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

Alice Fiaschi, ,IMATI-CNR, v. Ferrata 1, 27100, Pavia · Networks and Heterogeneous Media · 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.

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