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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Failure in sheet metal in biaxial tension
R. Sowerby,J.L. Duncan +1 more
TL;DR: In this article, the authors used the Marciniak hypothesis which associates failure in biaxial tension in sheet metal with pre-existing inhomogeneities to determine theoretically forming limit diagrams for sheet metal having different degrees of strainhardening, normal plastic anisotropy and ductility.
Journal ArticleDOI
On the resistance to penetration of stiffened plates, Part II: Numerical analysis
TL;DR: In this article, a series of indentation tests have been carried out quasi-statically on various configurations of stiffened panels and the performance of two failure criteria, referred to as the BWH instability criterion and the RTCL damage criterion, were investigated.
Journal ArticleDOI
Prediction of the forming limit diagrams of anisotropic sheets in linear and non-linear loading.
TL;DR: In this paper, the authors used Hill's theory of plastic anisotropy for both linear and non-linear strain paths in terms of the anisotropic coefficient measured during uniaxial tensile tensile stretching in three different directions referred to the rolling direction.
Journal ArticleDOI
The ductile fracture of metals: A microstructural viewpoint
TL;DR: A review of the literature on the ductile fracture of metals and alloys reveals almost immediately that the majority of investigations approach the topic from a fracture mechanics point of view and that papers based entirely on microstructural research are rare as discussed by the authors.
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.