Inserted: 29 jun 2011
Last Updated: 18 nov 2015
Journal: Ann. Inst. H. Poincare Anal. Non Lineaire
The energy functional of linear elasticity is obtained as $\Gamma$-limit of suitable
rescalings of the energies of finite elasticity.
The quadratic control from below of the energy density $W(\nabla v)$ for large values of the deformation
gradient $\nabla v$ is replaced here by the weaker condition
^p$, for some $p>1$. Energies of this type are commonly used in the study of a large class of compressible rubber-like materials.
Keywords: Gamma-convergence, nonlinear elasticity, linearized elasticity, rigidity estimates