Abstract
Limitations of classical laminated plate theory are investigated by comparing solutions of several specific boundary value problems in this theory to the corresponding theory of elasticity solutions. The general class of problems treated involves the geometric configuration of any number of isotropic or orthotropic layers bonded together and subjected to cylindrical bending. In general it is found that conventional plate theory leads to a very poor description of laminate response at low span-to-depth ratios, but converges to the exact solution as this ratio increases. The analysis presented is also valid in the study of sandwich plates under cylindrical bending.
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References
E. Reissner and Y. Staysky, “Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates,” J. Appl. Mech., Vol. 28 (1961), p. 402.
S. B. Dong, K. S. Pister, and R. L. Taylor, “On the Theory of Laminated Anisotropie Shells and Plates,” J. Aero. Sci., Vol. 28 (1962), p. 969.
J. M. Whitney, “Effect of Transverse Shear Deformation on the Bending of Laminated Plates,”J. Composite Materials, Vol. 3 (1969), p. 000
S. W. Tsai, “Introduction to Mechanics of Composite Materials, Part II — Theoretical Aspects,” Air Force Materials Laboratory Report, AFML-TR-66–149 (1966).
S. W. Tsai and N. J. Pagano, “Invariant Properties of Composite Materials,” in Composite Materials Workshop, S. W. Tsai, J. C. Halpin, and N. J. Pagano, eds., Technomic Publishing Company, Inc., Stamford, Conn. (1967), p. 2. 33.
N. J. Pagano, “Analysis of the Flexure Test of Bidirectional Composites,” J. Composite Materials, Vol. 1 (1967), p. 336.
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© 1994 Springer Science+Business Media Dordrecht
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Pagano, N.J. (1994). Exact Solutions for Composite Laminates in Cylindrical Bending. In: Reddy, J.N. (eds) Mechanics of Composite Materials. Solid Mechanics and Its Applications, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2233-9_7
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DOI: https://doi.org/10.1007/978-94-017-2233-9_7
Publisher Name: Springer, Dordrecht
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