The relaxation of the Signorini problem for polyconvex functionals with linear growth at infinity

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

Abstrakty

EN

The aim of this paper is to study the unilateral contact condition (Signorini problem) for polyconvex functionals with linear growth at infinity. We find the lower semicontinuous relaxation of the original functional (defined over a subset of the space of bounded variations BV(Ω)) and we prove the existence theorem. Moreover, we discuss the Winkler unilateral contact condition. As an application, we show a few examples of elastic-plastic potentials for finite displacements.

Kategorie tematyczne

• 49J45: Methods involving semicontinuity and convergence; relaxation
• 74B20: Nonlinear elasticity
• 47H04: Set-valued operators
• 26B30: Absolutely continuous functions, functions of bounded variation
• 74C15: Large-strain, rate-independent theories (including nonlinear plasticity)
• 46A11: Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2005
• Tom: 32
• Numer: 4
• Strony: 443-464

Daty

wydano

2005

Twórcy

autor

Jarosław L. Bojarski

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

Identyfikatory

DOI

10.4064/am32-4-6