Linear elasticity obtained from finite elasticity by Γ-convergence under weak coerciveness conditions
Agostiniani, Virginia ; Dal Maso, Gianni ; DeSimone, Antonio
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012), p. 715-735 / Harvested from Numdam
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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(∇v) for large values of the deformation gradient ∇v is replaced here by the weaker condition W(∇v)⩾|∇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 $\Gamma$-convergence under weak coerciveness conditions},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {29},
     year = {2012},
     pages = {715-735},
     doi = {10.1016/j.anihpc.2012.04.001},
     mrnumber = {2971028},
     zbl = {1250.74008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2012__29_5_715_0}
}

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) pp. 715-735. doi : 10.1016/j.anihpc.2012.04.001. http://gdmltest.u-ga.fr/item/AIHPC_2012__29_5_715_0/

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