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A simple higher-order theory for laminated composite plates. (English) Zbl 0549.73062
Summary: A higher-order shear deformation theory of laminated composite plates is developed. The theory contains the same dependent unknowns as in the first-order shear deformation theory of J. M. Whitney and N. J. Pagano [ibid. 37, 1031–1036 (1970; Zbl 0218.73078)], but accounts for parabolic distribution of the transverse shear strains through the thickness of the plate. Exact closed-form solutions of symmetric cross-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and first-order shear deformation theory solutions. The present theory predicts the deflections and stresses more accurately when compared to the first-order theory.

74E30 Composite and mixture properties
74K20 Plates
74E10 Anisotropy in solid mechanics
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