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

0348282 - MÚ 2011 RIV NL eng C - Conference Paper (international conference)
Šilhavý, Miroslav
Phase transitions with interfacial energy: interface null lagrangians, polyconvexity, and existence.
IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. Dordrecht: Springer, 2010 - (Hackl, K.), s. 233-244. ISBN 978-90-481-9194-9.
[IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. Bochum (DE), 22.09.2008-26.09.2008]
Institutional research plan: CEZ:AV0Z10190503
Keywords : phase interfaces * interface quasiconvexity * Eshelby tensor * phase equilibrium
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007%2F978-90-481-9195-6_18

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.
Permanent Link: http://hdl.handle.net/11104/0188851