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Existence Results for Incompressible Magnetoelasticity
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SYSNO ASEP 0443017 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Existence Results for Incompressible Magnetoelasticity Author(s) Kružík, Martin (UTIA-B) RID, ORCID
Stefanelli, U. (AT)
Zeman, J. (CZ)Number of authors 3 Source Title Discrete and Continuous Dynamical Systems. - : AIMS Press - ISSN 1078-0947
Roč. 35, č. 6 (2015), s. 2615-2623Number of pages 9 s. Publication form Print - P Language eng - English Country US - United States Keywords magnetoelasticity ; magnetostrictive solids ; incompressibility ; existence of minimizers ; quasistatic evolution ; energetic solution Subject RIV BA - General Mathematics R&D Projects GA13-18652S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000349678300012 EID SCOPUS 84920053875 DOI 10.3934/dcds.2015.35.2615 Annotation We investigate a variational theory for magnetoelastic solids un- der the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference conguration, magnetization is dened in the deformed congura- tion instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable pos- itively 1-homogeneous dissipation, a quasistatic evolution model is proposed and analyzed within the frame of energetic solvability. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2016
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