Existence theorems for a nonlinearly elastic., "properly invariant", membrane plate model;Théorèmes d'existence pour un modèle membranaire ≪ proprement invariant ≫ de plaque non linéairement élastique

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

Volumn 324, Issue 10, 1997, Pages 1181-1184

  Coutand, Daniel ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031138806     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)87908-6     Document Type: Article

References (10)

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] Green A. E. et Zerna W., 1968. Theoretical Elasticity, Oxford University Press.
3. [3] Ciarlet P. G., 1990. Plates and Junctions in Elastic Multi-Structures. An Asymptotic Analysis, Masson, Paris.
4. [4] Le Dret H. et Raoult A., 1995. The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity, J. Math. Pures Appl., 74, p. 549-578.
5. [5] Ciarlet P.G., 1988. Mathematical Elasticity, I, Three-Dimensional Elasticity, North Holland, Amsterdam.
6. [6] Ciarlet P.G. et Destuynder P., 1979. A justification of a nonlinear model in plate theory, Comp. Meth. Appl. Mech. Engrg., 17/18, p. 227-258.
7. [7] Fox D., Raoult A. et Simo J.C., 1992. Modèles asymptotiques invariants pour des structures minces élastiques, C. R. Acad. Sci. Paris, t 315, série I, p. 235-240.
8. [8] Agmon S., Douglis A. et Nirenberg L., 1964. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, II, Comm. Pure Appl. Math., 17, p. 35-92.
9. [9] Nečas J., 1967. Les Méthodes Directes en Théorie des Équations Elliptiques, Masson, Paris.
10. [10] Geymonat G., 1965. Sui problemi ai limiti per i sistemi lineari ellitici, Ann. Math. Pura Appl., 69, p. 207-284.