Geodesic
General method of regularization. I: Functionals defined on BD space
Jarosław L. Bojarski1
1 Institute of Fundamental Technological Research Polish Academy of Sciences Świętokrzyska 21 00-049 Warszawa, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 2, pp. 175-199.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am31-2-4
Keywords: paper prove relaxation elastic perfectly plastic energy solid made hencky material lower semicontinuous regularization plastic energy integral representation non locally coercive functional part set solutions relaxed problem equal set solutions relaxed problem proposed suquet moreover prove existence theorem limit analysis problem

Jarosław L. Bojarski 1

1 Institute of Fundamental Technological Research Polish Academy of Sciences Świętokrzyska 21 00-049 Warszawa, Poland 
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Jarosław L. Bojarski. General method of regularization.
 I: Functionals defined on BD space. Applicationes Mathematicae, Tome 31 (2004) no. 2, pp. 175-199. doi : 10.4064/am31-2-4. http://geodesic.mathdoc.fr/articles/10.4064/am31-2-4/

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