Quasistatic evolution models for thin plates arising as low energy Gamma-limits of finite plasticity

Elisa Davoli

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arXiv · 1305.0477

Quasistatic evolution models for thin plates arising as low energy Gamma-limits of finite plasticity

Elisa Davoli

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Abstract

In this paper we deduce by {\Gamma}-convergence some partially and fully linearized quasistatic evolution models for thin plates, in the framework of finite plasticity. Denoting by {\epsilon} the thickness of the plate, we study the case where the scaling factor of the elasto- plastic energy is of order {\epsilon}^ (2{\alpha}-2), with {\alpha}>=3. We show that solutions to the three- dimensional quasistatic evolution problems converge, as the thickness of the plate tends to zero, to a quasistatic evolution associated to a suitable reduced model depending on {\alpha}.

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Elisa Davoli. 2013-05-02. Quasistatic evolution models for thin plates arising as low energy Gamma-limits of finite plasticity. https://arxiv.org/abs/1305.0477

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