Calculus of Variations and Geometric Measure Theory

E. Mainini - D. Percivale

Linearization of elasticity models for incompressible materials

created by mainini on 21 Apr 2020
modified on 04 May 2023

[BibTeX]

Published Paper

Inserted: 21 apr 2020
Last Updated: 4 may 2023

Journal: Z. Angew. Math. Phys.
Volume: 73
Year: 2022
Doi: 10.1007/s00033-022-01768-y

ArXiv: 2004.09286 PDF

Abstract:

We obtain linear elasticity as $\Gamma$-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.