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Networks and Heterogeneous Media

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

  • 1.
    IMATI-CNR, v. Ferrata 1, 27100, Pavia
  • Received: 01 June 2009 Revised: 01 March 2010

  • Primary: 74B20; Secondary: 28A33, 74G65, 49J45.

  • 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.

    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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  • 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.


  • This article has been cited by:

    1. Alice Fiaschi, Dorothee Knees, Ulisse Stefanelli, Young-Measure Quasi-Static Damage Evolution, 2012, 203, 0003-9527, 415, 10.1007/s00205-011-0474-3
    2. Alice Fiaschi, Young-measure quasi-static damage evolution: The nonconvex and the brittle cases, 2013, 6, 1937-1179, 17, 10.3934/dcdss.2013.6.17
    3. Alexander Mielke, Tomàš Roubíček, 2015, Chapter 2, 978-1-4939-2705-0, 45, 10.1007/978-1-4939-2706-7_2
    4. Alice Fiaschi, Dorothee Knees, Sina Reichelt, Global higher integrability of minimizers of variational problems with mixed boundary conditions, 2013, 401, 0022247X, 269, 10.1016/j.jmaa.2012.11.040
    5. Alice Fiaschi, Quasistatic evolution for a phase-transition model: a Young measure approach, 2011, 34, 09367195, 124, 10.1002/gamm.201110020
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  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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