General method of regularization. I: Functionals defined on BD space

• 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) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. In part II, we will show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we will prove the existence theorem for the limit analysis problem.

Kategorie tematyczne

• 49K99: None of the above, but in this section
• 49J45: Methods involving semicontinuity and convergence; relaxation
• 47H04: Set-valued operators
• 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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 2
• Strony: 175-199

Daty

wydano

2004

Twórcy

autor

Jarosław L. Bojarski

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland

Identyfikatory

DOI

10.4064/am31-2-4