Linearization of elasticity models for incompressible materials
Analysis of PDEs
2020-04-21 v1 Mathematical Physics
math.MP
Optimization and Control
Abstract
We obtain linear elasticity as -limit of finite elasticity under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class of energy densities for rubber-like materials.
Cite
@article{arxiv.2004.09286,
title = {Linearization of elasticity models for incompressible materials},
author = {Edoardo Mainini and Danilo Percivale},
journal= {arXiv preprint arXiv:2004.09286},
year = {2020}
}