Linearized plasticity is the evolutionary \Gamma-limit of finite plasticity

Alexander Mielke; Ulisse Stefanelli

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arXiv · 1111.1192

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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Alexander Mielke, Ulisse Stefanelli. 2011-11-04. Linearized plasticity is the evolutionary \Gamma-limit of finite plasticity. https://arxiv.org/abs/1111.1192

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