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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Elastic-wave velocity characterization of gas hydrate-bearing fractured reservoirs in a permafrost area of the Qilian Mountain, Northwest China
Lu Qu,Changchun Zou,Lu Zhenquan,Changqing Yu,Ning Li,Jichang Zhu,Xiaohuan Zhang,Xuyuan Yue,Mingzhe Gao +8 more
TL;DR: In this article, an acoustic velocity characterization of the fractured gas hydrate reservoirs of the Qilian Mountain permafrost area, some mudstone core samples were collected for physical rock experiments, such as the acoustic experiment and the porosity and permeability experiment.
Journal ArticleDOI
Effect of necking types of sheet metal on the left-hand side of forming limit diagram
TL;DR: In this article, a 0-angle-type necking band of boron-steel sheets was found to be consistent with the experimental data, and the effects of parameters in the models on the LHS of forming limit diagram were evaluated.
Journal ArticleDOI
Forming Limit Diagram Prediction of Tailor-Welded Blank Using Experimental and Numerical Methods
TL;DR: In this paper, different numerical models were used to investigate the forming limit diagram (FLD) of tailor-welded blank (TWB) and compared with the experimental FLD as well as with the empirical model proposed by the North American Deep Drawing Research Group.
Journal ArticleDOI
Prediction of plastic instability in extruded aluminium alloys using shell analysis and a coupled model of elasto-plasticity and damage
TL;DR: In this article, a coupled model of elasto-plasticity and ductile damage was implemented in LS-DYNA for plane stress analysis with co-rotational shell elements.
Journal ArticleDOI
Modelling on grain size dependent thermomechanical response of superelastic NiTi shape memory alloy
Dongjie Jiang,Yao Xiao +1 more
TL;DR: In this article, a constitutive model involving intrinsic material instability and thermomechanical coupling is proposed and implemented implicitly into finite element software to describe the grain size dependence and rate dependence of superelastic NiTi.
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.