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On approximation theorem for structured deformations from BV(Omega)
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SYSNO ASEP 0443122 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On approximation theorem for structured deformations from BV(Omega) Author(s) Šilhavý, Miroslav (MU-W) RID, SAI, ORCID Source Title Mathematics and Mechanics of Complex Systems - ISSN 2326-7186
Roč. 3, č. 1 (2015), s. 83-100Number of pages 18 s. Language eng - English Country IT - Italy Keywords structured deformation ; fracture ; approximations Subject RIV BA - General Mathematics R&D Projects GA201/09/0473 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000410183800004 EID SCOPUS 84942836529 DOI 10.2140/memocs.2015.3.83 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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