A General Theory for Elastic Phase Transitions in Crystals

Steffen Arnrich (), Thomas Blesgen () and Stephan Luckhaus ()
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Steffen Arnrich: Universität Leipzig, Mathematisches Institut
Thomas Blesgen: Max-Planck-Institute for Mathematics in the Sciences
Stephan Luckhaus: Universität Leipzig, Mathematisches Institut

A chapter in Analysis, Modeling and Simulation of Multiscale Problems, 2006, pp 179-196 from Springer

Abstract: 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.

Keywords: Representative Volume Element; Implicit Time; Energy Inequality; Young Measure; Cylinder Function (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-35657-8_7

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DOI: 10.1007/3-540-35657-6_7

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