Regularity of solutions in plasticity. II: Plates

Jarosław L. Bojarski. "Regularity of solutions in plasticity. II: Plates." Applicationes Mathematicae 31.1 (2004): 31-54. <http://eudml.org/doc/279505>.

@article{JarosławL2004,
abstract = {The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. We consider a plate made of a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space $W^\{2,1\}(Ω)$ if the stress solution is continuous and belongs to the interior of the set of admissible stresses, at each point. The part of the functional which describes the work of boundary forces is relaxed.},
author = {Jarosław L. Bojarski},
journal = {Applicationes Mathematicae},
keywords = {Hencky plasticity; displacement solution; space of bounded Hessian},
language = {eng},
number = {1},
pages = {31-54},
title = {Regularity of solutions in plasticity. II: Plates},
url = {http://eudml.org/doc/279505},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Jarosław L. Bojarski
TI - Regularity of solutions in plasticity. II: Plates
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 1
SP - 31
EP - 54
AB - The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. We consider a plate made of a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space $W^{2,1}(Ω)$ if the stress solution is continuous and belongs to the interior of the set of admissible stresses, at each point. The part of the functional which describes the work of boundary forces is relaxed.
LA - eng
KW - Hencky plasticity; displacement solution; space of bounded Hessian
UR - http://eudml.org/doc/279505
ER -