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arxiv: 1111.1192 · v1 · pith:UWUJZHXGnew · submitted 2011-11-04 · 🧮 math.AP · math.FA

Linearized plasticity is the evolutionary Gamma-limit of finite plasticity

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keywords plasticityelastoplasticitylinearizedapproachclassicalconvergeenergeticevolutionary
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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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