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Analytical Solutions for Bending of Clamped Layered Composite Plates Using a Higher-Order Theory

K. Chandrashekhara

Department of Mechanical and Aerospace, Engineering and Engineering Mechanics, University of Missouri-Rolla, Rolla, MO 65401, USA

Analytical solutions are presented for the bending of clamped laminated plates using a higher-order shear deformation theory. Unlike the first-order shear deformation theory, the higher-order theory does not require a shear correction factor. The displacement field of the higher-order theory contains the same number of dependent variables as in the first-order shear deformation theory, and also accounts for the cubic variation of the in-plane displacements through the thickness. Closed-form solutions are not tractable for clamped composite plates due to the boundary conditions and anisotropy of the plate and hence approximate methods are required. In the present work, a method based on Lagrange multipliers is used to enforce the boundary conditions not satisfied by the assumed series. Results are presented for antisymmetric cross-ply and angle-ply plates to study the influence of anisotropy, aspect ratio, and loadings on the deflections and stresses of clamped plates.

Journal of Reinforced Plastics and Composites, Vol. 14, No. 12, 1259-1277 (1995)
DOI: 10.1177/073168449501401202


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