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
Citations
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Determination of forming limit diageram using two modified finit element models
TL;DR: In this article, the authors used the theory of Marciniak-Kuczynski model in two different finite element models and using ABAQUS to predict local necking.
Journal ArticleDOI
A new method for determining the yield criterion and plastic potential of ductile metals
TL;DR: In this article, the use of obliquely notched or grooved strips to obtain a long narrow zone of distortion is suggested, where the relative displacement of the unstrained parts on either side of the distortion zone makes a certain angle with the axis.
Journal ArticleDOI
Determination of the fracture toughness of polybutylene terephthalate (PBT) film by the essential work method: Effect of specimen size and geometry
TL;DR: In this article, a linear relationship was obtained between the total specific work of fracture and ligament length (L) for PBT films of thicknesses 0.125, 0.175,0.275, and 0.5 mm, and good agreement was found between values of w e obtained from SENT and those obtained from DENT specimens; the value of βw p was consistently higher for SENT specimens.
Journal ArticleDOI
Observations on deformation characteristics and microstructure in an AlMg alloy during serrated flow
J.M. Robinson,M.P. Shaw +1 more
TL;DR: In this paper, the authors investigated the Portevin-Le Chatelier effect in an Al-4.5wt.%Mg alloy as a function of three different microstructural conditions.
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.