Duality arguments for linear elasticity problems with incompatible deformation fields
Analysis of PDEs
2020-07-16 v1
Abstract
We prove existence and uniqueness for solutions to equilibrium problems for free-standing, traction-free, non homogeneous crystals in the presence of plastic slips. Moreover we prove that this class of problems is closed under G-convergence of the operators. In particular the homogenization procedure, valid for elliptic systems in linear elasticity, depicts the macroscopic features of a composite material in the presence of plastic deformation.
Cite
@article{arxiv.2007.07741,
title = {Duality arguments for linear elasticity problems with incompatible deformation fields},
author = {Adriana Garroni and Annalisa Malusa},
journal= {arXiv preprint arXiv:2007.07741},
year = {2020}
}