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On approximation theorem for structured deformations from BV(Omega)
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SYSNO ASEP 0443122 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On approximation theorem for structured deformations from BV(Omega) Tvůrce(i) Šilhavý, Miroslav (MU-W) RID, SAI, ORCID Zdroj.dok. Mathematics and Mechanics of Complex Systems - ISSN 2326-7186
Roč. 3, č. 1 (2015), s. 83-100Poč.str. 18 s. Jazyk dok. eng - angličtina Země vyd. IT - Itálie Klíč. slova structured deformation ; fracture ; approximations Vědní obor RIV BA - Obecná matematika CEP GA201/09/0473 GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000410183800004 EID SCOPUS 84942836529 DOI 10.2140/memocs.2015.3.83 Anotace This note deals with structured deformations introduced by Del Piero and Owen. As treated in the present paper, a structured deformation is a pair .(g,G) where g is a macroscopic deformation giving the position of points of the body and G represents deformations without disarrangements. Here g is a map of bounded variation on the reference region, and G is a Lebesgue-integrable tensorvalued map. For structured deformations of this level of generality, an approximating sequence gk of simple deformations is constructed from the space of maps of special bounded variation on which converges in the strongly to (g,G) and for which the sequence of total variations of gk is bounded. The condition is optimal. Further, in the second part of this note, the limit relation of Del Piero and Owen is established on the above level of generality. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2016
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