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A General Theory for Elastic Phase Transitions in Crystals

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Analysis, Modeling and Simulation of Multiscale Problems

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Summary

We derive a general theory for elastic phase transitions in solids subject to diffusion under possibly large deformations. After stating the physical model, we derive an existence result for measure-valued solutions that relies on a new approximation result for cylinder functions in infinite settings.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04103, Leipzig

    Steffen Arnrich & Stephan Luckhaus

  2. Max-Planck-Institute for Mathematics in the Sciences, Inselstrasse 22-26, 04103, Leipzig

    Thomas Blesgen

Authors
  1. Steffen Arnrich
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  2. Thomas Blesgen
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  3. Stephan Luckhaus
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Editor information

Editors and Affiliations

  1. Weierstraß-Institut für Angewandte, Analysis und Stochastik, Mohrenstraße 39, 10117, Berlin, Germany

    Alexander Mielke

  2. Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany

    Alexander Mielke

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Arnrich, S., Blesgen, T., Luckhaus, S. (2006). A General Theory for Elastic Phase Transitions in Crystals. In: Mielke, A. (eds) Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35657-6_7

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