Two-dimensional variational problems of the theory of plasticity

G. A. Seregin

Izvestiya. Mathematics , Tome 60 (1996) no. 1, pp. 179-216.

Résumé

The present work gives explicit criteria for the local continuity of the stress tensor, which is a minimizer of a two-dimensional variational problem (the Haar–Karman principle). The local continuity of the deformation tensor is derived from the dual relations that reflect the fact that the displacement vector and the stress tensor are the saddle point of a particular Lagrangian.

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