Volume 15, Number 2, April-June 2009
|Page(s)||245 - 278|
|Published online||26 April 2008|
A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies
SISSA, via Beirut 2-4, 34014 Trieste, Italy; firstname.lastname@example.org
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.
Mathematics Subject Classification: 74B20 / 28A33 / 74G65 / 49J45
Key words: Quasistatic evolution / rate-independent processes / elastic materials / incremental problems / Young measures
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.