Linear elasticity obtained from finite elasticity by Γ-convergence under weak coerciveness conditions
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 5, pp. 715-735.

The energy functional of linear elasticity is obtained as Γ-limit of suitable rescalings of the energies of finite elasticity. The quadratic control from below of the energy density $W\left(\nabla v\right)$ for large values of the deformation gradient ∇v is replaced here by the weaker condition $W\left(\nabla v\right)⩾{|\nabla v|}^{p}$, for some $p>1$. Energies of this type are commonly used in the study of a large class of compressible rubber-like materials.

@article{AIHPC_2012__29_5_715_0,
author = {Agostiniani, Virginia and Dal Maso, Gianni and DeSimone, Antonio},
title = {Linear elasticity obtained from finite elasticity by {\ensuremath{\Gamma}-convergence} under weak coerciveness conditions},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {715--735},
publisher = {Elsevier},
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Agostiniani, Virginia; Dal Maso, Gianni; DeSimone, Antonio. Linear elasticity obtained from finite elasticity by Γ-convergence under weak coerciveness conditions. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 5, pp. 715-735. doi : 10.1016/j.anihpc.2012.04.001. http://www.numdam.org/articles/10.1016/j.anihpc.2012.04.001/

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