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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...
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...
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