A general theory for elastic phase transitions in crystals

S. Arnrich; T. Blesgen; S. Luckhaus

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

A general theory for elastic phase transitions in crystals

S. Arnrich
, T. Blesgen
, S. Luckhaus

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

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Abstract

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.

Original language	English
Title of host publication	Analysis, modeling and simulation of multiscale problems
Editors	A. Mielke
Place of Publication	Berlin
Publisher	Springer
Pages	179-196
ISBN (Print)	978-3-540-35656-1
DOIs	https://doi.org/10.1007/3-540-35657-6_7
Publication status	Published - 2006

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title = "A general theory for elastic phase transitions in crystals",

abstract = "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.",

author = "S. Arnrich and T. Blesgen and S. Luckhaus",

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AU - Arnrich, S.

AU - Blesgen, T.

AU - Luckhaus, S.

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U2 - 10.1007/3-540-35657-6_7

DO - 10.1007/3-540-35657-6_7

M3 - Chapter

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EP - 196

BT - Analysis, modeling and simulation of multiscale problems

A2 - Mielke, A.

PB - Springer

CY - Berlin

ER -

A general theory for elastic phase transitions in crystals

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