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June  2010, 5(2): 257-298. doi: 10.3934/nhm.2010.5.257

Rate-independent phase transitions in elastic materials: A Young-measure approach

Alice Fiaschi 1,

1. 

IMATI-CNR, v. Ferrata 1, 27100, Pavia, Italy

Received  June 2009 Revised  March 2010 Published  May 2010

A quasistatic evolution problem for a phase transition model with nonconvex energy density is considered in terms of Young measures. We focus on the particular case of a finite number of phases. The new feature consists in the usage of suitable regularity arguments in order to prove an existence result for a notion of evolution presenting some improvements with respect to the one defined in [13], for infinitely many phases.
Keywords: incremental problems, rate-independent processes, phase transitions, elastic materials, Quasistatic evolution, Young measures..
Mathematics Subject Classification: Primary: 74B20; Secondary: 28A33, 74G65, 49J4.
Citation: Alice Fiaschi. Rate-independent phase transitions in elastic materials: A Young-measure approach. Networks & Heterogeneous Media, 2010, 5 (2) : 257-298. doi: 10.3934/nhm.2010.5.257
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