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A Young measures approach to quasistatic evolutionfor a class ofmaterial models with nonconvexelastic energies

Published online by Cambridge University Press:  26 April 2008

Alice Fiaschi*
Affiliation:
SISSA, via Beirut 2-4, 34014 Trieste, Italy; [email protected]
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Abstract

Rate-independent evolution for material models with nonconvexelastic energies is studied without any spatial regularization ofthe inner variable; due to lack of convexity, the model is developedin the framework of Young measures. An existence result for thequasistatic evolution is obtained in terms of compatible systems ofYoung measures. We also show as this result can be equivalentlyreformulated with probabilistic language and leads to thedescription of the quasistatic evolution in terms of stochasticprocesses on a suitable probability space.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2008

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