English

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

Analysis of PDEs 2013-05-03 v1

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}.

Keywords

Cite

@article{arxiv.1305.0477,
  title  = {Quasistatic evolution models for thin plates arising as low energy Gamma-limits of finite plasticity},
  author = {Elisa Davoli},
  journal= {arXiv preprint arXiv:1305.0477},
  year   = {2013}
}

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49 pages