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A model of shape memory alloys taking into account plasticity
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SYSNO ASEP 0358966 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A model of shape memory alloys taking into account plasticity Author(s) Kružík, Martin (UTIA-B) RID, ORCID
Zimmer, J. (GB)Source Title IMA Journal of Applied Mathematics - ISSN 0272-4960
Roč. 76, č. 1 (2011), s. 193-216Number of pages 24 s. Language eng - English Country GB - United Kingdom Keywords elasto-plasticity ; energetic solution ; plastic strain gradients 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 000286674200011 DOI 10.1093/imamat/hxq058 Annotation We propose a phenomenological model for the evolutionary behaviour of shape memory alloys, where the possibility of plastic deformation is taken in to account. Two dissipative mechanisms are considered, namely the dissipation associated with solid–solid (martensitic) phase transformations and plastic dissipation. The plastic contribution may lead to an irreversibility of the evolution. The existence of a so-called energetic solution is established for a suitable relaxation of the problem in the space of Young measures. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2012
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