General method of regularization. I: Functionals defined on BD space

Jarosław L. Bojarski. "General method of regularization. I: Functionals defined on BD space." Applicationes Mathematicae 31.2 (2004): 175-199. <http://eudml.org/doc/279788>.

@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. In part II, we will 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 will prove the existence theorem for the limit analysis problem.},
author = {Jarosław L. Bojarski},
journal = {Applicationes Mathematicae},
keywords = {regularization; relaxation; functions of bounded deformation; Hencky plasticity},
language = {eng},
number = {2},
pages = {175-199},
title = {General method of regularization. I: Functionals defined on BD space},
url = {http://eudml.org/doc/279788},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Jarosław L. Bojarski
TI - General method of regularization. I: Functionals defined on BD space
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 2
SP - 175
EP - 199
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. In part II, we will 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 will prove the existence theorem for the limit analysis problem.
LA - eng
KW - regularization; relaxation; functions of bounded deformation; Hencky plasticity
UR - http://eudml.org/doc/279788
ER -