Number of the records: 1
Equilibrium of phases with interfacial energy : a variational approach
- 1.
SYSNO ASEP 0360209 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Equilibrium of phases with interfacial energy : a variational approach Author(s) Šilhavý, Miroslav (MU-W) RID, SAI, ORCID Source Title Journal of Elasticity. - : Springer - ISSN 0374-3535
Roč. 105, 1-2 (2011), s. 271-303Number of pages 33 s. Language eng - English Country NL - Netherlands Keywords phase transitions ; phase interface ; interface polyconvexity Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000291361900013 EID SCOPUS 80051679628 DOI 10.1007/s10659-011-9341-6 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
Number of the records: 1