Journal ArticleDOI
On discontinuous plastic states, with special reference to localized necking in thin sheets
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In this article, the authors investigated the permitted discontinuities of stress, velocity, and surface slope in a plastic-rigid sheet deformed in its plane, and the necessary restrictions on the stress-state and rate of workhardening were obtained for any yield function and plastic potential.Abstract:
Permissible discontinuities of stress, velocity, and surface slope are investigated in a plastic-rigid sheet deformed in its plane. One such discontinuity of velocity is shown to be the mathematical idealization of localized necking; the necessary restrictions on the stress-state and rate of workhardening are obtained for any yield function and plastic potential. The results are illustrated by an examination of the modes of necking in notched tension strips. The constraint factors at the yield point are obtained for notches with wedge-shaped or circular roots.read more
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The influence of specimen geometry on the Portevin-Le Chatelier effect in an AlMg alloy
J.M. Robinson,M.P. Shaw +1 more
TL;DR: In this paper, the nature of stress-strain discontinuities and surface deformation markings, in an aluminium-magnesium alloy known to exhibit serrated flow associated with dynamic strain ageing (DSA), has been investigated as a function of specimen geometry during tensile deformation.
Journal ArticleDOI
Necking in rectangular tensile bars approximated by a 2-D gradient dependent plasticity model
TL;DR: In this paper, an enhanced 2-D plane stress finite element model, where the thickness effect is taken into account by an incorporated length scale, is incorporated in the continuum description by a finite strain version of a gradient dependent J 2 -flow theory.
Journal ArticleDOI
Validation of metal plasticity and fracture models through numerical simulation of high velocity perforation
TL;DR: In this article, a new set of experiments with circular 2024-T3(51) aluminum alloy plates and AISI 52100 alloy steel spheres was conducted in order to augment available in literature experimental data and to form more precise reference solution for the benchmark problem.
Journal Article
Instabilités de déformation pendant l'étirage des polymères solides
TL;DR: Caracteres specifiques de la structure and des proprietes de polymeres solides. Manifestations de l'instabilite plastique dans les polymere en traction as discussed by the authors.
Journal ArticleDOI
Effect of temperature on fracture toughness of an amorphous poly(ether-ether ketone) film using essential work of fracture analysis
TL;DR: In this article, the effect of temperature on plane-stress ductile fracture of an amorphous poly(ether-ether ketone) (PEEK) film of thickness 0.125 mm was studied between 23 and 140 °C using double edge notched tension (DENT) specimens.
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
XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.
J.F.W. Bishop,Rodney Hill +1 more
TL;DR: 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.
Journal ArticleDOI
CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal
J.F.W. Bishop,Rodney Hill +1 more
TL;DR: In this paper, it was shown that the work-hardness of an isotropic aggregate of face-centred cubic crystals is a function only of the total plastic work if the grains hardened equally.
Journal ArticleDOI
Extended limit design theorems for continuous media
TL;DR: In this paper, the safe loads for a Prandtl-Reuss material subject to surface tractions or displacements which increase in ratio are extended to any perfectly plastic material and any history of loading.