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Equilibrium of phases with interfacial energy : a variational approach
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SYSNO ASEP 0360209 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Equilibrium of phases with interfacial energy : a variational approach Tvůrce(i) Šilhavý, Miroslav (MU-W) RID, SAI, ORCID Zdroj.dok. Journal of Elasticity. - : Springer - ISSN 0374-3535
Roč. 105, 1-2 (2011), s. 271-303Poč.str. 33 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova phase transitions ; phase interface ; interface polyconvexity Vědní obor RIV BA - Obecná matematika CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000291361900013 EID SCOPUS 80051679628 DOI 10.1007/s10659-011-9341-6 Anotace The paper proves the existence of equilibrium two phase states with elastic solid bulk phases and deformation dependent interfacial energy. The states are pairs consisting of the deformation on the body and the region occupied by one of the phases in the reference configuration. The bulk energies of the two phases are polyconvex functions representing two wells of the substance. The interfacial energy is interface polyconvex. The last notion is introduced and discussed, together with the interface quasiconvexity and interface null lagarangians. The constitutive theory and equilibrium theory of the interface are discussed in detail under appropriate smoothness hypotheses. Various forms of the interfacial stress relations for the standard and configurational (Eshelby) interfacial stresses are established. The equilibrium equations are derived by a variational argument emphasizing the roles of outer and inner variations. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
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