Linearized plasticity is the evolutionary Γ-limit of finite plasticity

Details Linearized plasticity is the evolutionary Γ-limit of finite plasticity Linearized plasticity is the evolutionary Γ-limit of finite plasticity

2011-11-04

arxiv.org/abs/1111.1192v1

Mathematics

Analysis of PDEs

To appear on J. Eur. Math. Soc. (JEMS)

Scientific paper

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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