Journal ArticleDOI
XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.
J.F.W. Bishop,Rodney Hill +1 more
TLDR
In this paper, a general relationship between stress and plastic strain in polycrystalline aggregate is derived for any metal in which individual crystals deform by slipping over preferred planes under a critical shear stress.Abstract:
Summary A general relationship between stress and plastic strain in a polycrystalline aggregate is derived for any metal in which individual crystals deform by slipping over preferred planes under a critical shear stress. Full account is taken of the non-uniform distortion due to mutual constraints between the grains of an aggregate. It is shown that a plastic potential exists which is identical with the yield function. Upper and lower bounds are obtained for an approximate calculation of this function for any applied system of combined stresses.read more
Citations
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Journal ArticleDOI
The Elastic Behaviour of a Crystalline Aggregate
TL;DR: The connection between the elastic behavior of an aggregate and a single crystal is considered in this article, with special reference to the theories of Voigt, Reuss, and Huber and Schmid.
Book
Mechanical properties of solid polymers
TL;DR: A concise, self-contained introduction to solid polymers, the mechanics of their behavior and molecular and structural interpretations can be found in this article, which provides extended coverage of recent developments in rubber elasticity, relaxation transitions, non-linear viscoelastic behavior, anisotropic mechanical behavior, yield behavior of polymers and other fields.
Journal ArticleDOI
Influence of voids on shear band instabilities under plane strain conditions
TL;DR: In this paper, the effect of microscopic voids on the failure mechanism of a ductile material is investigated by considering an elastic-plastic medium containing a boubly periodic array of circular cylindrical voids.
Journal ArticleDOI
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals : application to zirconium alloys
TL;DR: In this paper, a visco-plastic self-consistent (VPSC) anisotropic approach for modeling the plastic deformation of polycrystals, together with a thorough discussion of the assumptions involved and the range of application of such approach is presented.
Journal ArticleDOI
Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
TL;DR: In this article, the theoretical foundations of constitutive relations at finite strain for a class of solids exhibiting inelasticity as a consequence of specific structural rearrangements, on the microscale, of constituent elements of material.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
Bakerian Lecture. The Distortion of an Aluminium Crystal during a Tensile Test
TL;DR: The work described in the following pages was inspired by a paper in which Prof. Carpenter and Miss Elam described the result of applying tensile tests to specimens of aluminium which had been treated in such a way that they appeared to turn into single crystals as discussed by the authors.
Journal ArticleDOI
XCVII. Deformation textures in face-centred cubic metals
E.A. Calnan B.Sc.,C.J.B. Clews +1 more
Journal ArticleDOI
Vorgänge bei der Dehnung von Zinkkristallen
Journal ArticleDOI
Zug-Druckversuche an Messingkristallen (Bauschingereffekt)
TL;DR: Unsymmetrie der Verfestigung durch bleibende Verformungen (Bauschingereffekt) and Beseitigung der Unsymmeto durch Anlassen as discussed by the authors.