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Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys
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SYSNO ASEP 0519027 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys Author(s) Kružík, Martin (UTIA-B) RID, ORCID
Pelech, P. (CZ)
Schloemerkemper, A. (DE)Number of authors 3 Source Title Journal of Optimization Theory and Applications. - : Springer - ISSN 0022-3239
Roč. 184, č. 1 (2020), s. 5-20Number of pages 16 s. Publication form Print - P Language eng - English Country US - United States Keywords Gradient polyconvexity ; Invertibility of deformations ; Shape-memory alloys Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA17-04301S GA ČR - Czech Science Foundation (CSF) GA18-03834S GA ČR - Czech Science Foundation (CSF) GF16-34894L GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UTIA-B - RVO:67985556 UT WOS 000511320000002 EID SCOPUS 85061900966 DOI 10.1007/s10957-019-01489-9 Annotation We show the existence of an energetic solution to a model of shape-memory alloys in which the elastic energy is described by means of a gradient polyconvex functional. This allows us to show the existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Admissible deformations do not necessarily have integrable second derivatives. Under suitable assumptions, our model allows for solutions which are orientation preserving and globally injective everywhere in the domain representing the specimen. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2021 Electronic address https://link.springer.com/article/10.1007/s10957-019-01489-9
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