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. 
@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},
     pages = {25--45},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {94},
     year = {1995},
     mrnumber = {1370900},
     zbl = {0846.73010},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1995__94__25_0/}
}
TY  - JOUR
AU  - Brighi, Bernard
AU  - Bousselsal, Mahmoud
TI  - On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1995
SP  - 25
EP  - 45
VL  - 94
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1995__94__25_0/
LA  - en
ID  - RSMUP_1995__94__25_0
ER  - 
%0 Journal Article
%A Brighi, Bernard
%A Bousselsal, Mahmoud
%T On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1995
%P 25-45
%V 94
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1995__94__25_0/
%G en
%F 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://www.numdam.org/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 | Zbl

[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 | Zbl

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

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

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