General method of regularization. III: The unilateral contact problem

Jarosław L. Bojarski. "General method of regularization. III: The unilateral contact problem." Applicationes Mathematicae 31.4 (2004): 473-492. <http://eudml.org/doc/279522>.

@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 with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, 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. We deduce that the relaxation of the energy of plastic soil (with the Signorini condition on the boundary) is the weak* lower semicontinuous regularization of the energy.},
author = {Jarosław L. Bojarski},
journal = {Applicationes Mathematicae},
keywords = {Hencky plasticity; Signorini problem; soil mechanics; the largest l.s.c. minorant less than the original functional},
language = {eng},
number = {4},
pages = {473-492},
title = {General method of regularization. III: The unilateral contact problem},
url = {http://eudml.org/doc/279522},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Jarosław L. Bojarski
TI - General method of regularization. III: The unilateral contact problem
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 4
SP - 473
EP - 492
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 with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, 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. We deduce that the relaxation of the energy of plastic soil (with the Signorini condition on the boundary) is the weak* lower semicontinuous regularization of the energy.
LA - eng
KW - Hencky plasticity; Signorini problem; soil mechanics; the largest l.s.c. minorant less than the original functional
UR - http://eudml.org/doc/279522
ER -