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  • 1
    ISSN: 1520-4804
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1520-4804
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 28 (1989), S. 414-416 
    ISSN: 1435-1528
    Keywords: Complex modulus ; viscoelastic layer ; contact problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract A simple, non-destructive method of measuring the complex modulus of a layer of viscoelastic material is proposed. The method relies upon an analysis of the frictionless contact of a rigid smooth indentor and the layer. The contact is maintained by means of a fluctuating normal load. The total load (or the indentation) is required to vary in a simple sinusoidal way. The complex modulus may then be determined from the results of observations made when the contact area is maximum (or minimum).
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 22 (1971), S. 307-319 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Zusammenfassung In der Theorie endlicher Deformationen elastischer Festkörper sind jene Probleme, für die exakte Lösungen verfügbar sind, beschränkt auf Körper, deren gespannte und entspannte Zustände durch Koordinatenflächen eines der bekannten und allgemein verwendeten Koordinatensysteme begrenzt sind, und die daher symmetrische Eigenschaften in hohem Grade besitzen. Diese Abhandlung entwickelt eine Methode, mit deren Hilfe man Lösungen für endliiche Deformationen erhalten kann, und zwar für Körper, deren nichtdeformierte Form eine Perturbation der nichtdeformierten Form eines anderen Körpers ist, für den eine endliche Deformationslösung schon verfügbar ist. Diese Methode wird verwendet zur Bestimmung einer Lösung zu dem Problem der endlichen Streckung und Torsion eines elliptischen Zylinders, dessen Verhältnis von Hauptachse zu Nebenachse nahezu eins ist. Im Weiteren erleichtert diese Methode eine Analyse des Problems einer endlichen Ausdehnung für zwei Fälle achsensymmetrischer Körper: 1. Der Körper ist ein Kreiszylinder in allen Punkten ausserhalb eines Streifens endlicher Länge, wo seine nichtdeformierte Form eine Perturbation des Kreiszylinders ist. 2. Der Körper wird erhalten durch Rotation einer Sinuskurve um die Symmetrieachse.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 22 (1971), S. 806-806 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Contributions to mineralogy and petrology 125 (1996), S. 100-111 
    ISSN: 1432-0967
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract  Equilibration between melt and solid is inhibited by rapid melt extraction and by restricted equilibration (armouring, slow dissolution). When segregation occurs by channelised migration along high-porosity pathways, melt migration is more rapid than trace element diffusion rates in silicates and faster than accessory phase dissolution rates. Evidence for channelised flow and deformation-enhanced melt segregation into boudin necks, fractures and micro-shears at low melt fractions is present in the Moine Kirtomy Migmatitie Suite (KMS) in Sutherland, Scotland. Melt migration distances are on a metre to tens of metres scale. Concordant leucosomes in stromatic migmatities in the KMS have low Zr contents, low LREE (light rare-earth element) and H (heavy) REE contents and positive Eu anomalies. REE patterns of this type can be produced by removal of leucosome before complete equilibration with source due to the inhibited dissolution of LREE- and HREE-bearing accessory phases in water-undersaturated melts. Melting in the KMS, however, occurred at or near the wet granite solidus, leaving biotite as a residual phase. Detailed back-scattered electron imaging shows that REE-bearing accessory phases remained as residual phases, and were concentrated in the melanosome and at the melanosome-leucosome boundary. Irregularly shaped patches of diatexite contain a small proportion of excess Zr, consistent with entrainment of melanosome-schlieren enriched in zircon. These data indicate that deformation-enhanced melt extraction led to the rapid migration of small melt fractions from the melting site on a time-scale less than that required to saturate the melt in Zr. Leucosomes were thus prevented from equilibrating with accessory phases before extraction.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of environmental contamination and toxicology 36 (1986), S. 186-191 
    ISSN: 1432-0800
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Medicine
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 14 (1978), S. 639-649 
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Résumé Bien davantage encore que les problèmes élastiques qui sont leur contre-partie, les problèmes associés à la physique réaliste des corps viscoélastiques fissurés sont sujets à des difficultés résultant du fait que les fissures peuvent s'étendre en fonction du temps et que les conditions aux frontières peuvent n'être définitivement connues avant la solution du problème. Nous avons considéré un problème d'une fissure simple de Griffith dans un corps viscoélastique infini sous l'influence de tensions normales prescrites agissant à l'infini, normalement au plan de la fissure. Si à quelque instant, la fissure n'est pas entièrement ouverte ni entièrement fermée, on suppose qu'elle s'ouvre sur un intervalle symétrique de rayon b(t) autour de son centre et qu'elle se ferme sur une région annulaire entourant cet intervalle symétrique. Dès lors, si la fissure est supposée être strictement en cours d'extension chaque fois qu'elle est entièrement ouverte, on montre (en utilisant la condition physique que les contraintes doivent être finies partout à l'exception du sommet de la fissure), que la fissure est toujours soit entièrement ouverte soit entièrement fermée. On présente également les formules et d'autres informations sur les contraintes et les déplacements dans le corps et on effectue une comparaison avec le cas d'une fissure présentant une longueur constante.
    Notes: Abstract To a degree greater than their elastic counterparts, physically realistic problems for cracked viscoelastic bodies are subject to difficulties arising from the facts that cracks may extend with time and that boundary conditions may not be definitely known until the problem is solved. We have considered a problem for a single Griffith crack in an infinite viscoelastic body that is under the influence of prescribed normal stress acting at infinity normal to the plane of the crack. If, at some instant of time, the crack is not entirely open or entirely closed it is assumed to be open on a symmetric interval of radius b(t) about its center and closed in an annular region surrounding that symmetric interval. Then if the crack is assumed to be strictly extending whenever it is entirely open, it is shown (by using the physical condition that the stresses should be finite except at the crack end) to be always either entirely open or entirely closed. Also, formulae and other information on the stresses and displacements in the body are presented and comparison is made with the case of a crack of constant length.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of elasticity 11 (1981), S. 33-42 
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The boundary value problem that arises when a mechanically rough rigid punch of arbitrary axisymmetric profile is pressed against the surface of a linear aging viscoelastic half space and is also made to rotate about its axis, so that there is total slip between the contacting surfaces is analysed and solved. The moment required to make the punch rotate, on the assumption that the coefficient of friction obeys a power law or is a constant, and the total normal pressure acting on the punch may each be evaluated in terms of the history of the radius of the contact area. Application is made to the special cases where the punch has the form of (i) a cone, (ii) a paraboloid of revolution and (iii) a flat ended cylinder. Apart from case (iii) where the contract area is constant we can only find an explicit expression for the moment in terms of total pressure so long as the contact area is increasing. The case of constant total pressure and Maxwell viscoelastic material is examined in more detail.
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  • 10
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Ein homogenes, isotrop linear viskoelastisches Material, dessen beim Schub erzeugte Relaxationsfunktion ein konstantes Vielfaches seiner, bei isotroper Kompression erzeugten Relaxations-funktion ist, nimmt einen Bereich ein, der sich mit der Zeit nicht ändert. Es wird gezeigt: Wenn alle Bereiche, wo Spannungs-(Verschiebungs-)Randbedingungen vorgeschrieben sind, in der gesamten Zeit entweder monoton wachsen oder monoton abnehmen, dann kann die Lösung eines viskoelastischen Problems zurückgeführt werden auf die Lösung einer einparametrigen Schar adjungierter Elastizitäts-probleme. Dieses Ergebnis wird dann verallgemeinert, um ein Bindeglied zu geben zwischen der Lösung von Randwertproblemen bestimmter, anisotrop und inhomogen viskoelastischer Körper mit einer Relaxationsfunktion und der Lösung von Randwertproblemen anisotrop und inhomogen elastischer Körper. Das Ergebnis wird verwendet beim Ableiten von Lösungen für das Problem eines münzenförmigen Risses in einem unendlichen, viskoelastischen Körper; die Lösungen gelten für wachsende und abnehmende Rißdurchmesser.
    Notes: Summary A homogeneous and isotropic linear viscoelastic material, whose relaxation function in shear is a constant multiple of its relaxation function in isotropic compression, occupies a region which does not change with time. It is shown that, if all the regions where stress (displacement) boundary conditions are prescribed are either monotone increasing or monotone decreasing for all time, the solution of a viscoelastic problem may be reduced to the solution of a one-parameter family of adjunct elastic problems. This result is generalized to give a tie between the solution of boundary value problems for certain anisotropic and inhomogeneous viscoelastic bodies, with one relaxation function, and solutions of anisotropic, inhomogeneous elastic boundary value problems. The result is used to derive solutions to the problem of a penny-shaped crack, in an infinite viscoelastic body, which are valid for both increasing and decreasing crack diameter.
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