2011•arXiv (Cornell University)Open access
Linearized plasticity is the evolutionary Gamma limit of finite plasticity
Alexander Mielke, Ulisse Stefanelli
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Abstract
We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Gamma-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity
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