On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function
Brighi, Bernard ; Bousselsal, Mahmoud
Rendiconti del Seminario Matematico della Università di Padova, Tome 94 (1995), p. 25-45 / Harvested from Numdam
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Publié le : 1995-01-01
@article{RSMUP_1995__94__25_0,
     author = {Brighi, Bernard and Bousselsal, Mahmoud},
     title = {On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {94},
     year = {1995},
     pages = {25-45},
     mrnumber = {1370900},
     zbl = {0846.73010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1995__94__25_0}
}

Brighi, Bernard; Bousselsal, Mahmoud. On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function. Rendiconti del Seminario Matematico della Università di Padova, Tome 94 (1995) pp. 25-45. http://gdmltest.u-ga.fr/item/RSMUP_1995__94__25_0/

[A] J.J. Alibert, Variétés splines en élasticité non linéaire, Thesis, University of Toulouse (1990).

[B] J.M. Ball, Convexity conditions and existence theorems in non linear elasticity, Arch. Rat. Mech. Analysis, 63 (1977), pp. 337-403. | MR 475169 | Zbl 0368.73040

[Br] B. Brighi, Sur quelques problèmes de Calcul des Variations et l'approximation de leur fonctionnelle relaé, Thesis, University of Metz (1991).

[Ci 1] P.G. Ciarlet, Mathematical Elasticity, Volume 1: Three-Dimensional Elasticity, North-Holland (1988). | MR 936420 | Zbl 0648.73014

[Ci 2] P.G. Ciarlet, Elasticité tridimensionnelle, Masson, Paris (1986). | MR 819990 | Zbl 0572.73027

[D] B. Dacorogna, Direct Methods in the Calculus of Variations, Applied Math. Sciences, # 78 Springer Verlag (1989). | MR 990890 | Zbl 0703.49001

[Ra] A. Raoult, Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material, Aplikace Matematiky, 6 (1986), pp. 417-419. | MR 870478 | Zbl 0608.73023