Geodesic
A regularity result for a linear membrane shell problem
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 30 (1996) no. 4, pp. 467-488.

Voir la notice de l'article provenant de la source Numdam

@article{M2AN_1996__30_4_467_0,
     author = {Genevey, K.},
     title = {A regularity result for a linear membrane shell problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {467--488},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {30},
     number = {4},
     year = {1996},
     mrnumber = {1399500},
     zbl = {0853.73038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_1996__30_4_467_0/}
}
TY  - JOUR
AU  - Genevey, K.
TI  - A regularity result for a linear membrane shell problem
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 1996
SP  - 467
EP  - 488
VL  - 30
IS  - 4
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://geodesic.mathdoc.fr/item/M2AN_1996__30_4_467_0/
LA  - en
ID  - M2AN_1996__30_4_467_0
ER  - 
%0 Journal Article
%A Genevey, K.
%T A regularity result for a linear membrane shell problem
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 1996
%P 467-488
%V 30
%N 4
%I AFCET - Gauthier-Villars
%C Paris
%U http://geodesic.mathdoc.fr/item/M2AN_1996__30_4_467_0/
%G en
%F M2AN_1996__30_4_467_0
Genevey, K. A regularity result for a linear membrane shell problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 30 (1996) no. 4, pp. 467-488. http://geodesic.mathdoc.fr/item/M2AN_1996__30_4_467_0/

S. Agmon, A. Douglis, L. Nirenberg, 1964, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II, Comm. Pure Appl. Math., 17, pp. 35-92. | Zbl | MR

M. Bernadou, P. G. Ciarlet, 1976, Sur l'ellipticité du modèle de W. T. Koiter, in Computing Methods in Applied Sciences and Engineering (R. Glowinski & J. L. Lions, editors), pp. 89-136, Lecture Notes in Economics and Mathematical Systems, Vol. 134, Springer-Verlag. Heidelberg. | Zbl | MR

M. Bernadou, P. G. Ciarlet, B. Miara, 1994, Existence theorems for two dimensional linear shell theories, J. Elasticity, 34, pp. 111-138. | Zbl | MR

P. G. Ciarlet, 1988, Mathematical Elasticity, Vol. I: Three-Dimensional Elasticity,North Holland, Amsterdam. | Zbl | MR

P. G. Clarlet, 1996, Mathematical Elasticity, Vol. II: Plates and Shells, North Holland, Amsterdam. | Zbl

P. G. Ciarlet, V. Lods, 1996, On the ellipticity of linear membrane shell equations,J. Math. Pures Appl., 75, pp. 107-124. | Zbl | MR

P. G. Ciarlet, V. Lods, 1994a, Analyse asymptotique des coques linéairement élastiques. I. Coques « membranaires », C. R. Acad. Sci. Paris, 318, Sérié I, pp. 863-868. | Zbl | MR

P. G. Ciarlet, V. Lods, 1994b, Analyse asymptotique des coques linéairement élastiques. III. Une justification du modèle de W. T. Koiter, C. R. Acad. Sci. Paris, 319, Série I, pp. 299-304. | Zbl | MR

P. G. Clarlet, V. Lods, B. Mlara, 1994, Analyse asymptotique des coques linéairement élastiques. II Coques « en flexion », C. R. Acad. Sci. Paris, 319, Série I, pp. 95-100. | Zbl | MR

P. G. Ciarlet, B. Miara, 1992, On the ellipticity of linear shell models, Z Angew. Math. Phys., 43, pp. 243-253. | Zbl | MR

P. G. Ciarlet, E. Sanchez-Palencia, 1996, An existence and uniqueness theorem for the two-dimensional linear membrane shell equations, J. Math. Pures Appl., 75, pp. 51-67. | Zbl | MR

P. Destuynder, 1980, Sur une Justification des Modèles de Plaques et de Coques par les Méthodes Asymptotiques, Doctoral Dissertation, Université Pierre et Marie Curie.

P. Destuynder, 1985, A classification of thin shell theories, Acta Applicandae Mathematicae, 4, pp. 15-63. | Zbl | MR

G. Geymonat, 1965, Sui problemi ai limiti per i sistemi lineari ellitici, Ann. Mat. Pura Appl., 69, pp. 207-284. | Zbl | MR

W. T. Koiter, 1970, On the foundations of the linear theory of thin elastic shells, Proc. Kon. Ned. Akad. Wetensch., B73, pp. 169-195. | Zbl

J. L. Lions, E. Magenes, 1968, Problèmes aux Limites Non Homogènes et Applications, Vol. I, Dunod, Paris. | Zbl

B. Miara, 1994, Analyse asymptotique des coques membranaires non linéairement élastiques, C. R. Acad. Sci. Paris, 318, Série I, pp. 689-694. | Zbl | MR

Necas J., 1967, Les Méthodes Directes en Théorie des Équations Elliptiques, Masson, Paris. | MR