Geodesic
Relaxation and 3d-2d Passage Theorems in Hyperelasticity
Journal of convex analysis, Tome 19 (2012) no. 3, pp. 759-794
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We give an overview of relaxation and 3d-2d passage theorems in hyperelasticity in the framework of the multidimensional calculus of variations. We give several improvements of the proofs and we introduce the concept of p-ample integrand in showing its interest with respect to determinant type constraints. Some open questions are addressed.
Mots-clés : Calculus of variations, integral representation, relaxation, 3d-2d passage, Gamma(pi)-convergence, determinant type constraints, hyperelasticity 
@article{JCA_2012_19_3_JCA_2012_19_3_a7,
     author = {O. Anza Hafsa and J.-P. Mandallena},
     title = {Relaxation and 3d-2d {Passage} {Theorems} in {Hyperelasticity}},
     journal = {Journal of convex analysis},
     pages = {759--794},
     year = {2012},
     volume = {19},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a7/}
}
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O. Anza Hafsa; J.-P. Mandallena. Relaxation and 3d-2d Passage Theorems in Hyperelasticity. Journal of convex analysis, Tome 19 (2012) no. 3, pp. 759-794. http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a7/