General method of regularization. II: Relaxation proposed by suquet
Volume 31 / 2004
Applicationes Mathematicae 31 (2004), 321-343
MSC: Primary 49J45; Secondary 49K99, 47N10, 47H04, 26B30, 74C05.
DOI: 10.4064/am31-3-7
Abstract
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. We show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we prove an existence theorem for the limit analysis problem.
