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Energetic approach to gradient plasticity
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SYSNO ASEP 0336009 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Energetic approach to gradient plasticity Title Energetický přístup ke gradientní plasticitě Author(s) Kratochvíl, J. (CZ)
Kružík, Martin (UTIA-B) RID, ORCID
Sedláček, R. (DE)Number of authors 3 Source Title ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 90, č. 2 (2010), s. 122-135Number of pages 14 s. Publication form www - www Language eng - English Country DE - Germany Keywords gradient plasticity ; energetic solution Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000274928800003 EID SCOPUS 75649117746 DOI 10.1002/zamm.200900227 Annotation We formulate a problem of the evolution of elasto-plastic materials subjected to external loads in the framework of large deformations and multiplicative plasticity. Our model includes gradients of the plastic strain and of hardening variables. We prove the existence of the so-called energetic solution. The stored energy density function is assumed to be quasiconvex in the elastic strain which makes our results applicable to relaxed models of shape memory materials, for instance. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2010
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