Regularity of solutions in plasticity. I: Continuum

Jarosław L. Bojarski. "Regularity of solutions in plasticity. I: Continuum." Applicationes Mathematicae 30.3 (2003): 337-364. <http://eudml.org/doc/278964>.

@article{JarosławL2003,
abstract = {The aim of this paper is to study the problem of regularity of solutions in Hencky plasticity. We consider a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space $LD(Ω) ≡ \{u ∈ L¹(Ω,ℝⁿ) | ∇u + (∇u)^\{T\} ∈ L¹(Ω,ℝ^\{n×n\})\}$ 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; bounded deformation},
language = {eng},
number = {3},
pages = {337-364},
title = {Regularity of solutions in plasticity. I: Continuum},
url = {http://eudml.org/doc/278964},
volume = {30},
year = {2003},
}

TY - JOUR
AU - Jarosław L. Bojarski
TI - Regularity of solutions in plasticity. I: Continuum
JO - Applicationes Mathematicae
PY - 2003
VL - 30
IS - 3
SP - 337
EP - 364
AB - The aim of this paper is to study the problem of regularity of solutions in Hencky plasticity. We consider a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space $LD(Ω) ≡ {u ∈ L¹(Ω,ℝⁿ) | ∇u + (∇u)^{T} ∈ L¹(Ω,ℝ^{n×n})}$ 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; bounded deformation
UR - http://eudml.org/doc/278964
ER -