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À propos de : Numerical approaches to rate-independent processes and applications in inelasticity        

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  • Numerical approaches to rate-independent processes and applications in inelasticity
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  • A conceptual numerical strategy for rate-independent processes in the energetic formulation is proposed and its convergence is proved under various rather mild data qualifications. The novelty is that we obtain convergence of subsequences of space-time discretizations even in case where the limit problem does not have a unique solution and we need no additional assumptions on higher regularity of the limit solution. The variety of general perspectives thus obtained is illustrated on several specific examples: plasticity with isotropic hardening, damage, debonding, magnetostriction, and two models of martensitic transformation in shape-memory alloys.
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  • m2an0674
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  • © EDP Sciences, SMAI, 2009
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  • EDP Sciences, SMAI
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