Existence of a minimizer for the nonlinearly elastic, "properly invariant", "flexural" plate model;Existence d'un minimiseur pour le modèle ≪ proprement invariant ≫ de plaque ≪ en flexion ≫ non linéairement élastique

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 2, 1997, Pages 245-248

  Coutand, Daniel ^a  

^a Lab d'Analyse Numérique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030639020     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80354-1     Document Type: Article

References (8)

1. [1] Fox D., Raoult A. et Simo J. C., 1993. A justification of nonlinear properly invariant plate theories, Arch. Rational Mech. Anal., 124, p. 157-199.
2. [2] Ciarlet P. G., 1990. Plates and Junctions in Elastic Multi-Structures. An Asymptotic Analysis, Masson, Paris.
3. [3] Ciarlet P. G., 1988. Mathematical Elasticity, I, Three-Dimensional Elasticity, North Holland, Amsterdam.
4. [4] Zeidler E., 1984. Nonlinear Functional Analysis and its Applications, III, Springer-Verlag, Berlin.
5. [5] Ball J. M., 1977. Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational. Mech. Anal., 63, p. 337-403.
6. [6] Ciarlet P. G., 1997. Mathematical Elasticity, III: Theory of Shells, North Holland, Amsterdam.
7. [7] Lods V. et Miara B., 1995. Analyse asymptotique des coques ≪ en flexion ≫ non linéairement élastiques, C. R. Acad. Sci. Paris, 321, série I, p. 1097-1102.
8. [8] Ciarlet P. G. et Coutand D. (à paraître).