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General method of relaxation. [Pt. 1], Functionals defined on BD(Omega) space

Bojarski J.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 3

289-301

The aim of this paper is to find the lower semicontinuous regularization of a functional of displacement energy, with a constrains on the boundary of Omega. This functional describes the elasto-perfectly plastic energy of a solid made of a nonhomogeneous (or homogeneous) Hencky material. In this contribution we prove that the mentioned above regularization is equal to the relaxation found in [4], i.e. B** = B#*.