Sur l'ellipticité du modèle linéaire de coques de W.T. Koiter
Publications mathématiques et informatique de Rennes (1976)
- Issue: S5, page 1-47
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topBernadou, M., and Ciarlet, P. G.. "Sur l'ellipticité du modèle linéaire de coques de W.T. Koiter." Publications mathématiques et informatique de Rennes (1976): 1-47. <http://eudml.org/doc/274450>.
@article{Bernadou1976,
author = {Bernadou, M., Ciarlet, P. G.},
journal = {Publications mathématiques et informatique de Rennes},
language = {fre},
number = {S5},
pages = {1-47},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Sur l'ellipticité du modèle linéaire de coques de W.T. Koiter},
url = {http://eudml.org/doc/274450},
year = {1976},
}
TY - JOUR
AU - Bernadou, M.
AU - Ciarlet, P. G.
TI - Sur l'ellipticité du modèle linéaire de coques de W.T. Koiter
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S5
SP - 1
EP - 47
LA - fre
UR - http://eudml.org/doc/274450
ER -
References
top- Adams, R.A., [1] Sobolev spaces. Academic Press, New York, 1975. Zbl1098.46001MR450957
- Argyris, J.H., Haase, M., Malejannakis, G.A., [1] Natural geometry of surfaces with specific reference to the matrix displacement analysis of shells, I, II and III. Proc. Kon. Ned. Akad. Wetensch. B76 (1973), 361-410. Zbl0273.53001MR381469
- Bernadou, M., [1] Intégration numérique et éléments finis isoparmétriques pour les problèmes de coques. A paraître. Zbl0355.65082
- Budiansky, B., Sanders, J.L., [1] On the "best" first-order linear shell theory. Progr. in Appl. Mech. (v. PRAGER Anniversary Volume). pp. 129-140, Macmillan, New York, 1967. MR158595
- Ciarlet, P.G., [1] Numerical Analysis of the Finite Element Method. Presses de l'Université de Montréal, 1976. Zbl0363.65083MR495010
- Ciarlet, P.G.,[2] Numerical Analysis of the Finite Element Method for Elliptic Boundary Value Problems. North-Holland. 1977. Zbl0363.65083MR1115235
- Ciarlet, P.G.,[3] Conforming finite element methods for the shell problem. Proc. of the "Conference on the Mathematics of Finite Elements and Applications, Brunel University, April 07-10, (1975). MR475195
- Cosserat, E., et F. [1] Théorie des Corps Déformables. Hermann, Paris, 1909. Zbl40.0862.02JFM40.0862.02
- Coutris, N., [1] Flexions élastique et élastoplastique d'une coque mince. Journal de Mécanique12 (1973), 463-475. Zbl0271.73065MR421240
- Duvaut, G., Lions, J.L., [1] Les Inéquations en Mécanique et en Physique. Dunod, Paris, 1972. Zbl0298.73001MR464857
- Gordeziani, D.G., [1] On the solvability of some boundary value problems for a variant of the theory of thin shells. Dokl. Akad. Nauk SSSR215 (1974). traduit dans Soviet Math. Dokl.15 (1974), 677-680. Zbl0321.73062MR391657
- Gouyon. R., [1] Calcul Tensoriel. Vuibert, Paris, 1963.
- Green, A.E., Zerna, W., [1] Theoretical Elasticity. Oxford University Press, 2nd Edition, 1968. Zbl0056.18205MR245245
- Hlavacek, I., Necas, J. [1] On inequalities of Korn's type I and II . Arch. Rational Mech. Anal.36 (1970), 305-334. Zbl0193.39002MR252844
- Hormander, L. [1] Linear partial differential operators. Springer-Verlag, Berlin1964. Zbl0321.35001MR404822
- Koiter, W.T., [1] On the nonlinear theory of thin elastic shells. Proc. Kon. Ned. Akad. Wetensch. B69 (1966), 1-54. Zbl0213.27002MR192706
- Koiter, W.T.[2] On the foundations of the linear theory of thin elastic shells. Proc. Kon. Ned. Akad. Wetensch. B73 (1970), 169-195. Zbl0213.27002MR280050
- Koiter, W.T., Simmonds, J.G., [1] Foundations of shell theory. Proceedings of Thirteenth International Congress of Theoretical and Applied Mechnics. Moscow. August 1972. pp. 150-176. Springer-Verlag, Berlin, 1973. Zbl0286.73068MR446002
- Lelong-Ferrand, J., [1] Géométrie Différentielle. Masson, Paris, 1963. Zbl0111.34302
- Lichnerowicz, A., [1] Eléments de Calcul Tensoriel. Armand Colin, Paris, 1967 (8ème édition). Zbl0038.32203
- Lions, J.L., Magenes, E., [1] Problèmes aux limites non homogènes et applications. Dunod, Paris, 1968 (Volume 1). Zbl0165.10801
- Naghdi, P.M., [1] Foundations of elastic shell theory. Progress in Solid Mechanics, vol. 4, pp. 1-90. North-Holland, Amsterdam, 1963. MR163488
- Naghdi, P.M.[2] The theory of Shells and Plates. Handbuch der physik, vol. VIa-2, pp. 425-640, Springer-Verlag, Berlin, 1972.
- Necas, J. [1] Les Méthodes Directes en Théorie des Equations Elliptiques. Masson, Paris, 1967. Zbl1225.35003
- Novozhilov, V.V., [1] Thin Shell Theory. Wolters-Noordhoff Publishing, Groningen, 1970. Zbl0135.43602MR208886
- Rougee, P., [1] Equilibre des Coques Elastiques Minces Inhomogènes en Théorie non Linéaire.Thèse, Université de Paris, 1969. Zbl0172.51101
- Sanders, J.L., [1] An improved first-approximation theory for thin shells. Nasa Report, 24 (1959).
- Schwartz. L., [1] Théorie des Distributions. Hermann, Paris, 1966. Zbl0149.09501MR209834
- Shoikhet, B.A., [1] On existence theorems in linear shell theory PMM38 (1974), 567-571. Traduit en anglais dans Journal of Applied Mathematics and Mechanics, 38, (1974), 527-531. Zbl0324.73062MR359478
- Valiron, G. [1] Equations Fonctionnelles, Applications, Masson, Paris, 1950 (2ème édition). Zbl0061.16607
- Vekua, I.N., [1] Theory of thin shallow shells of variable thickness. Akad. Nauk Gruzin. SSRTrudy Tbilissi Mat. Inst. Razmadze30 (1965), 3-103 (Russian). Zbl0166.20904MR197007
- Yosida, K., [1] Functional Analysis. Grundleheren B.123, Springer, Berlin, 1968 (2ème edition).
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