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  • Articles  (2,228)
  • Engineering General  (2,178)
  • oxidation  (50)
  • 1985-1989  (2,228)
  • 1950-1954
  • Technology  (1,640)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (589)
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  • Articles  (2,228)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Plasma chemistry and plasma processing 6 (1986), S. 27-38 
    ISSN: 1572-8986
    Keywords: AC discharge ; discharge chemistry ; hydrogen cyanide ; cyanogen ; chemiluminescence ; oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Technology
    Notes: Abstract The AC high-voltage discharge-induced decomposition chemistry of trace levels of hydrogen cyanide in helium has been studied. In the absence of oxygen only low levels of molecular nitrogen were evolved. With oxygen added, the principal products were CO, CO2, and N2. No significant concentrations of NO or N2O were observed. The response of a commercial NOx analyzer to HCN and C2N2, in the NOx mode, was determined to be linear through three decades in concentration. The oxidation chemistry of HCN and C2N2 in the stainless steel converter of the analyzer was studied as a function of the amount of added oxygen.
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  • 2
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    Oxidation of metals 28 (1987), S. 195-211 
    ISSN: 1573-4889
    Keywords: Uranium ; corrosion ; oxidation ; liquid metal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The reactions of water vapor and oxygen with liquid uranium were studied by modulated molecular-beam mass spectrometric methods. Equivalent pressures of the reactant fluxes on the surface ranged from 6×10 −6 to 2×10−4 torr. Temperatures up to 1570 K were investigated. The metal surface was kept clean during reaction by mechanical removal of the oxide formed with a tungsten needle. For the clean liquid uranium surface, a water reaction probability of ∼0.4 was deduced both from measurement of the reaction-product hydrogen signal and by the temperature dependence of the scattered reactant signal. Based solely on the latter measure, a reaction probability of 0.6 was estimated for oxygen. The reaction probabilities on the clean surface were temperatureindependent. They decreased as the coverage of the surface by islands of oxide increased and, for water, appeared to approach a value of 0.08 for a surface completely covered with an oxide estimated to be 500 Å thick. Bombardment of the surface during reaction with argon ions produced an increase in the reactivity on solid uranium but had a negligible effect on the reaction probability for the liquid.
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  • 3
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    Oxidation of metals 28 (1987), S. 353-389 
    ISSN: 1573-4889
    Keywords: Grain growth ; nickel oxide ; high temperature ; oxidation ; nickel
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In systems such as the oxidation of nickel, in which grain-boundary diffusion in the oxide can control the rate of oxidation, understanding of the factors governing the grain structure is of importance. High-purity mechanically polished polycrystalline nickel was oxidized at 700°C, 800°C, and 1000°C for times up to 20 hr in 1 atm O2. The scale microstructures were examined by parallel and transverse cross section transmission electron microscopy (TEM) and scanning electron microscopy (SEM). Texture coefficients were found by X-ray diffraction (XRD). Each grain in the transverse section grain boundary networks was systematically analyzed for width parallel to the Ni-NiO interface and perpendicular length, for boundary radius of curvature and for number of sides. The variation of these parameters with depth in the scale was examined. In particular, grains were increasingly columnar (i.e., with ratio of grain length to width 〉1) at higher temperatures and longer times. Columnar grain boundaries tended to be fairly static; the columnar grain width was less than the rate controlling grain size predicted from the oxidation rate. The mean boundary curvature per grain provided a guide to the tendency for grain growth, except in the region of the Ni-NiO interface, where the boundaries were thought to be pinned.
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  • 4
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    Oxidation of metals 24 (1985), S. 133-148 
    ISSN: 1573-4889
    Keywords: oxidation ; nickel ; yttrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation of Ni, Ni-0.1 wt.% Y, and Ni-0.3 wt.% Y alloys was carried out in the temperature range 500–900°C at pO 2= 1 atm.
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  • 5
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    Oxidation of metals 24 (1985), S. 177-197 
    ISSN: 1573-4889
    Keywords: oxidation ; short-circuit diffusion ; nickel ; chromium ; binary Ni-Cr alloys
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The evidence for short-circuit diffusion during the oxidation of nickel, chromium, and nickel-chromium alloys is reviewed. On the basis of experimental evidence for the Ni/NiO and Cr/Cr2O3 systems, inferences are made about the role of short-circuit diffusion through the oxide scales forming on the binary nickel-chromium alloys. The review highlights the importance of scale microstructure in governing oxidation rates.
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  • 6
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    Oxidation of metals 26 (1986), S. 139-155 
    ISSN: 1573-4889
    Keywords: oxidation ; Co-Cr-Ti alloys ; kinetics ; scale morphology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Cobalt-based alloys containing 3,5,10,15, and 20% Cr with 1 and 3% Ti were oxidized at 1000°C in slowly flowing oxygen gas. In general, titanium additions decreased the oxidation rate with the most pronounced effect being observed at the 10% Cr level. Titanium accelerated the formation of Cr2O3 layers at the metal-oxide interface. Faceted CrxTiyOz spinel particles were found at the metal-oxide interface which varied in composition according to microprobe results. There was no evidence of spalling on the Co-Cr-Ti alloys studied in contrast to the severe spalling normally encountered in Ni-Cr-Ti alloys. Distinct morphological differences existed on the outer CoO layer of the 1% Ti alloys in comparison to the O and 3% Ti alloys.
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  • 7
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    Oxidation of metals 26 (1986), S. 305-314 
    ISSN: 1573-4889
    Keywords: oxidation ; metals ; high temperatures ; oxidation theory ; oxidation kinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A theoretical study on the high-temperature oxidation of thick oxide films grown under a time-dependent gas partial pressure is reported. The diffusion across the film is assumed to be the rate-limiting step of the overall reaction, and Wagner's hypotheses were used as the starting point for our reasoning. A general formulation for the oxidation under no time constant gas pressure, in terms of a time-dependent answer function is given. The effect of an external electric field on the reaction rate is also reported when a constant current density,J, is applied to the oxide scale. If the oxide is a good electronic conductor atJ=0 andt ≫ τ, we found that the reaction rate assumes formally the well-known Wagner's expression of the rate constant but with a gas partial pressure at oxide/gas interface which is a time function. If the oxide is a good ionic or electronic conductor, the effect due to an external electric field,J ≠ 0, on the reaction rate is the same as predicted by the Wagner's theory.
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  • 8
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    Oxidation of metals 26 (1986), S. 201-212 
    ISSN: 1573-4889
    Keywords: chromium ; NaCl ; chloride ; oxidation ; hot corrosion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper describes new phenomena about chloride-induced accelerated oxidation of chromium. Thermal analysis was adopted to examine the oxidation, which was studied particularly in the case of NaCl. The presence of NaCl remarkably accelerates the oxidation of chromium. The process occurs below the melting point of NaCl, and the main reaction product is Cr2O3. In the accelerated oxidation NaCl plays a catalytic role because it is not consumed significantly in the process. DTA analysis reveals that the heat of reaction also accelerates the rate of oxidation, especially at an early stage of the reaction. The accelerated oxidation takes place similarly under the presence of chlorides other than NaCl, but the oxidation rate depends on the kind of salt. Therefore the Cl− anion plays an important role in the process, while the nature of the cation affects the rate of acceleration.
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  • 9
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    Oxidation of metals 26 (1986), S. 231-252 
    ISSN: 1573-4889
    Keywords: oxidation ; titanium ; thermogravimetry ; microhardness ; modeling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation kinetics of commercial purity Ti-A55 exposed to laboratory air in the 593–760°C temperature range were continuously monitored by thermogravimetric analysis. The oxide thickness was measured by microscopy and the substrate contamination was estimated from microhardness measurements. The microhardness depth profiles were converted to oxygen composition profiles using calibration data. The oxygen diffusion coefficient in alpha-Ti appears to be approximately concentration independent in the 1–10 at. % oxygen range. The combination of an “effective diffusion coefficient” and an “effective solubility” at the oxide-metal interface usefully describes the diffusion process over the entire composition range. A model for the total parabolic oxidation kinetics, accounting for the two individual components, oxide growth and solid solution formation, has been proposed. Diffusion coefficient for oxygen in TiO2 has been estimated as a function of temperature and is found to be about 50 times the value in alpha-Ti. The metallographically prepared cross-sections of the oxidized specimens revealed a “moving boundary” in the substrate, parallel to the oxide-metal interface. This boundary was associated with a specific oxygen level of 5.0±0.5 at.%. It occurred at a distance from the oxide-metal interface which was correlatable with temperature and time of exposure. The diffusion coefficient corresponding to the composition of this moving boundary is in excellent agreement with the effective diffusion coefficient for the substrate contamination.
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  • 10
    ISSN: 1573-4889
    Keywords: Raman microscopy ; Fe-Cr alloys ; oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Raman microscopy has been used to study the nature and distribution of corrosion products formed on iron and iron-chromium alloys in air at high temperatures. Fe and Fe-Cr alloys containing 2, 5, 14, and 18% Cr were oxidized at 400, 600, and 850°C for 2 hr, in addition samples of each alloy were oxidized for 24 hr at 400°C to obtain thicker scales at this temperature. The corroded samples showed varying distributions of the oxides Fe2O3, Fe3O4, Cr2O3, and FeCr2O4. Fe2O3 and Fe3O4 were formed exclusively on the pure iron and the 2 and 5% chromium alloys at all temperatures and on the 14% chromium alloy at 400°C. The 14 and 18% Cr alloys formed scales containing Cr2O3 and FeCr2O4 at the higher temperatures (600 and 850°C). Examples of small regions of Fe2O3 being formed within Cr2O3-FeCr2O4 scales are suggested as possible indications of breakaway corrosion initiation sites.
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  • 11
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    Oxidation of metals 27 (1987), S. 83-93 
    ISSN: 1573-4889
    Keywords: silicon carbide ; oxidation ; constructional ceramics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The process of high temperature oxidation of two silicon carbide based materials differing by methods of their production and properties has been studied up to 1500°C in air. The oxidation was performed under the isothermal conditions and at the programmed heat rate of 10° per minute. It was found that the oxidation resistance of the material was the function of the presence of extrinsic metals having close affinity for oxygen. It was also found that under heating up to 1500°C in air phase transitions occurred in the SiC surface layer.
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  • 12
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    Oxidation of metals 26 (1986), S. 385-396 
    ISSN: 1573-4889
    Keywords: coatings ; oxidation ; rare earth addition ; dispersed oxides ; scale adhesion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Oxidation studies were conducted on plasma sprayed coatings of Ni-20Cr-12.5Al containing one of the following: 1% MgO, 1% La2O3, 1% Y2O3, and 0.8% Y. The alloy powders containing dispersed oxides were prepared by a variety of processes employing attrition and ball milling. The TEM characterization of the plasma sprayed deposits of Ni-20Cr-12.5Al-1Y2O3 indicated that the oxide particles ranged from almost pure aluminum oxide to various compounds of aluminum and yttrium oxide. In cyclic tests conducted at 1150 and 1225°C, the coating containing 1% Y2O3 appeared to provide the best oxidation resistance. The oxidation resistance appeared to be influenced by the size and distribution of the oxide particles.
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  • 13
    ISSN: 1573-4889
    Keywords: oxidation ; adhesion ; growth-mechanisms ; impurities ; sulfur
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The “sulfur effect” theory proposes that elements such as sulfur segregate to the scale-metal interface, where they have a deleterious effect on scale-metal adhesion, and that reactive elements and dispersions of their oxides are beneficial because they prevent this segregation. Evidence in favor of this theory has been obtained by showing that the adhesion of the scale formed on chromium in 0.1 atm. oxygen at 950°C. is greatly improved if the chromium is annealed beforehand in hydrogen instead of in vacuo. It is shown that the theory can explain not only all the experimental observations regarding the beneficial effects of reactive elements and their oxides on scale-metal adhesion, but also their effects on scale growth-mechanisms.
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  • 14
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    Oxidation of metals 26 (1986), S. 105-124 
    ISSN: 1573-4889
    Keywords: oxidation ; titanium ; thermogravimetry ; microhardness ; modeling ; mechanical properties ; space shuttle reentry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Ti-6Al-2Sn-4Zr-2Mo titanium alloy is a candidate material for multiwall thermal protection system concepts for advanced space transportation system vehicles. The total oxidation kinetics for this alloy, exposed to laboratory air in the 593–760°C range, were monitored by thermogravimetric analysis. The oxide thickness was measured by microscopy and the substrate contamination was estimated from microhardness measurements. Tensile elongation was determined for selected foil specimens after exposure to simulated space shuttle reentry conditions. The variation of total weight gain with time was found to have two distinct parabolic stages separated by a transient region. This transient was due to a process which involved an increase in the parabolic growth rate constant for the oxide and a simultaneous increase in oxygen solubility at the oxide metal interface. The time dependent increase in oxygen solubility at the interface was from about 7 at. % in stage 1 to about 18 at. % in stage 2. The diffusion coefficient for oxygen in the alloy was determined as a function of temperature using the difference between the total weight gain in stage 1 and the corresponding weight gain due to oxide growth. A model for the total oxidation kinetics, accounting for the two individual components namely oxide growth and solid solution formation, is proposed. The activation energy for the diffusion of oxygen in the alpha-solid solution is shown to be roughly equal to the activation energy for the degradation of tensile elongation for the alloy in the foil gage condition.
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  • 15
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    Oxidation of metals 26 (1986), S. 315-332 
    ISSN: 1573-4889
    Keywords: oxidation ; multilayer oxides ; oxidation kinetics theory ; diffusion mechanisms ; iron
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A quantitative theory for the growth of three-layered oxide scales on pure metals that form MevO, MeδO, and MeɛO has been developed. The theoretical parabolic rate constants,K p (MevO),K p (MeδO), andK p (MeɛO), for the simultaneous growth of each oxide on metals are related to oxidation data of the overall rate constant,K p , and the oxide thickness ratios. These theoretical parabolic rate constants can also be calculated from diffusion data in each oxide, and the oxide thickness ratios can therefore be predicted. To verify the validity of the theory, it was applied to the oxidation of iron in air at temperatures of 800 to 1200° C. Good agreement was found between the theoretical parabolic rate constants calculated from oxidation data and from diffusion data for wustite and magnetite. However, to match with the rate constant calculated from oxidation data, additional information about short-circuit diffusion in hematite is required.
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  • 16
    ISSN: 1573-4889
    Keywords: oxidation ; steam ; Ni-base superalloy ; Al oxides ; Ti oxides
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The role of aluminum and titanium on the oxidation process of a nickel-base superalloy containing 18.89%Cr, 2.13%Al, and 2.41%Ti was investigated in steam at 800°C. A Cr2O3-rich scale was formed on the alloy surface. Aluminum formed only internal oxides below the Cr2O3-rich scale. On the other hand, titanium formed not only internal oxides but also oxides in the scale and the granular particles of TiO2 outside the scale. Agglomeration of the TiO2 particles also occurred. The oxidation behavior of aluminum and titanium was discussed from thermodynamic and kinetics aspects.
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  • 17
    ISSN: 1573-4889
    Keywords: laser treatment ; chromia scales ; oxidation ; nickel-chromium alloys ; laser glazing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The influence of laser surface treatment on the isothermal oxidation of Ni-10%Cr and Ni-15%Cr at 1025°C in oxygen at 1 atm pressure has been studied. Particular emphasis has been placed on the progressive establishment of a Cr2O3 healing layer, which is facilitated by rapid-diffusion paths for chromium to the surface from the bulk alloy. For nonlaser treated alloys, such paths are alloy grain boundaries. A partial Cr2O3 layer forms initially in localized sites at, and immediately adjacent to, these boundaries and progresses into the alloy grains in a stepwise manner following lateral diffusion of chromium from the grain boundaries, thereby developing a contoured configuration. For Ni-15%Cr, there is sufficient chromium in the bulk alloy grains to sustain the eventual development of a self-healing layer parallel to the surface. For Ni-10%Cr, this is not the case and complete development of the healing layer results entirely from the stepwise progression from the grain boundaries. Establishment of the healing layer on laser-glazed surfaces is facilitated by additional rapid-diffusion paths, particularly retained alloy grain boundaries, retained alloy twins, a laser-induced microstructure and solidification artifacts (such as ripples). The relative importance of these features is discussed in relation to the oxidation behavior.
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  • 18
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    Oxidation of metals 27 (1987), S. 95-102 
    ISSN: 1573-4889
    Keywords: oxidation ; acoustic emission technqiue ; copper
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The acoustic emission technique has been utilized as an alternative technique to thermogravimetry to study the anomalous behavior of copper metal oxidation at 500°C The present work demonstrates an excellent example of the application of this technique in detecting cracks in growing oxide films.
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  • 19
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    Oxidation of metals 29 (1988), S. 487-497 
    ISSN: 1573-4889
    Keywords: Alloy ; oxidation ; platinum ; palladium ; rhodium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The surfaces of Pt-45Pd-10Rh foils oxidized over the range 875–1075 K in a 20% O2-Ar mixture at atmospheric pressure were examined by Auger electron, X-ray photoelectron, and Raman spectroscopy. The composition of the oxide formed on the surface was found to vary with temperature from predominantly PdO at 875 K to PdRhO2 at 1075 K. Only a few atomic percent Pt was observed, present in both the metallic and (apparently) +1 oxidation states at 875 K and in the metallic state at 1075 K. The formation of PdRhO2 (and no Rh2O3) at 1075 K was found to persist upon reoxidation following a low-temperature reduction cycle in which the increased Rh concentration on the surface was retained. An oxidation-induced Rh enrichment of the surface of the alloy foil beyond 50 at. % does not appear likely within the temperature/pressure regime investigated.
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  • 20
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    Oxidation of metals 31 (1989), S. 71-89 
    ISSN: 1573-4889
    Keywords: oxidation ; duplex NiO scale ; segregation ; 18O tracer ; secondary ion-mass spectrometry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The development of a duplex NiO scale microstructure on a Ni-0.1 wt.% Al alloy at 900°C has been examined, principally using secondary-ion mass spectrometry and analytical transmission electron microscopy. The18O-tracer distribution following sequential oxidation in18O2/18O2 showed that the inner NiO layer formed as a result of gaseous-oxygen penetration of the scale. The provision of pathways for oxygen transport as well as the role of Al, Si, and Ce segregation at oxide grain boundaries in influencing the growth rate and spallation behavior of the scale are discussed.
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  • 21
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    Oxidation of metals 31 (1989), S. 431-452 
    ISSN: 1573-4889
    Keywords: aluminides ; oxidation ; TEM cross sections
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Cross sections of oxide scale/(Ni-Al) intermetallics were prepared by a new method and studied using primarily transmission electron microscopy (TEM). The cross sections were prepared by encasing an oxidized metal specimen sandwich in a low-melting-temperature zinc alloy. Observations of oxidized zirconium-doped β-NiAl cross sections revealed crystallographic voids beneath an adherent Al2O3 scale. The oxide-metal interface was incoherent, but a high dislocation density in the metal near the interface suggested that a large tensile stress was induced by the attached oxide scale. A duplex Al2O3-NiAl2O4 scale formed on zirconium-doped and zirconium/boron-doped γ′-Ni3Al alloys. Additional results are presented involving oxidation mechanisms and oxide-metal interface structures.
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  • 22
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    Oxidation of metals 32 (1989), S. 317-335 
    ISSN: 1573-4889
    Keywords: 316L austenitic stainless steel ; porosity ; various additions in stainless steel ; oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of sintered 316L austenitic stainless steel-Y2O3 composites and the effect of various additions, such as copper (up to 3 wt.%), bronze (up to 3 wt.%), phosphorus (up to 2 wt.%), and silicon (up to 5 wt.%) have been studied at 550°C inflowing oxygen at one atmosphere pressure for a maximum period of 9 hr. Among all the alloys studied, 316L-1% P showed excellent oxidation resistance. Under the general conditions, Cr2O3 is always the preferred protective scale. In general, Y2O3-containing composites showed greater oxidation as compared to 316L with other additions.
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  • 23
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    Oxidation of metals 32 (1989), S. 295-316 
    ISSN: 1573-4889
    Keywords: Fe-base superalloy ; oxidation ; corrosion in water vapor ; creep rupture strength in water vapor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation kinetics and creep behavior of Incoloy 800 were studied in air and in water vapor charged with oxygen. Oxidation kinetics were determined by thermogravimetry. The creep behavior of samples tested in air and in H2O∶O2=1∶1 atmospheres was investigated by electron microscopic techniques. The oxidation rate of samples tested in air was governed by a p-conducting chromia interlayer. Depending upon water vapor pressure, chromia became n-conductive. As a consequence, a continuous rate-governing silica interlayer formed. The oxygen activity in the alloy was established by the dissociative pressure of the respective diffusion-rate-governing oxide scale. The stability of the dispersion-hardening Ti(C, N) particulates within the alloy was affected by the respective oxygen activity. In the samples tested in air, partial oxidation of the particulates due to enhanced oxygen activity caused a loss of coherency with the matrix. As a result, the deformation behavior during creep was changed to planar-slip mode, bringing about loss of creep resistance and ductility.
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  • 24
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    Oxidation of metals 23 (1985), S. 17-33 
    ISSN: 1573-4889
    Keywords: Cold work ; oxidation ; spinel ; 21/4 Cr-1 Mo steel
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The effect of cold work on the oxidation rate of 21/4 Cr-1 Mo steel in pure oxygen at 1 atm pressure at temperatures ranging from 400 to 950
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  • 25
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    Oxidation of metals 24 (1985), S. 233-263 
    ISSN: 1573-4889
    Keywords: oxidation ; carbide dispersion ; iron-base alloys ; decarburization ; thermodynamic stability ; oxidation resistance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of Fe-5M-C alloys (where M is Si, Ti, V, Nb, Ta, Cr, W, or Ni, and C is 0, 0.1, 0.4, 0.8 or 1.2 wt.%) has been studied in the temperature range of 600–850°C in one atmospheric pressure of oxygen. Except for Si-containing alloys, all the alloys exhibited a parabolic rate law during oxidation, and the oxidation rate increased with increasing carbon content. The deviations from the above generalization can be explained on the basis of either phase composition of the alloy matrix at the oxidation temperature or carbon losses incurred during oxidation. Alloys rich in carbide phases have much lower oxidation rates than alloys containing solid-solution phases. This has been attributed to the decrease in mobility of carbon in iron-base alloys in the presence of a carbide-formin addition. The disruption of the oxide scales, which is the result of decarburization, also influences the oxidation behavior of iron-base alloys. At the 1.2% C level, the parabolic rate constant, Kp, follows the order: $$Fe - 5Cr 〉 Fe 〉 Fe - 5Ni 〉 Fe - 5Ti 〉 Fe - 5Ta 〉 Fe - 5Nb 〉 Fe - 5V 〉 Fe - 5W$$ The order is approximately similar to the increasing free energy sequence for the oxidation of carbides to oxides in Fe-5M-C alloys.
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  • 26
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    Oxidation of metals 24 (1985), S. 331-350 
    ISSN: 1573-4889
    Keywords: oxidation ; initial stages ; reactive element addition ; oxide grain growth
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Structural Fe-Cr-Ni alloys rely upon a thermally formed, protective, surface oxide scale to prevent rapid corrosive degradation. The protective capacity of the surface scale may be strongly influenced by the alloy composition, with minor additions of reactive elements playing an important role in the initial stages of scale formation. The influence of an addition of Zr on initial scale growth on an Fe-Cr-Ni alloy has been investigated in situ utilizing an environmental cell incorporated into a high-voltage electron microscope. Oxidation experiments were conducted on a pure ternary Fe-Cr-Ni alloy and one containing 6 wt.% Zr for durations up to 1800 s. At 500°C in a low oxygen-partialpressure environment, a continuous surface oxide layer formed more quickly on the Zr-free alloy than on the Zr-modified alloy. Also, on the Zr-modified alloy, the scale was richer in Cr, and the rate of increase in oxide grain size was also greater.
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  • 27
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    Oxidation of metals 23 (1985), S. 77-106 
    ISSN: 1573-4889
    Keywords: cobalt-chromium ; oxidation ; internal oxidation ; annealing
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The influence of an initial preinternal oxidation treatment in Co/CoO on the subsequent oxidation behavior of a series of dilute Co-Cr alloys (containing 0–1.5 wt. % Cr) in 105 and 103 Pa oxygen at 1473–1623 Khas been investigated. Particular emphasis has been placed on determining the solubility and mobility of Cr3+ ions in CoO. Use has been made of subsequent annealing in argon $$(p_{O_2 } - 10^{ - 1} {\text{ }}Pa)$$ .
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  • 28
    ISSN: 1573-4889
    Keywords: grain boundary diffusion ; nickel oxide ; oxidation ; active element
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract NiO scales were formed on pure Ni and Ni-0.1 wt.% Y alloy by oxidation in pure O2 at 1200°C, and the grain boundary self-diffusion coefficients of Ni in the dense region of the scale were measured by the tracer-sectioning technique. The volume diffusion coefficient was also measured in the alloy scale. The grain boundary and volume diffusion coefficients and the grain boundary width were found to be the same for the two materials within the experimental uncertainty.
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  • 29
    ISSN: 1573-4889
    Keywords: oxidation ; Y2O3 ; dispersoid ; 80Ni-20Cr ; nucleation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Specimens of a 80Ni-20Cr type alloy, with and without Y2O3 dispersoid particles, were oxidized at 1000°C in H2/H2O mixtures where the partial pressure of oxygen (P O 2) was varied between 103 and 1024 atm. Oxide particles nucleated homogeneously on both alloys, and preferential nucleation on dispersoid particles at the surface was not observed. Continuous Cr2O3 films formed slightly faster at aP O 2 of 10−21 atm on the alloy containing the dispersoid, but the difference was negligible at higher pressures. Oxidation atP O 2=10-19 and 10−21 atm involved both the formation of Cr2O3 and the evaporation of chromium. Thin films of α-Al2O3 were observed on both alloys after oxidation atP O 2.
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  • 30
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    Oxidation of metals 25 (1986), S. 83-92 
    ISSN: 1573-4889
    Keywords: NaCl vapor ; Ni-Cr alloys ; oxidation ; scales
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Ni-Cr alloys are known for their resistance to high temperature oxidation. The kinetics of scale formation and the nature of the scale in these alloys are affected by NaCl liquid or vapor. There have been a few investigations dealing with the influence of NaCl on long-time exposure. But the nature of reaction at short times can provide information on the initiation of such attack. In this investigation, Ni-Cr alloys with Cr varying from 0 to 25 wt% were exposed to NaCl vapor at 850°C for a few minutes. The surface chemistry of these alloys along with the unattached ones was analyzed by Auger electron spectroscopy. The nature of scale and the distribution of chlorine was found to vary with the Cr content in the alloys, which has a direct bearing on the rate of oxidation of these alloys in NaCl vapor.
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  • 31
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    Oxidation of metals 29 (1988), S. 75-102 
    ISSN: 1573-4889
    Keywords: Ni-Cr-Al Alloys ; oxidation ; diffusional transport ; breakaway oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The cyclic oxidation behavior of several cast γ+β, Ni-Cr-Al(Y, Zr) alloys and one LPPS γ+β, Ni-Co-Cr-Al(Y) alloy was examined (γ, fcc; β, NiAl structure). Cyclic oxidation was performed by cycling between 1200°C and approximately 70°C. Oxide morphologies and microstructural changes during cyclic oxidation were noted. Recession of the high-Al β phase was nonparabolic with time. Kirkendall porosity resulting from diffusional transport within the alloy was observed in the near-surface γ-phase layer of one alloy. Concentration profiles for Ni, Cr, and Al were measured in the γ-phase layer after various cyclic oxidation exposures. It was observed that cyclic oxidation results in a decreasing Al concentration at the oxide-metal interface due to a high demand for Al (a high rate of Al consumption) associated with oxide scale cracking and spalling. In addition, diffusion paths plotted on the ternary phase diagram shifted to higher Ni concentrations with increasing cyclic oxidation exposures. The alloy with the highest rate of Al consumption, and highest Al content, underwent breakaway oxidation after 500 1-hr cycles at 1200°C. Breakaway oxidation occurred when the Al concentration at the oxide-metal interface approached zero. The relationship between the Al transport in the alloy and breakaway oxidation is discussed.
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  • 32
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    Oxidation of metals 29 (1988), S. 225-238 
    ISSN: 1573-4889
    Keywords: Nickel ; SO2 ; oxidation ; sulfidation ; diffusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The reaction of nickel with SO2 has been studied. The composition and morphology of the scale formed in sulfur dioxide (1.013×105 Pa) at 600°C and the transport phenomena occurring in the growing scale have been investigated. The experimental methods consisted of metallography, scanning electron microscopy, and electron microprobe analysis. The transport phenomena have been studied by the marker method and with the use of a35S radioisotope. The scale was composed of a NiO and Ni3S2 mixture and grew by the outward diffusion of nickel and inward transport of SO2 molecules through the discontinuities of the scale. It has been shown that outward transport of sulfur originating from grains of sulfide occurs.
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  • 33
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    Oxidation of metals 27 (1987), S. 103-120 
    ISSN: 1573-4889
    Keywords: oxidation ; iron ; aluminum ; silicon
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper reports an investigation into reducing the Cr concentration in commercial-grade stainless steels while maintaining oxidation protection at elevated temperatures. Aluminum and Si were added as partial substitute alloy elements to enhance the reduced operation protection resulting from Cr concentration reduced by approximately 50 pct of that found in stainless steels. The goal of this study was to determine the oxidation mechanism of such an Fe, Al-Si alloy: Fe-8Cr-14Ni-1Al-3.5Si-1Mn. During the initial oxidation period the protection resulted from a thin film of Al2O3 over an Fe and Cr spinel. Long-term oxidation protection resulted from the gradual formation of a Cr sesquioxide (Cr2O2) inner oxide layer. Eventually an outer oxide layer formed that was a mixed composition spinel of Cr and Mn (MnO · Cr2O3). The Al2O3, which was part of the original protective layer flaked off early in the oxide testing, and the aluminum oxide that formed later appeared as an internal oxide precipitate.
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  • 34
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    Oxidation of metals 30 (1988), S. 259-266 
    ISSN: 1573-4889
    Keywords: oxidation ; adhesion ; growth mechanisms ; sulfur ; impurities ; segregation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The results of studies involving both alumina and chromia formers have demonstrated that segregation of low levels of indigenous impurity elements commonly found in metals and alloys can segregate to the scale-metal interface. Such segregation markedly affects protective-oxide-scale adherence to produce scale exfoliation. The most important element to cause exfoliation effects is sulfur, which is not uncommonly present in metals and alloys to levels of ∼50 ppm. The reduction of such sulfur to the 1–2 ppm range strongly increases oxide scale adherence without requiring additions of “active” elements, such as yttrium. The results of experiments that led to this conclusion are reiterated.
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  • 35
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    Oxidation of metals 30 (1988), S. 329-343 
    ISSN: 1573-4889
    Keywords: Fe-S-O ; Co-S-O ; oxidation ; sulfidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The equilibrium oxygen potentials of the two-phase equilibria Fe3O4/Fe1−xS, Co1−xS/Co3S4, Co3S4/CoS2, Co1−xS/CoO, and CoO/CoSO4 were measured as a function of temperature. A solid-state emf technique using calcia-stabilized zirconia (CSZ) solid electrolyte was used. These equilibria were studied atP SO2≃1 atm; the equilibrium Co1−xS/CoO was also studied atP SO2≃0.1 atm. Two emf cell designs were used for the measurements atP SO2≃1 atm andP SO2≃1 and 0.1 atm, respectively. The homogeneity range of FeS in equilibrium with Fe3O4 and that of Co1−xS in equilibrium with CoO at ∼ 1073 K andP SO2≃1 atm were measured by electron microprobe analysis.
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  • 36
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    Oxidation of metals 30 (1988), S. 267-269 
    ISSN: 1573-4889
    Keywords: oxidation ; adhesion ; impurities ; sulfur
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 37
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    Oxidation of metals 32 (1989), S. 433-447 
    ISSN: 1573-4889
    Keywords: chromium ; oxidation ; scale failure ; scale morphology
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation kinetics of chromium at 900°C are independent of the oxygen partial pressure. Although this observation gives evidence for a defect mechanism where chromium interstitials account for the chromium transport in the oxide scale, the experimental phenomena do not support one single model. The occurrence of oxide whiskers and oxide ridges are explained by the energy of activation for the breakup of the oxidant molecule. Large oxide pegs are formed at metal multiple-grain junctions after scale breakdown.
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  • 38
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    Oxidation of metals 28 (1987), S. 73-98 
    ISSN: 1573-4889
    Keywords: chromium ; oxidation ; sulfidation ; mixed oxidants
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation of pure chromium in H2-H2O-H2S gas mixtures was studied as a function of gas composition at 900°C. Oxidation kinetics were measured using a thermogravimetric apparatus, and the oxidation products were characterized using scanning electron microscopy (SEM) and scanning transmission electron microscopy (STEM). Chromia scales formed when the H2O/H2S ratio was about 10 or greater. Scales that comprised a mixture of Cr2O3 and chromium sulfides formed when the H2O/H2S ratio was about 3, even though Cr2O3 was the thermodynamically stable phase under these conditions; i.e., a kinetic boundary exists for pure chromium in H2-H2O-H2S gas mixtures. The transition from chromia scale formation to the formation of scales containing both oxide and sulfide with a change in gas composition (decrease in the H2O/H2S ratio) is associated with an inhibition of the overgrowth of growing, metastable sulfide nuclei by the thermodynamically stable Cr2O2 phase. Presulfidation experiments confirmed that metastable chromium sulfide can continue to grow after H2O is added to the gas phase when the H2O/H2S ratio in the gas phase is less than a critical value at the temperature of interest.
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  • 39
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    Oxidation of metals 25 (1986), S. 217-234 
    ISSN: 1573-4889
    Keywords: nickel alloys ; oxidation ; sulfidation ; grain-boundary segregation ; corrosion mechanism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The corrosion of nickel with alloy additions of Si, Fe, and/or Mn up to 4 wt% has been studied in SO 2+O2/SO3 at 700°C. All alloy additions greatly improve the corrosion resistance of nickel in oxygen-rich atmospheres (O2 with about 4% SO2); the best improvements are achieved with Si, Fe+Si, and Fe+Mn+Si additions. High-purity nickel corrodes rapidly under these conditions; the scale then consists of NiO+Ni3S2, and the sulfide forms a three-dimensional network along the grain boundaries of the NiO grains and serves as the diffusion path for rapid outward migration of nickel. From studies of the microstructure and distribution of the alloying elements in the protective scales, it is proposed that the alloying additions exert their beneficial effects by accumulating/segregating at the grain boundaries of NiO (e.g., as silicates) and thereby influence the wetting characteristics and disrupt the sulfide network.
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  • 40
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    Oxidation of metals 25 (1986), S. 235-268 
    ISSN: 1573-4889
    Keywords: oxidation ; Mn2O3 ; spinels ; manganowustite ; mechanisms ; fusion reactors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation in air of an austenitic Fe-Mn-Cr steel containing 17.8 Mn, 9.5 Cr, 1.0 Ni, 0.27 C, and 0.03 N was studied over the range 700–1000°C. Oxidation of surface-abraded samples at “low” temperatures, 700–750°C, resulted in only Mn 2O3 containing dissolved chromium, except at corners, where large nodules containing spinel and manganowustite formed. The Mn2O3 layer grew into the substrate forming a globular-type film. This growth mode was the result of slow interdiffusion in the alloy after the cold-worked surface layer had been recrystallized and/or consumed, as evidenced by the formation of a ferrite layer subjacent to the scale and by the instability of the planar interface. No internal oxidation was observed beneath the Mn2O3 film at either 700 or 750°C. Samples oxidized in the“high-temperature” region, 800–1000°C, exhibited vastly different behavior, forming thick stratified scales at long times (24 hr), the scales consisting of a very thin outer layer of Mn2O3 (with appreciable iron in solution), Fe-Mn spinel beneath the outer layer, and a thick inner layer of manganowustite and a chromium-containing spinel. No chromium was found in the outer two layers. A thin layer of nearly pure Fe2O3 formed between Mn2O3 and the outer spinel. Quasiparabolic kinetics were observed. The high-temperature rates were about 103 to 104 times greater than at low temperatures at the “transition” temperature. The rapid rates at high temperatures were attributed to manganowustite growth. However, oxidation of an electropolished sample at 750°C, from which the superficial cold-worked layer had been removed, formed scales similar to those observed at high temperatures at comparable rates. A difference by a factor of over 104 existed between the oxidation rate of the electropolished sample and the surface-abraded sample at 750°C. The much slower oxidation rate of the latter is attributed to greatly enchanced manganese diffusion through the high dislocation-density, cold-worked layer. Short-time tests at 800°C revealed an incubation period during which a thin protective layer of Mn2O3 formed. The incubation period corresponded to the recrystallization time of the cold-worked layer. Subsequently, nodular growth occurred which was associated with internal oxidation. The nodules, consisting of spinel and manganowustite, eventually linked up to form a thick, stratified scale. Comparison of the scale structures with calculated phase diagrams of composition versus oxygen activity (at constant temperature), showed that the protective films formed at low temperatures were due to kinetics factors, involving enhanced manganese diffusion through the cold-worked layer, rather than to thermodynamics. A model for the breakdown of protective films is proposed which involves internal oxidation.
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  • 41
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    Oxidation of metals 26 (1986), S. 125-138 
    ISSN: 1573-4889
    Keywords: hot corrosion ; oxidation ; aluminide coatings ; nickel ; nickel alloys
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Aluminide and chromaluminide diffusion coatings on nickel and a nickel-base superalloy, EI 867, were subjected to different corrosion tests consisting of oxidation under isothermal and thermal cycling conditions, and oxidation in the presence of fused sodium sulfate. It was found that chromium present in the surface layers of aluminide coatings has a beneficial effect on their resistance to oxidation and hot corrosion.
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  • 42
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    Oxidation of metals 26 (1986), S. 45-76 
    ISSN: 1573-4889
    Keywords: Ni-base alloys ; oxidation ; influence of oxygen partial pressure at high temperatures ; kinetics and mechanisms of high temperature oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of the Ni-base alloys IN 617, IN 713 LC, Ni20Cr, and Ni20Cr+Si has been investigated in the temperature range from 850°C to 1000°C in air and at low-oxygen partial pressure p(O2) (10−19 to 10−16 bar). With the exception of alloy IN 713 LC, the materials show no influence of p(O2) on the oxidation mechanisms and the kinetics. This result can be explained by the formation of a dense Cr2O3 layer, the growth rate of which is controlled by the Cr ion interstitial concentration in Cr2O3 at the phase boundary oxide/alloy and the mobility of Cr ions in Cr2O3. For the alloy IN 713 LC which develops a dense Al2O3 layer in air, a modified transition mechanism at low p(O2) leads to the formation of Cr2O3 at the surface and a strong internal oxidation of Al.
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  • 43
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    Oxidation of metals 27 (1987), S. 1-20 
    ISSN: 1573-4889
    Keywords: oxidation ; titanium ; silicon ; adherence ; titanium-silicon alloys
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of Ti-Si alloys (0.25, 0.5, and 1 Wt. % Si) was investigated between 550 and 700°C; in oxygen by continuous thermogravimetry for a maximum duration of about 500 hr and, in air by daily weighing for durations from a few hundred to several thousand hours. The kinetics results revealed that the presence of silicon leads to a decrease in oxidation rate which is more evident when the temperature is raised and the silicon content is increased. Morphological and structural examinations revealed that silicon modifies the internal architecture of oxide layers when compared with unalloyed titanium; in particular, reduced porosity in the layers is observed. Analysis showed that silicon is uniformly distributed in the oxide layer. However, while part of the silicon is in solid solution in the rutile, some is also precipitated as small crystals (φ 〈1 μm at 850°C) of SiO2, of cristobalite structure. The adherence of oxide layers to the metal substrate was measured after cooling of samples; the addition of silicon has been observed to modify, in a manner dependent on its content, the adherence of oxide layers.
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  • 44
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    Oxidation of metals 27 (1987), S. 315-332 
    ISSN: 1573-4889
    Keywords: chromium ; NaCl ; oxidation ; hot corrosion ; mechanism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation rate of NaCl-coated chromium was measured over the temperature range of 823–1043 K. Although the melting point of NaCl is 1074 K, accelerated oxidation was observed at every temperature. Oxidation mass-gain curves were divided into two types. Type I involved only accelerated oxidation during the initial stage followed by the formation of a thin protective Cr2O3 film. Type II pertained to an acceleration over a long time, forming a thick and nonprotective Cr2O3film containing Na2CrO4. The former type of oxidation occurred at lower temperatures or with a small amount of NaCl, whereas the latter occurred at higher temperatures and with large amounts of NaCl. A comparison of these oxidation processes with those by CaCl2 or BaCl2, revealed two problems: (1) Why was the oxidation rate of chromium so high in the presence of NaCl?, and (2) Why did the high oxidation rate continue for such a long time?
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  • 45
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    Oxidation of metals 27 (1987), S. 301-314 
    ISSN: 1573-4889
    Keywords: diffusion mechanisms ; point defects ; oxidation ; NiO-V2O5
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A model is proposed for the oxidation of metals including both bulk crystal lattice diffusion and short-circuit diffusion paths. Assuming local equilibrium between point defects in the bulk and in grain boundaries, we obtain an effective parabolic rate constant keff=kbulk [1+θ exp-(ΔH/RT],where ΔH is the enthalpy for the reaction between point defects in the bulk and in short circuits, θ is the fraction of the short-circuit area, and T is temperature. In the case of the high-temperature oxidation of nickel coated with a thin film of vanadium pentoxide, this model yields to a rate law with a critical oxygen pressure P c. The nickel vanadium oxide located in the short circuits of the growing oxide NiO is liquid below Pc, leading to a rapid short-circuit diffusion. Above this value, a vanadate precipitates and acts as diffusion blocks for migrating Ni ions.
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  • 46
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    Oxidation of metals 29 (1988), S. 153-167 
    ISSN: 1573-4889
    Keywords: zirconium ; oxidation ; parabolic kinetics ; linear kinetics ; cubic kinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A model is proposed to describe parabolic followed by linear oxidation kinetics of zirconium and zircaloy. The one-dimensional description presented here for parabolic kinetics considers the superficial oxide layer as formed by a succession of diffusion layers of crystalline oxide alternating with short-circuit paths for diffusion. Within this framework, the parabolic-linear transition can be viewed as the result of the rupture of the thin diffusion laters, leaving behind long channels connecting the oxidizing environment with the diffusion region adjacent to the oxide-metal interface. These channels represent easy paths for oxygen diffusion. This model unifies the description of parabolic oxidation of Zr with that of linear kinetics and can be also connected with the description of cubic oxidation kinetics. The latter can be thought of as the result of a recrystallization process where the oxidation rate diminishes more than during a parabolic regime as time progresses due to the growing influence of volume diffusion.
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  • 47
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    Oxidation of metals 29 (1988), S. 409-418 
    ISSN: 1573-4889
    Keywords: Microstructure ; oxidation ; chromium oxide
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Four commercially available Ni-Cr-based alloys used with porcelain enamels were studied. Major alloying elements were Al, Be, Si, B, Nb, and Mo. All alloys were multiphase. During heat treatments simulating enameling conditions, phase changes occurred in most alloys and were detected using hardness testing, differential thermal analysis (DTA), and microscopy. Oxidation of these alloys at 1000°Cfor 10 min produced an oxide layer consisting principally of chromium oxide, but the oxide morphology varied with each alloy depending on the alloy microstructure. Controlling alloy microstructure while keeping the overall composition unchanged may be a means of preventing wrinkled poorly adherent scales from forming.
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  • 48
    ISSN: 1573-4889
    Keywords: Ni-base alloy IN 617 ; reactor helium ; oxidation ; carburization ; decarburization ; kinetics ; mechanisms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Application of the technical nickel-base alloy IN 617 in the primary circuit of the high-temperature gas-cooled reactor is limited essentially by the chemical reactions with the impurities (CO, CO2, H2, CH4, H2O) in the helium coolant. The interactions of the alloy with the reactive impurities in different helium-base gases were investigated by thermogravimetry in a gas-tight microbalance and by simultaneous measurement of the changes in gas composition by a continuous sensitive mass spectrometric analysis. The results demonstrate that the set of six reaction equations deduced in part 1 can be applied to describe the corrosion of the alloy. The occurrence of the various reactions is determined essentially by temperature. For the case of a standardized helium gas (HHT-He), three temperature regions can be distinguished. Below a critical temperature (about 1105 K), the presence of CO can cause simultaneous oxidation and carburization. Above this temperature, this reaction does not reverse itself. Rather, oxidation by CO2 and H2O takes place that shows, after a transient period, the same kinetics observed in undiluted oxygen-containing gases. At temperatures above about 1205 K, decarburization of the alloy accompanied by the production of CO takes place, leading to severe destruction of the carbide microstructure and, therefore, limiting the applicability of the material.
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  • 49
    ISSN: 1573-4889
    Keywords: constant-extension-rate tests ; Incoloy 800H ; sulfidation ; oxidation ; sol-gel method ; cerium ; ceramic coatings
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The mechanical properties of ceramic coatings containing cerium oxide, prepared by the sol-gel method and used to protect Incoloy 800H against aggressive environments, are reported. Deformation and cracking behavior in oxidizing and sulfidizing environments has been investigated by constant-extension-rate tests. Extension rates were between 9.3×10−6 and 3.7×10−7 sec−1 at 823 〈T〈973 K. Under these conditions, cerium oxide sol-gel-coated specimens do not show any failure at extensions of 1.0% or more, but in hydrogen, sulfide failure is found at lower extensions than in air.
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    Oxidation of metals 31 (1989), S. 305-323 
    ISSN: 1573-4889
    Keywords: oxidation ; sulfidation ; Fe-Cr-Ni alloys ; Nb addition ; Zn addition ; breakaway corrosion ; mixed-gas atmospheres
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Structural Fe-Cr-Ni alloys may be rapidly degraded in oxygen-sulfur mixed-gas environments at elevated temperatures unless protective oxide scales can be formed and maintained. The breakaway corrosion process was examined in model alloys of Fe-25wt.% Cr-20wt.% Ni with and without Nb and Zr additions. Oxide scales were preformed in S-free environments and subsequently exposed to oxygen-sulfur mixed-gas atmospheres. Preformed scales were found to delay the onset of breakaway corrosion. The beneficial effects of refractory metal additions were achieved via formation of a barrier layer at the Cr2O3 alloy interface.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 285-299 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a finite element analysis of laminated bimodulus composite thin shells of revolution using a 48 d.o.f. doubly curved quadrilateral finite element. All the three displacements of the shell element reference surface are expressed as products of one-dimensional first-order Hermite interpolation polynomials. The constitutive relationship for a bimodulus composite is assumed to depend on the fibre-direction strain experienced by each orthotropic layer. Consequently the true state of strain and the corresponding constitutive relationship in a bimodulus composite structure are to be determined iteratively. The true state of stress/strain is obtained by specifying a maximum error in the locations of the two neutral surfaces (one along each of the orthogonal reference axes) in the shell. The use of the quadrilateral shell finite element is validated by solving the problem of (i) a freely supported single layer (0°) bimodulus composite square plate and (ii) a freely supported single layer (0°) cylindrical panel, which are subjected to sinusoidal transverse loading and for which analytical solutions are available. Next, the problems of a single layer (90°) pinched cylindrical shell and a single layer (0°) open crown hemispherical shell are solved to show the ability of the present program.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 329-347 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Recently developed solid modelling systems for the design of complex physical solids using interactive computer graphics offer the exciting possibility of an integrated design/analysis system. Called geometric modellers, these systems build complex solids from primitive solids (cubes, cylinders, spheres, solid patches, etc.) and macro solids (combination of primitives)3, 4, 8, 16, 18, 25, 38. To provide an effective structural analysis capability for these systems, methods must be devised to ease the burden of discretizing the solid geometry into a user controlled (usually locally graded) finite element mesh. The purpose of this paper is to describe an interactive solid mesh generation system capable of generating valid meshes of well-proportional tetrahedral finite elements for the decomposition of multiply connected solid structures. The system uses a semi-automatic node insertion procedure to locate element node points within and on the surface of a structure. An independent automatic three-dimensional triangulator then accepts these nodes as input and connects them to form a valid finite element mesh oftetrahedral elements. Although this report makes use of a modeller based on a constructive solid geometry representation (a so-called CSG modeller), the mesh generation strategy elaborated herein is completely general and makes no particular use of the CSG representation.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 465-479 
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    Keywords: Engineering ; Engineering General
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    Notes: A matrix derivation of the method of partial decomposition for substructure equilibrium equations is given and algorithms and subroutines necessary for implementing a multi-level substructuring scheme are presented. The algorithms are based upon partial decomposition of skyline matrices by the Cholesky method. Transformation of co-ordinates and prediction of the skyline for higher level substructures are also discussed.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 509-528 
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    Keywords: Engineering ; Engineering General
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    Notes: The use of a complete and nonsingular set of Trefftz functions in the solution of quasi-harmonic equations is demonstrated and shown to be often superior to the more conventional singularity distribution in boundary-type approximation. Procedures for coupling separate domains of such solution and indeed of deriving equivalent finite elements are demonstrated.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 579-582 
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 601-616 
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    Notes: The displacement of a slightly compressible liquid by another in a porous medium has been modelled. This problem, which involves a moving boundary, has been numerically solved for the one-dimensional case by using the Galerkin method. State and parameter estimation have been carried out using the extended Kalman filter.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 853-881 
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    Notes: Two methods are compared for integrating the strains that can arise in finite element solutions for Eulerian velocity fields associated with large strain material forming processes. With the Galerkin formulation, partial differential equations for the deformation gradient are solved over the entire domain based on a weighted residual; with the streamline integrated technique, the corresponding ordinary differential equations are integrated along characteristic lines. Both methods have yielded accurate integrations for the radial flow and planar rolling problems studied. A finite element technique is also presented for ensuring that the free surfaces of the fluid flow are streamlines. This technique has been used for ensuring proper boundary conditions in the rolling analysis.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 691-711 
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    Keywords: Engineering ; Engineering General
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    Notes: In a solar energy application involving thermal storage, one of the heat transfer situations is that of combined convection in vertical annuli for rather complex wall thermal boundary conditions. Predictive data of a high order of reliability are needed for incorporation within the suite of programs treating the whole problem.The program reported here treats the complete equations for combined free and forced convection in a vertical annulus. It allows for viscosity and density variation with temperature, and a variable heat flux or temperature at the walls. It was developed from a similar program for circular tubes.Comparisons are made with published data for velocity profiles and heat transfer performance. These are good, and show the step-wise energy balance method is necessary and valid.The strategy of generation of the required data is explained, together with sample output. These data are themselves analysed computationally; the performance equations agree with original predictions typically to within ± 11 per cent, with a standard deviation of around 2 per cent.The working fluid is water with 37 per cent ethylene glycol. Upward heated and downward cooled flows give aided combined convection. For the given design, laminar flow is predicted for the Reynolds number range 1800-2200.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 775-776 
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 763-774 
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    Notes: We derive a closed-form expression for the change in the variational indicator of a finite element mesh with respect to perturbations in nodal point co-ordinates. The expression is evaluated very effectively from standard finite element data obtained in one solution, and may be easily programmed as part of a general finite element code. We present the derivation for two- and three-dimensional isoparametric elements used in linear and nonlincar elasticity. The expression has practical applications in the computation of stress intensity factors in fracture mechanics and in the determination of the ‘optimal’ mesh with a given element-node connectivity. We demonstrate both applications by accurately determining the stress intensity factor of a Mode I crack using a finite element mesh which was improved using mesh optimization.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 825-835 
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    Notes: Many plane stress finite elements which can exactly represent rigid-body and constant-strain modes are too stiff in their response to the simple flexural action of a beam. This problem has received considerable interest. In this paper we explore a new interpretation of the problem and show that the poor bending response of the original 4-node plane stress quadrilateral can be quantitatively predicted by an error model.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 883-898 
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    Notes: The numerical solution of two-dimensional, transient, incompressible Navier-Stokes problems is considered. The dual variable method, originally developed in the context of a finite difference discretization, is a technique to considerably reduce the size of the linear system to be solved at each time step. The steps involved in the method are (1) the determination of the rank of the discrete divergence operator, A, (2) the determination of a basis for the null space of A, N(A), and (3) the calculation of a particular solution of the discrete continuity equation.A finite element implementation of the method is presented using quadrilateral piecewise bilinear velocity/constant pressure elements. Algorithms for the determination of a basis for N(A) and a particular solution are presented. Numerical comparisons of primitive versus dual variable formulations on several problems demonstrate the advantage of the dual variable method, in terms of both execution speed and memory requirements.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 959-965 
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    Notes: The ability of the collapsed Q-8 finite element to model strain singularities is studied in this paper. It is shown that its ability to model an r-1 singularity in strains depends strongly on the element size and number of Gauss points used for sampling stresses inside an element.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1001-1012 
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    Notes: Conventional error analyses norms in the finite element method are based on the percentage error or its equivalent in some computed value as compared to the theoretically predicted value. In problems where two or more field variables are coupled, it is possible that if the field interpolation functions do not ‘consistently’ reproduce limiting situations of physical behaviour, there may be very large errors which are exaggerated enormously when some structural parameters become indefinitely large in a penalty limiting sense. The percentage error norms therefore saturate quickly to a value approaching 100 per cent and do not sensibly reflect the relationship between error and the structural parameter, even on a logarithmic plot.Errors due to these spurious constraints have recently been recognized as belonging to a special class described as ‘errors of the second kind’. A new error norm, called the additional stiffening parameter, helps to recognize the manner in which errors of the second kind can be blown out, of propprtion by a large variation in some structural parameter. Recent investigations in some multi-field problems are summarized here to demonstrate the usefulness of this concept.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1039-1048 
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    Notes: A new hourglassing control technique for quadrilateral and hexahedral elements used in dynamic finite element codes is presented. Based on expansion of the strees in a Taylor series and retention of additional terms beyond the usual constant stress term, this technique has the advantage that actual rather than artificial material properties are used. Simplifications that render this technique competitive with artificial viscosity and stiffness procedures in terms of additional storage and computation requirements are described.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1049-1066 
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    Notes: A structure is defined by a set of governing points. These points can be used to define lines, surfaces and solids. A governing point can be connected to a design variable. The values of the design variables are determined in order to minimize the weight of the structure subject to a number of stress constraints. Three simple structures are then designed.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1149-1156 
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    Notes: A simple shear flexible triangular plate/shell element with three/five displacement degrees-of-freedom at the three corner nodes only, is identified. It does not lock or have zero-energy mechanisms. The specific geometrical configurations in which this is possible are derived through field consistency patch tests.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1157-1164 
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    Notes: In problems of structure interaction with infinite surrounding of incompressible, inviscid fluid media, added mass matrices on wet surfaces have been considered for modelling the effects of outgoing waves. For an arbitrary geometry of the wet surface, an expression for the added mass matrix is derived according to a finite element procedure which utilizes the force-displacement relations of representative elements on the boundary. In the element mass matrix a certain symmetry, which characterizes interactions between the interior and exterior surfaces, helps reduce the quadratic matrix equation of the cloning algorithm to a linear eigenvalue problem. A benchmark example is included to establish the numerical accuracy of the proposed formulation.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1168-1169 
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1171-1185 
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    Notes: A method for determining the optimum step-size in numerical differentiation of a tabulated function is described. In test cases it gives an average error of about four times the error in the data; thus, it is more than twice as accurate as previously published methods. A Fortran program is presented.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1289-1293 
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    Notes: The stiffness matrix for the DKT plate-bending element is formulated explicitly in a global co-ordinate system. This approach avoids transformations of stiffness, and elasticity properties for anisotropic materials, from local to global co-ordinates, which were required in previous formulations. A FORTRAN listing of the algorithm is appended for potential users.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1315-1338 
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    Notes: We present the results of a numerical study of the preconditioned conjugate gradient algorithm, the minimal residual algorithm, the biconjugate gradient algorithm and the bi-minimal residual algorithm using both simple test matrices and more realistic test matrices derived from physical problems. The application of the methods to unsymmetric matrices is considered. We emphasize the importance of a good preconditioning, look at various methods including ICGG(n) and incomplete block factorization, and make some practical recommendations. Some of the folk-lore surrounding the semi-iterative methods is dispelled.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1363-1364 
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1269-1281 
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    Notes: Finite elements with ‘Special’ basis functions have been proposed to develop better approximations for problems where the behaviour is known to be non-polynomial. This paper discusses extension of Gaussian quadrature integration procedures of non-conventional form to the evaluation of the finite element matrices for ‘Special’ elements. Algorithms for general ‘Special’ elements are discussed. The techniques are applied to ‘Special’ one- and two-dimensional elements for spherically symmetric potential flow. The accuracy of the new ‘Special’ element is shown to be superior to linear and quadratic elements for spherically symmetric potential flow problems.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1339-1344 
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    Notes: This paper shows that the elasto-viscoplastic model, presented the first time in1, enables to take an isotropic and kinematic hardening law into account easily and gives an economical and accurate solution to cyclic plasticity problems.
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    International Journal for Numerical Methods in Engineering 21 (1985) 
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1361-1362 
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1345-1359 
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    Notes: Introduced herein is a generalization of Newmark's time marching integration scheme, called the β-m method. Like the SSpj method (introduced in Parts 1 and 2 of this series), the β-m method provides a gcneral single-step scheme applicable to any set of initial value problems. The method is specialized by specifying the method order m along with rn integration parameters, β0, β1, …, βm-1. For a particular choice of m, the integration parameters provide a subfamily of methods which control accuracy and stability, as well as offering options for explicit or implicit algorithms. For the most part, attention is focused on the application to structural dynamic equations. Most well-known methods (e.g. Newmark, Wilson, Houbolt, etc.) are shown to be special cases within the β-m family. Hence, one computationally efficient and surprisingly simple algorithm unifies old and new methods. Stability and accuracy analyses are presented for method orders m = 2, 3 and 4 to determine optimal parameters for implicit and explicit schemes, along with numerical verification.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1381-1390 
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    Notes: A numerical scheme has been constructed to simulate the imposition of a step in heat transfer at the surface of a multi-layered substrate. The numerical simulation of this process is carried out by applying an extended version of the Keller Box-Scheme to multi-layered diffusion problems. Numerical calculations show that accurate choice of length and time-scales is critical in determining the behaviour of the heat flow through the substrate. Thus, the results from the numerical simulations are of value to the experimentalist, particularly in determining the accurate shape of the response curves which enable experimental apparatus to be designed effectively. The proposed scheme yields heat fluxes as accurately as temperatures, and can be easily adapted to other related applications.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1601-1623 
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    Notes: Various mathematical programming methods for structural optimization are studied. In a companion paper, these methods have been studied based on certain theoretical considerations. In this paper, the methods are studied based on solving a set of test problems. The methods that are studied include recursive QP, feasible directions, gradient projection, SUMT and multiplier methods. Various computer codes have been developed, and are studied together with some existing programs such as CONMIN and OPTDYN. The test problems considered have 3-47 design variables and 3-252 constraints. The evaluation criteria consist of studying the accuracy, reliability and efficiency of a code. It turns out that globally convergent algorithms (multiplier methods, in particular) are very reliable but not efficient. Primal algorithms (like CONMIN), which are not proved to be globally convergent, are efficient but not reliable.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1671-1680 
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    Notes: A one-dimensional exterior electromagnetic scattering problem is formulated using a differential equation approach followed by a finite element discretization. By interpreting the resulting linear algebraic equations as node voltage equations for a transmission line, a boundary element is obtained which satisfies the requirement of no wave reflection at the edge of the finite element region. Numerical results which show the elimination of non-physical standing waves from the scattered field are presented and discussed.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1521-1533 
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    Notes: A simple and logical finite element formulation is presented for the analysis of rings and sectors, with Timoshenko effects. The elemental properties are derived from the governing differential equation of motion using the Galerkin method. A quintic polynomial, satisfying the compatibility of derivatives up to second order, has been used for the ring finite element. The interpolating function is the same as for a thin ring. The efficiency of the formulation has been illustrated by the numerical results presented.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1547-1553 
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    Notes: For about a decade, each and every researcher who used isoparametric quadratic elements to solve fracture mechanics problems employed only incomplete versions of these elements. Although complete formulations of isoparametric elements are almost as available as incomplete ones in general-purpose finite element computer programs, no attempt to use complete formulations has been seen yet. The purpose of this paper is to show how the complete quadratic isoparametric elements can be employed in the field of fracture mechanics.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 1641-1657 
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    Notes: This paper presents a method of analysing the distribution of a two-dimensional electromagnetic field in a conducting medium of known cross-section carrying sinusoidal current and of unknown numerical values of boundary conditions on conductors surfaces. The method combines the finite element and separation of variables methods. An example is given of application of the method to calculation of impedance and electrodynamic forces of two thick, full and round conductors carrying oppositely directed sinusoidal currents. On the basis of numerical computation, graphs of resistance, reactance and electrodynamic forces are plotted.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 11-16 
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    Keywords: Engineering ; Engineering General
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    Notes: A somewhat unconventional, yet simple, derivation of the assumed stress hybrid formulation is presented in which its relationship with displacement and stress-based finite element models is demonstrated. This gives insight into the hybrid method and shows that it represents a least energy fit of an equilibrium stress field to a displacement model strain field. By this means the attributes of both fields may be exploited in extending the analysis scope of hybrid models.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 73-92 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new nine node degenerated shell element is presented in this paper. In the formulation of the new element, an enhanced interpolation of the transverse shear strains in the natural co-ordinate system is used to overcome the shear locking problem, and an enhanced interpolation of the membrane strains in the local Cartesian co-ordinate system is applied to avoid membrane locking behaviour. It is shown that the resulting element has the requisite number of zero eigenvalues and associated rigid body modes. The element does not exhibit membrane or shear locking for large span/thickness ratios. To illustrate the good performance of the new element some examples are presented including comparisons with the behaviour of the selectively integrated Lagrangian degenerated shell elements.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 117-132 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The debate on the performance of Lagrangian and Serendipity elements in Mindlin's plate theory has been going on for quite some time. Limited published results for static and vibration analysis based on exact integration demonstrated a drastic deterioration in accuracy as the thickness of the plate decreases, and reduced/selective integration schemes have been suggested to improve their performance. Appreciable improvement for Lagrangian elements has been recorded, but it is only marginal for the Serendipity elements. On the strength of such observations one would then be tempted to rule out the exact integration schemes and Serendipity elements.In this paper, the above problem is reviewed for stability analysis of plates. Two elements are chosen from each family, one representing the higher order and the other the lower order element. Contrary to published results, all elements can attain very accurate solutions independent of the integration schemes for a sufficiently restrained plate, although in general the Serendipity elements will require a more refined mesh than the Lagrangian ones. However, for loosely restrained plates, the solution failed when integration is performed by reduced/selective schemes. The failure marks the limitation of the reduced/selective schemes which have somehow introduced spurious modes into the system, but on the other hand it is ironical that these spurious modes in fact contribute to the improvement of performance of the restrained cases. Therefore, one can equally improve the Serendipity elements by a selective scheme which can introduce additional zero modes. A scheme based on (5 × 5) integration points for flexural stiffness and (3 × 3) integration points for shear stiffness improved the 17SE (Serendipity elements) remarkably. However, because of the lack of bounds in most cases, the use of reduced/selected schemes is still not recommended. Finally, this paper also proposed an approximate formulation of the geometric stiffness matrices to replace the full formulation. Such an approximate formulation reduces the number of variables considerably in the eigenvalue search and can still give reasonably accurate results for thin plates with a/t 〉 15.
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  • 88
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 189-208 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper considers a layered thick shell finite element procedure for determining the dynamic transient nonlinear response of plates and shells. The degenerated three-dimensional isoparametric shell element with independent rotational and translational degrees-of-freedom is employed and a layered formulation is adopted to represent the steel reinforcement and to simulate progressive concrete cracking through the thickness. The dynamic yielding function is assumed to be a function of the current strain rate, in addition to being total plastic strain or work dependent. The concrete model also simulates both compressive crushing and tensile cracking behaviours and an implicit Newmark algorithm is employed for time integration of the equations of motion. Several numerical examples are presented for both slab and shell structures and the results obtained compared with those from other sources wherever available.
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  • 89
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 241-248 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Superproblems in finite elements require either general-purpose or special-purpose computing machines whose capabilities are very much greater than those currently existing. The advantage of the latter type of machine is that it can be highly optimized for the particular class of problem for which it is designed and can, in principle, for a given generation of hardware, be designed to operate at a higher speed than a corresponding general-purpose computer. The Parallel Finite Element Machine (PARFEM) investigated at the University of Calgary has an architecture based on the finite element computational algorithms and employs a combination of parallel and vector processing. The overall architecture and program structure is described and the major design considerations outlined.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. i 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 377-394 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An inverse inviscid-boundary-layer interaction scheme is presented for the optimal design of axisymmetric ducts for subsonic, rotational flows. Distribution of the shape factor H on the duct wall, giving minimum total pressure loss and maximum static pressure rise, is used as boundary condition for the inverse integral boundary-layer solution, to obtain the velocity and displacement thickness distributions on the wall. Vector addition of the inviscid core radius, derived from the solution of the inverse inviscid flow equations, and the displacement thickness produces the desired duct shape.
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  • 92
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 451-463 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 497-519 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper summarizes preliminary work on crash analysis25-27 performed on an extended finite element model as provided by the nonlinear LARSTRAN program package at ICA. The essential methodology is evolved along the natural finite element approach. Also overviewed are solution techniques for the nonlinear equations of motion. The application of a simple folding mechanism is indicated and crashworthiness computations of car structures are described.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 547-574 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We present in this paper a general formulation for shallow water equations which is capable of solving problems of induced harbour oscillation, tidal flow, tsunami propagation, dispersion of pollutant, etc.The shallow water equations are written in a novel fully conservative form. The solution algorithm is based on an explicit time integration procedure which exploits the conservative properties of the governing equations and incorporates accurate treatment of convective terms without introduction of artificial damping. Its accuracy and low cost of computation make it attractive vis-à-vis existing procedures.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 623-635 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: First, the three-dimensional elasto-plastic analyses of 1CT and 18 mm thick CCT specimens are carried out by using the finite element method, and the thickness effects of both specimens are studied. In elastic states, there is no significant difference between the CT and CCT specimen in the distribution of the J-integral along the straight or curved crack front. However, in elasto-plastic states, quite the contrary tendency is obtained in the distributions of J x and COD along the curved crack front for both specimens. Secondly, elasto-plastic analyses are carried out for CCT specimens of four kinds of thickness (B = 200, 18, 6 and 4 mm). The distributions of the J-integral along the crack front are obtained and compared. Finally, the availability of the JR value is examined, which is evaluated from the load versus displacement curve by using Rice's formula.
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    International Journal for Numerical Methods in Engineering 21 (1985), S. 2306-2307 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 39-62 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper discusses various forms of the Irons patch test and shows again that its satisfaction is a necessary convergence condition being equivalent to consistency, Further, it is shown that the test can be applied for verification of stability requirements, thus providing also a sufficient condition of convergence. The patch test is useful in testing the order of asymptotic convergence and the satisfaction of the test gives a guide for development of certain incompatible element forms.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 93-115 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In his delightful and original textbook,18 Bruce Irons introduces the chapter of plate bending with the remark ‘History of disasters, but the pioneering days are past’. This is certainly true. On the other hand, we learn in the same context from Irons: ‘We believe that the world has not yet exhausted the older formulations.’ In this paper we present a review of theoretical aspects of the plate-bending triangle TRUNC (Reference 4), together with extensive tests in linear statics, dynamics, buckling and nonlinear large deformations both for plates and shells. The unconventional TRUNC model is based on the patch test, which was originated by Irons.1 In spite of its limited theoretical foundation, the performance of this element on a fairly broad field of applications appears at least from the practical point of view very satisfactory.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 173-181 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An examination of the variational formulations confirms the similarity between the incompatible displacement model and the assumed stress hybrid model that was pointed out by Irons in 1972. But the basic differences between the two are also identified. For 8-node solid elements the assumed stress terms obtained through a rational procedure also agree with those deduced by Irons purely from his physical insight.
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    International Journal for Numerical Methods in Engineering 22 (1986), S. 209-218 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The efficiency of iterative methods in linear structural mechanics is studied. The efficiency concerns the calculation time, the numerical accuracy and the core storage needed. We state that iterative methods are effective in connection with hierarchical improvement of a primary approximation. Three iterative methods are studied: the conjugate gradient method preconditioned by a modified incomplete factorization matrix, the same method preconditioned by a matrix obtained from natural factors on elemental level, and a Jacobi integration preconditioned by viscous relaxation split in an element-by-element way. We make comparisons with direct methods, Gaussian elimination and factorization by use of natural factors.
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