Regularity of displacement solutions in Hencky plasticity. II: The main result

Jarosław L. Bojarski. "Regularity of displacement solutions in Hencky plasticity. II: The main result." Applicationes Mathematicae 38.4 (2011): 413-434. <http://eudml.org/doc/279931>.

@article{JarosławL2011,
abstract = { The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. Here, a non-homogeneous material is considered, where the elastic-plastic properties change discontinuously. In the first part, we have found the extremal relation between the displacement formulation defined on the space of bounded deformation and the stress formulation of the variational problem in Hencky plasticity. In the second part, we prove that the displacement solution belongs to the appropriate Sobolev space (if the stress solution belongs to the interior of a set of admissible stresses, at each point). Then we deduce a regularity theorem for displacement solutions in composite materials. },
author = {Jarosław L. Bojarski},
journal = {Applicationes Mathematicae},
keywords = {regularity of displacement solutions in Hencky plasticity; bounded deformation; boundary transmission problems in plasticity; composite materials},
language = {eng},
number = {4},
pages = {413-434},
title = {Regularity of displacement solutions in Hencky plasticity. II: The main result},
url = {http://eudml.org/doc/279931},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Jarosław L. Bojarski
TI - Regularity of displacement solutions in Hencky plasticity. II: The main result
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 4
SP - 413
EP - 434
AB - The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. Here, a non-homogeneous material is considered, where the elastic-plastic properties change discontinuously. In the first part, we have found the extremal relation between the displacement formulation defined on the space of bounded deformation and the stress formulation of the variational problem in Hencky plasticity. In the second part, we prove that the displacement solution belongs to the appropriate Sobolev space (if the stress solution belongs to the interior of a set of admissible stresses, at each point). Then we deduce a regularity theorem for displacement solutions in composite materials.
LA - eng
KW - regularity of displacement solutions in Hencky plasticity; bounded deformation; boundary transmission problems in plasticity; composite materials
UR - http://eudml.org/doc/279931
ER -