no. 5
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(∇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.

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     author = {Agostiniani, Virginia and Dal Maso, Gianni and DeSimone, Antonio},
     title = {Linear elasticity obtained from finite elasticity by {\protect\emph{\ensuremath{\Gamma}}-convergence} under weak coerciveness conditions},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {715--735},
     year = {2012},
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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

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