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Ciarlet, Philippe G.; Destuynder, Phillipe

A justification of a nonlinear model in plate theory. (English) Zbl 0405.73050

Computer Methods Appl. Mech. Engin. 17-18, 227-258 (1979).
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Cited in 8 Reviews
Cited in 90 Documents

MSC:

74K20 Plates
74B20 Nonlinear elasticity

Keywords:

Nonlinear Plate Model; Nonlinear Three-Dimensional Elasticity Model; Asymptotic Expansion Method
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\textit{P. G. Ciarlet} and \textit{P. Destuynder}, Comput. Methods Appl. Mech. Eng. 17--18, 227--258 (1979; Zbl 0405.73050)
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References:

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[2] Truesdell, C., Comments on rational continuum mechanics, () · Zbl 0188.58803
[3] Ciarlet, P.G.; Destuynder, P., Une justification du modèle biharmonique en théorie linéaire des plaques, C.R. acad. sci. Paris, 285, 851-854, (1977) · Zbl 0374.73057
[4] P.G. Ciarlet and P. Destuynder, A justification of the two-dimensional linear plate model. To appear in J. Mécanique. · Zbl 0415.73072
[5] P. Destuynder, Application de la méthode des développements asymptotiques à la théorie des plaques et des coques, Doctoral Dissertation, Univ. Pierre et Marie Curie, Paris.
[6] P. Destuynder, A comparison between the two-dimensional linear plate model and the three-dimensional elasticity model. To appear.
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[10] P.G. Ciarlet, A justification of the von Karmán equations. To appear.
[11] Adams, R.A., Sobolev spaces, (1975), Academic Press New York · Zbl 0186.19101
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[15] Nečas, J., LES méthodes directes en théorie des equations elliptiques, (1967), Masson Paris · Zbl 1225.35003
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[17] Agmon, S.; Douglis, A.; Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II, Comm. pure appl. math., 17, 35-92, (1964) · Zbl 0123.28706
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[19] Nečas, J., Theory of locally monotone operators modeled on the finite displacement theory for hyperelasticity, Beiträge zur analysis, 8, 103-114, (1976) · Zbl 0332.73046
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