General method of regularization. III: The unilateral contact problem

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

Abstrakty

EN

The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, we show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. We deduce that the relaxation of the energy of plastic soil (with the Signorini condition on the boundary) is the weak* lower semicontinuous regularization of the energy.

Kategorie tematyczne

• 74E05: Inhomogeneity
• 49J45: Methods involving semicontinuity and convergence; relaxation
• 46A20: Duality theory
• 26B30: Absolutely continuous functions, functions of bounded variation
• 74C05: Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
• 47N10: Applications in optimization, convex analysis, mathematical programming, economics
• 49K27: Problems in abstract spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 4
• Strony: 473-492

Daty

wydano

2004

Twórcy

autor

Jarosław L. Bojarski

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

Identyfikatory

DOI

10.4064/am31-4-8