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}
}
Comments
49 pages