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Differential properties of solutions of evolution variational inequalities in the theory of plasticity

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Abstract

We study the differential properties of weak solutions of evolution variational inequalities in the theory of flow of elastoplastic media with hardening. We consider the two most popular models of hardening—isotropic and kinematic. The differential properties studied depend on the nature of the hardening. In the case of isotropic hardening great smoothness of the distributed load is required, and in this situation the result is the same for the stress tensor—it belongs to the class L ∞ (0,T;W 12,loc ).Bibliography: 10 titles.

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Authors
  1. G. A. Seregin
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Translated fromProblemy Matematicheskogo Analiza, No. 12, 1992, pp. 153–173.

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Seregin, G.A. Differential properties of solutions of evolution variational inequalities in the theory of plasticity. J Math Sci 72, 3449–3458 (1994). https://doi.org/10.1007/BF01250434

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  • DOI: https://doi.org/10.1007/BF01250434

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