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A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis
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SYSNO ASEP 0498635 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis Tvůrce(i) Roubíček, Tomáš (UT-L) RID, ORCID
Tomasetti, G. (IT)Celkový počet autorů 2 Číslo článku 55 Zdroj.dok. Zeitschrift für angewandte Mathematik und Physik. - : Springer - ISSN 0044-2275
Roč. 69, č. 3 (2018)Poč.str. 34 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova elastic magnets ; large strains ; viscous Cahn-Hilliard equation ; heat transfer ; weak solutions ; existence Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP GA16-03823S GA ČR - Grantová agentura ČR Institucionální podpora UT-L - RVO:61388998 UT WOS 000431757800001 EID SCOPUS 85045634793 DOI 10.1007/s00033-018-0932-y Anotace A theory of elastic magnets is formulated under possible diffusion and heat flow governed by Fick’s and Fourier’slaws in the deformed configuration, respectively. The concepts of nonlocal nonsimple materials and viscous Cahn–Hilliard equations are used. The formulation of the problem uses Lagrangian configuration while the transport processes are pulled back. Except the static problem, the demagnetizing energy is ignored and only local non-selfpenetration is considered. The analysis as far as existence of weak solutions of the (thermo) dynamical problem is performed by a careful regularization and approximation by a Galerkin method, suggesting also a numerical strategy. Either ignoring or combining particular aspects, the model has numerous applications as ferro-to-paramagnetic transformation in elastic ferromagnets, diffusion of solvents in polymers possibly accompanied by magnetic effects (magnetic gels), or metal-hydride phase transformation in some intermetallics under diffusion of hydrogen accompanied possibly by magnetic effects, all in the full thermodynamical context under large strains. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2019
Počet záznamů: 1