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  • Articles  (39)
  • oxidation  (25)
  • nonlinear programming  (14)
  • Springer  (39)
  • 1975-1979  (39)
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  • Articles  (39)
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  • Springer  (39)
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  • 1
    Electronic Resource
    Electronic Resource
    The oxidation and decarburizing of Fe-C alloys in air and the influence of relative humidity (1975)
    Springer
    Oxidation of metals 9 (1975), S. 69-97 
    Details
    ISSN: 1573-4889
    Keywords: oxidation ; decarburization ; Fe-C alloys ; effect of humidity ; effect of microstructure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Isothermal oxidation treatments were carried out on an Fe-C alloy (0.4 % C): (a) in almost dry air around A1, and also with an Fe-C alloy (0.5% C) and IRSID pure iron; (b) in dry air ( $${\text{P}}_{H_2 O} \simeq 10^{ - 5} $$ nm Hg); (c) in almost dry air(1–2% water vapor) at 700° C; and (d) in moist air (31% water vapor). Theresults are as follows: The rate of oxidation at a temperature below A1depends chiefly on alloy structure, i.e., on thermal history of the sample.The water vapor content of the air strongly influences the scale adherenceas well as the rate of oxidation of the Fe-C alloys below A1, but has virtuallyno effect on the rate of oxidation of pure iron. Under the same conditions, avery light decarburization of metal occurs in air, whereas no decarburizationoccurred in air with 13% water vapor.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00613495
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  • 2
    Electronic Resource
    Electronic Resource
    High-temperature oxidation kinetics of Cu-Si alloys containing up to 4.75 wt.% Si in $$p_{{\text{O}}_{\text{2}} } $$ =0.01 atm and pure CO2 (1978)
    Springer
    Oxidation of metals 12 (1978), S. 323-329 
    Details
    ISSN: 1573-4889
    Keywords: Cu-Si alloys ; oxidation ; kinetics ; silica
    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 Cu-Si alloys (containing up to 4.75 wt. % Si) in $${\text{p}}_{O_2 } $$ =0.01 atm from 800 to 1000°C has been investigated using thermogravimetry and other techniques. A 0.04% Si alloy followed a parabolic oxidation law with a rate similar to that of pure Cu. As the Si concentration increased the rate decreased and became irregular owing to SiO2 particles or flakes at the alloy-scale interface. It is considered that sintering of SiO2 particles and rupture of the sinter because of contraction during sintering are responsible for the irregular kinetics. A SiO2 layer forms directly on the 4.75% Si alloy which oxidizes uniformly. The SiO2 was always amorphous. In pure CO2 a similar pattern of amorphous SiO2 particles, flakes, and layers occurs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00603576
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  • 3
    Electronic Resource
    Electronic Resource
    Oxidation of Fe-C alloys at 700°C (1979)
    Springer
    Oxidation of metals 13 (1979), S. 255-272 
    Details
    ISSN: 1573-4889
    Keywords: oxidation ; Fe-C ; graphite deposition ; nonadherent oxide ; kinetics
    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 Fe-C alloys containing 0.5 and 1.0% C was studied in 1 atm O2 at 700° C. The oxidation rate is considerably slower than for pure Fe. The oxide scale formed is detached, multilayered, and overoxidized, containing little or no FeO. A thin film of graphite was identified at the metal-oxide interface by electron diffraction. It is proposed that the slow oxidation and abnormal scale are caused by a residue of graphite left at the metal surface from the oxidation of Fe3C. This inhibition of the oxidation of Fe by carbon at 700°C is in contrast to the stimulation observed at 500°C.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00603670
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  • 4
    Electronic Resource
    Electronic Resource
    Oxidation of Fe-C alloys at 500°C (1978)
    Springer
    Oxidation of metals 12 (1978), S. 67-82 
    Details
    ISSN: 1573-4889
    Keywords: oxidation ; Fe-C ; kinetics ; oxide grain size ; grain-boundary diffusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Fe-C alloys containing 0.1, 0.5, and 1.0% C were oxidized in 1 atm O2 at 500°C. Two specimen preparations were used: annealed followed by slow cooling to form coarse pearlite plus proeutectoid ferrite or cementite; and cold-worked by abrading after annealing. The cold-worked alloys oxidize more rapidly. Annealed pearlite oxidizes faster than annealed ferrite. The differences in oxidation rate are caused by differences in the Fe3O4 grain size, that is, by the number of oxide grain boundaries available to act as easy diffusion paths for the outward diffusion of Fe through the Fe3O4. The oxidation rate constant is 10 times larger for fine-grained poly crystalline oxide than for oxide in which the Fe3O4 is monocrystalline.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00609975
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  • 5
    Electronic Resource
    Electronic Resource
    Optimality conditions and constraint qualifications in Banach space (1975)
    Springer
    Journal of optimization theory and applications 15 (1975), S. 667-684 
    Details
    ISSN: 1573-2878
    Keywords: Necessary conditions ; mathematical programming ; Banach spaces ; optimization theorems ; nonlinear programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, necessary optimality conditions for nonlinear programs in Banach spaces and constraint qualifications for their applicability are considered. A new optimality condition is introduced, and a constraint qualification ensuring the validity of this condition is given. When the domain space is a reflexive space, it is shown that the qualification is the weakest possible. If a certain convexity assumption is made, then this optimality condition is shown to reduce to the well-known extension of the Kuhn-Tucker conditions to Banach spaces. In this case, the constraint qualification is weaker than those previously given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935506
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  • 6
    Electronic Resource
    Electronic Resource
    A computational study of methods for solving polynomial geometric programs (1976)
    Springer
    Journal of optimization theory and applications 19 (1976), S. 233-259 
    Details
    ISSN: 1573-2878
    Keywords: Geometric programming ; signomial functions ; computing methods ; nonlinear programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A computational comparison of several methods for dealing with polynomial geometric programs is presented. Specifically, we compare the complementary programs of Avriel and Williams (Ref. 1) with the reversed programs and the harmonic programs of Duffin and Peterson (Refs. 2, 3). These methods are used to generate a sequence of posynomial geometric programs which are solved using a dual algorithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934095
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  • 7
    Electronic Resource
    Electronic Resource
    Observations on the oxidation behavior of Ni-Cr alloys containing minor additions of group III, IV, or V elements (1976)
    Springer
    Oxidation of metals 10 (1976), S. 347-359 
    Details
    ISSN: 1573-4889
    Keywords: oxidation ; nickel-chromium alloys ; Group III–V elements ; reactive minor additions
    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 a number of experimental ternary Ni-15 wt. % Cr-0.5wt. %X alloys (where X= Y, La, Ce, Sm, Th, U, Zr, or V) has been assessed in pure oxygen at 900° C for periods of exposure up to 450 hr, and compared with the behavior of an Ni-15% Cr control alloy. It has been established that while all of the alloys oxidize in accordance with a protective, approximately parabolic regime, considerable differences in oxidation rates are exhibited. In particular, additions of La, Ce, and Th bring about progressively enhanced rates of oxidation relative to the binary alloy, whereas Y, Sm, V, U, and Zr effect increasingly reduced rates of oxidation in the order given. The rate constant for the Th-bearing alloy is about two orders of magnitude larger than that for the alloy containing Zr. Such differences in behavior seem to be associated with subtle variations in the morphology/composition of the corrosion products from alloy to alloy. The observations are considered in the light of earlier published literature concerning the effects of rare-earth and other reactive elements on the oxidation behavior of Ni/Cr alloys.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00612047
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  • 8
    Electronic Resource
    Electronic Resource
    Development, growth, and adhesion of Al2O3 on platinum-aluminum alloys (1976)
    Springer
    Oxidation of metals 10 (1976), S. 189-223 
    Details
    ISSN: 1573-4889
    Keywords: oxidation ; platinum ; platinum-aluminum alloys ; alumina (Al2O3) ; oxide-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 The development, growth, and adhesion of α-Al2O3 scales on platinum-aluminum alloys containing between 0.5 and 6 wt.% aluminum have been studied at temperatures in the interval between 1000 and 1450° C. The morphologies and microstructures of the α-Al2O3 scales were found to be influenced by the temperature, oxygen pressure, and the microstructures of the alloys. The oxidation rates of the alloys appeared to be controlled by transport of oxygen along grain boundaries in the α-Al2O3 scales. The α-Al2O3 scales adhered to the platinum-aluminum substrates even after extensive periods of cyclic oxidation. The good adhesion of the α-Al2O3 may result from mechanical keying of the oxide to the alloys due to the development of irregular oxide-alloy interfaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00612159
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  • 9
    Electronic Resource
    Electronic Resource
    The influence of platinum on the maintenance of α-Al2O3 as a protective scale (1976)
    Springer
    Oxidation of metals 10 (1976), S. 341-345 
    Details
    ISSN: 1573-4889
    Keywords: α-Al2O3 ; platinum ; oxidation ; adhesion
    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 externally located platinum on the isothermal stability of α-Al2O3 scales formed at high temperatures has been examined. It has been observed that a nickel-base alloy forms an external scale of α-Al2O3 during oxidation at 1200°C, but this scale breaks down isothermally, enabling a faster-growing Cr2O3-rich scale to develop. However, in the presence of platinum metal alongside the specimen in the furnace hot zone, the breakdown of the α-Al2O3 scale is postponed for a substantial period of time. It appears that platinum, as the volatile species PtO2, is incorporated into the growing α-Al2O3 scale where it either influences the stress relief mechanism at temperature or reduces oxidation growth stress generation and thus significantly enhances the isothermal stability of the scale.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00612031
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  • 10
    Electronic Resource
    Electronic Resource
    The diffusional growth of a scale with variable composition, diffusivity, and molar volume (1977)
    Springer
    Oxidation of metals 11 (1977), S. 57-62 
    Details
    ISSN: 1573-4889
    Keywords: oxidation ; scale growth
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Equations are presented to modify the classical theoretical expressions for the parabolic rate constant for the case in which the scale has a large composition range and a large variation in molar volume. The modifications appear as simple averages, together with a factor f.Evaluation of f for some hypothetical cases shows that it is near unity unless the composition gradient has an extreme deviation from linearity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00611602
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