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

• Autorzy: Jarosław L. Bojarski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 49J45: Methods involving semicontinuity and convergence; relaxation
• 49K30: Optimal solutions belonging to restricted classes
• 49N60: Regularity of solutions
• 74C05: Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 4
• Strony: 413-434

Daty

wydano

2011

Twórcy

autor

Jarosław L. Bojarski

• Department of Applied Mathematics, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159, 02-787 Warszawa, Poland

Identyfikatory

DOI

10.4064/am38-4-2