English

Linearized plastic plate models as Gamma-limits of 3D finite elastoplasticity

Analysis of PDEs 2019-02-20 v1

Abstract

The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of {\Gamma}-convergence, in the framework of finite plasticity. Denoting by {\epsilon} the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy is of order {\epsilon}^(2{\alpha}-2), with {\alpha}>=3. According to the value of {\alpha}, partially or fully linearized models are deduced, which correspond, in the absence of plastic deformation, to the Von Karman plate theory and the linearized plate theory.

Keywords

Cite

@article{arxiv.1305.0481,
  title  = {Linearized plastic plate models as Gamma-limits of 3D finite elastoplasticity},
  author = {Elisa Davoli},
  journal= {arXiv preprint arXiv:1305.0481},
  year   = {2019}
}

Comments

19 pages

R2 v1 2026-06-22T00:10:18.847Z