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

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

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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.
- Quasistatic evolution,
- rate-independent processes,
- elastic materials,
- phase transitions,
- incremental problems,
- Young measures
Citation: Alice Fiaschi. Rate-independent phase transitions in elastic materials: A Young-measure approach[J]. Networks and Heterogeneous Media, 2010, 5(2): 257-298. doi: 10.3934/nhm.2010.5.257

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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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