Abstract
A Mindlin-type shear deformation theory is applied to the bending and buckling analysis of anisotropic, rectangular plates. Approximate solutions to the governing partial differential equations are obtained utilizing the Galerkin method. Three sets of boundary conditions are considered. Numerical results are obtained in conjunction with symmetrically-laminated composite plates. Accuracy of the numerical method is investigated along with the effects of bending-twisting coupling on maximum deflection under transverse load and on critical buckling loads. Arbitrary combinations of inplane normal and shear forces are included in the buckling analysis. Numerical results indicate that the effect of bending-twisting shear coupling depends on plate thickness.
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References
Whitney, J. M., Structural Analysis of Laminated Plates, Lancaster, Pennsylvania, Technomic Publishing Company, 1987.
Jones, R. M., Mechanics of Composite Materials, Washington D.C., Scripta Book Company, 1975.
Vinson, J. R. and Chou, T. W., Composite Materials and Their Use in Structures, New York, John Wiley, 1975.
Mindlin, R. D., Influence of rotatory inertia and shear deformation on flexural motions of isotropic, elastic plates, ASME Trans., J. Appl. Mech., 18 (1951), 31–38.
Yang, P. C, Norris, C. H. and Stavsky, Y., Elastic wave propagation in heterogeneous plates, Int. J. Solids Struct., 2 (1966), 665–671.
Whitney, J. M. and Pagano, N. J., Shear deformation in heterogeneous anisotropic plates, ASME Trans. J. Appl. Mech., 37 (1970), 1031–1036.
Flaggs, D. L. and Vinson, J. R., Hygrothermal effects on the buckling of laminated composite plates, Fibre Sci. Technol., 11 (1978), 353–365.
Wilson, D. W. and Vinson, J. R., Viscoelastic analysis of laminated plate buckling, AIAA J., 22 (1984), 982–988.
Craig, T. J. and Dawe, D. J., Flexural vibration of symmetrically laminated, composite, rectangular plates including transverse shear effects, Int. J. Solids Struct., 22 (1986), 155–169.
Dawe, D. J. and Craig, T. J., The influence of shear deformation on the natural frequencies of laminated rectangular plates, in Composite Structures—3 ( Marshall, I. H. ed.), London, Elsevier Applied Science, 1985, pp. 660–676.
Dawe, D. J. and Craig, T. J., The vibration and stability of symmetrically-laminated composite rectangular plates subjected to in-plane stresses, Composite Structures, 5 (1986), 281–307.
Kantorovich, L. V. and Krylov, V. I., Approximate Methods of Higher Analysis (translated by C. D. Benster), New York, Interscience, 1958.
Whitney, J. M., Curvature effects in the buckling of symmetrically-laminated rectangular plates with transverse shear deformation, submitted to Composite Structures.
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© 1987 Elsevier Applied Science Publishers Ltd
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Whitney, J.M. (1987). The Effect of Shear Deformation on the Bending and Buckling of Anisotropic Laminated Plates. In: Marshall, I.H. (eds) Composite Structures 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3455-9_8
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DOI: https://doi.org/10.1007/978-94-009-3455-9_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8047-7
Online ISBN: 978-94-009-3455-9
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