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A Young measures approach to quasistatic evolution for a class ofmaterial models with nonconvex elastic energies

Published online by Cambridge University Press:  26 April 2008

Alice Fiaschi
Alice Fiaschi*
Affiliation:
SISSA, via Beirut 2-4, 34014 Trieste, Italy; fiaschi@sissa.it
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Abstract

Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms of stochastic processes on a suitable probability space.

Keywords

Quasistatic evolutionrate-independent processeselastic materialsincremental problemsYoung measures
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 2 , April 2009 , pp. 245 - 278
Copyright
© EDP Sciences, SMAI, 2008

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