Asymptotic thermoelastic behavior of flat plates
Authors:
D. Blanchard and G. A. Francfort
Journal:
Quart. Appl. Math. 45 (1987), 645-667
MSC:
Primary 73U05; Secondary 73K10
DOI:
https://doi.org/10.1090/qam/917015
MathSciNet review:
917015
Full-text PDF Free Access
References |
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Additional Information
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- Philippe G. Ciarlet, A justification of the von Kármán equations, Arch. Rational Mech. Anal. 73 (1980), no. 4, 349–389. MR 569597, DOI https://doi.org/10.1007/BF00247674
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P. G. Ciarlet and Ph. Destuynder, A justification of a non-linear model in plate theory, Comput. Methods Appl. Mech. Engrg. 17, 227–258 (1979)
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D. Blanchard and P. G. Ciarlet, A remark on the von Kärmän equations, Comput. Methods Appl. Mech. Engrg. 37, 79–92 (1983)
H. Brezis, Analyse fonctionnelle. Théorie et Applications, Masson, Paris, 1983
P. G. Ciarlet, A justification of the von Kärmän equations, Arch. Rat. Mech. Anal. 73, 349–389 (1980)
P. G. Ciarlet and Ph. Destuynder, A justification of the two-dimensional linear plate model, J. Mécanique 18, 315–344 (1979)
P. G. Ciarlet and Ph. Destuynder, A justification of a non-linear model in plate theory, Comput. Methods Appl. Mech. Engrg. 17, 227–258 (1979)
G. Francfort, Homogenization and linear thermoelasticity, SIAM J. Math. Anal. 14, 696–708 (1983)
A. L. Goldenveizer, Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity, J. Appl. Math. 19, 1000–1025 (1963)
T. J. R. Hughes and J. E. Marsden, Topics in the mathematical foundations of elasticity, in Nonlinear analysis and mechanics, Heriot-Watt symposium, II, ed. R. J. Knops, Pitman Research Notes in Mathematics, Vol. 27, pp. 30–285, Boston, 1978
A. Raoult, Contribution à 1’étude des modèles d’évolution de plaques et à l’approximation d’équations d’évolution linéaires du second ordre par des méthodes multipas. Thèse, Université Pierre et Marie Curie, Paris (1980)
A. Raoult, ConstructiÖn d’un modèle d’évolution de plaques avec terme d’inertie de rotation, Ann. Mat. Pura Appl. 139, 361–400 (1985)
E. Sanchez-Palencia, Nonhomogeneous media and vibration theory, Lecture Notes in Physics, Vol. 127, Springer-Verlag, Berlin, 1980
K. Yosida, Functional Analysis, Springer-Verlag, Berlin, 1978
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Article copyright:
© Copyright 1987
American Mathematical Society
