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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Dissertation
Comportement et rupture de gaines en zircaloy-4 détendu vierges, hydrurées ou irradiées en situation accidentelle de type RIA
TL;DR: In this paper, a model of the comportement viscoplastique anisotrope and the rupture in situation accidentelle d'injection de reactivite de gaines de crayons combustibles en Zircaloy-4 detendu vierges, hydrurees ou irradiees en reacteurs nucleaires a eau pressurisee.
Journal ArticleDOI
Analysis of the bending effects and the biaxial pre-straining in sheet metal stretch forming processes for the determination of the forming limits
TL;DR: In this paper, a study of biaxial pre-straining and bending effects is observed for different stress conditions and materials, and an efficient method based on the correlation coefficient for the evaluation of prestraining is presented.
Journal ArticleDOI
Instability limits to the forming of sheet metals
TL;DR: In this paper, the authors constructed forming limit diagrams employing predictions from local and diffuse plastic instability, and compared them with test results from hydrostatic bulging through circular and elliptical dies and uniaxial in-plane tension.
Journal ArticleDOI
Forming limits in a clad steel
David W. A. Rees,R.K. Power +1 more
TL;DR: In this paper, the authors examined the construction of a forming limit diagram for a zinc-clad, rolled-steel sheet and found that the forming limits depend upon the strain path for a given testpiece geometry.
Journal ArticleDOI
Failure characteristics of advanced high strength steels at macro and micro scales
TL;DR: In this paper, the fracture characteristics of two important AHSSs, i.e. DP980 and TRIP1180, were investigated using uniaxial tension and shear tests.
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.