Normality Condition in Elasticity |
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Authors: | Yury Grabovsky Lev Truskinovsky |
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Affiliation: | 1. Temple University, Philadelphia, PA, USA 2. Ecole Polytechnique, Palaiseau, France
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Abstract: | Strong local minimizers with surfaces of gradient discontinuity appear in variational problems when the energy density function is not rank-one convex. In this paper we show that the stability of such surfaces is related to the stability outside the surface via a single jump relation that can be regarded as an interchange stability condition. Although this relation appears in the setting of equilibrium elasticity theory, it is remarkably similar to the well-known normality condition that plays a central role in classical plasticity theory. |
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