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

Alice Fiaschi

doi:10.3934/nhm.2010.5.257

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2010, Volume 5, Issue 2: 257-298. Doi: 10.3934/nhm.2010.5.257

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

Alice Fiaschi^1,

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

Received: May 31, 2009

Revised: February 28, 2010

Published: May 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 74B20; Secondary: 28A33, 74G65, 49J45.

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