Geodesic
Linearized plasticity is the evolutionary $\Gamma$-limit of finite plasticity
Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 923-948.

Voir la notice de l'article provenant de la source EMS Press

We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Γ-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.
DOI : 10.4171/jems/381
Classification : 74-XX, 49-XX, 00-XX
Keywords: Finite-strain elastoplasticity, linearized elastoplasticity, gamma-convergence, rate-independent processes 
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     title = {Linearized plasticity is the evolutionary $\Gamma$-limit of finite plasticity},
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Alexander Mielke; Ulisse Stefanelli. Linearized plasticity is the evolutionary $\Gamma$-limit of finite plasticity. Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 923-948. doi : 10.4171/jems/381. http://geodesic.mathdoc.fr/articles/10.4171/jems/381/

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