General method of regularization. II: Relaxation proposed by suquet

Jarosław L. Bojarski. "General method of regularization. II: Relaxation proposed by suquet." Applicationes Mathematicae 31.3 (2004): 321-343. <http://eudml.org/doc/279012>.

@article{JarosławL2004,
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.},
author = {Jarosław L. Bojarski},
journal = {Applicationes Mathematicae},
keywords = {regularization; relaxation; functions of bounded deformation; integral representation; Hencky plasticity; limit analysis problem},
language = {eng},
number = {3},
pages = {321-343},
title = {General method of regularization. II: Relaxation proposed by suquet},
url = {http://eudml.org/doc/279012},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Jarosław L. Bojarski
TI - General method of regularization. II: Relaxation proposed by suquet
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 3
SP - 321
EP - 343
AB - 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.
LA - eng
KW - regularization; relaxation; functions of bounded deformation; integral representation; Hencky plasticity; limit analysis problem
UR - http://eudml.org/doc/279012
ER -