no. 4
Modeling and justification of an eigenvalue problem for a plate inserted in a three-dimensional support
ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 4, pp. 413-444. 
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     author = {Lods, V.},
     title = {Modeling and justification of an eigenvalue problem for a plate inserted in a three-dimensional support},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {413--444},
     publisher = {AFCET - Gauthier-Villars},
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     volume = {30},
     number = {4},
     year = {1996},
     mrnumber = {1399498},
     zbl = {0866.73031},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1996__30_4_413_0/}
}
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Lods, V. Modeling and justification of an eigenvalue problem for a plate inserted in a three-dimensional support. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 4, pp. 413-444. http://www.numdam.org/item/M2AN_1996__30_4_413_0/

[1] F. Bourquin and P. G. Ciarlet, 1989, Modeling and Justification of Eigenvalue Problems for Jonctions between Elastic Structures, J. Funct. Anal., 87, pp. 392-427. | MR | Zbl

[2] P. G. Ciarlet, 1990, Plates and Junctions in Elastic Multi Structures : An asymptotic Analysis, Masson, Paris and Springer-Verlag, Heidelberg. | MR | Zbl

[3] P. G. Ciarlet and P. Destuynder, 1979, A justification of the two-dimensional plate model, J. Mécanique, 18, pp. 315-344. | MR | Zbl

[4] P. G. Ciarlet and S. Kesavan, 1981, Modélisation de la jonction entre un corps élastique tri-dimensionnel et une plaque, C. R.Acad. Sci. Paris, Série I 305,pp 55-58. | MR | Zbl

[5] P. G. Ciarlet and H. Le Dret, 1989, Justification of boundary conditions of a clamped plate by an asymptotic analysis, Asymptotic Analysis, 2, pp. 257-277. | MR | Zbl

[6] P. G. Ciarlet, H. Le Dret and R. Nzengwa, 1987, Two dimensional approximations of three-dimensional eigenvalue problems in plate theory, Comp. Methods Appl. Mech. Engrg., 26, pp. 149-172. | MR | Zbl

[7] P. G. Ciarlet, H. Le Dret and R. Nzengwa, 1989, Junctions between three-dimensional and two-dimensional liearly elastic structures, J. Math. Pures Appl.,68, pp. 261-295. | MR | Zbl

[8] P. G. Ciarlet and J. C. Paumier, 1986, A justification of the Marguerre von Karman equations, Comput, Mech, I, pp. 177-202. | Zbl

[9] R. Courant and D. Hilbert, 1953, Methods of Mathematical Physics, Vol. 1, Interscience, New York. | MR | Zbl

[10] P. Destuynder, 1980, Sur une Justification des Modèles de Plaques et de Coques par les Méthodes Asymptotiques, Thèse d'état, Université Pierre et Marie Curie, Paris (1980).

[11] P. Destuynder, 1986, Une Théorie Asymptotique des Plaques Minces en Élasticité Linéarisée, Masson, Paris. | MR | Zbl

[12] G. Duvaut and J. L. Lions, 1972, Les Inéquations en Mécanique et en Physique, Dunod, Paris. | MR | Zbl

[13] W. T. Koiter, 1970, On the foundation of the linear theory of thin elastic shells, Proc. Kon. Nederl. Akad Wetensch., B 73, pp. 169-195. | MR | Zbl

[14] J. Necas, 1967, Les méthodes Directes en Théorie des Équations Elliptiques, Masson, Paris. | MR | Zbl

[15] A. Raoult, 1990, Asymptotic modeling of the elastodynamics of a multi-structure, Asymptotic Analysis, 6, 73-108. | MR | Zbl