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Phase transitions with interfacial energy: interface null lagrangians, polyconvexity, and existence

SYSNO ASEP	0348282
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Phase transitions with interfacial energy: interface null lagrangians, polyconvexity, and existence
Author(s)	Šilhavý, Miroslav (MU-W)_{RID, SAI, ORCID}
Source Title	IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. - Dordrecht : Springer, 2010 / Hackl K. - ISBN 978-90-481-9194-9
Pages	s. 233-244
Number of pages	12 s.
Action	IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials
Event date	22.09.2008-26.09.2008
VEvent location	Bochum
Country	DE - Germany
Event type	WRD
Language	eng - English
Country	NL - Netherlands
Keywords	phase interfaces ; interface quasiconvexity ; Eshelby tensor ; phase equilibrium
Subject RIV	BA - General Mathematics
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000290694500018
EID SCOPUS	80051705922
DOI	10.1007/978-90-481-9195-6_18
Annotation	For interfacial interactions of “separable type” the existence is proved of stable multiphase equilibrium states minimizing the total energy. The total energy includes a deformation dependent contribution along sharp interfaces separating the phases. The second gradients of deformation do not occur; the theory is based on interfacial null lagrangians as determined in earlier works of the author. The interfacial interaction is always of separable type if the number of phases does not exceed 3Û for the remaining cases, the separable nature of the interface interaction is an assumption.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1