Closed-form solutions are not tractable for clamped composite plates due to the boundary conditions and anisotropy of the plate. In the present work, a method based on Lagrange multipliers is developed for the bending analysis of antisymmetric angle-ply clamped plates. The transverse shear flexibility is incorporated in the energy functional. Boundary conditions not satisfied by the assumed series are enforced using Lagrange multipliers. Results are presented to study the influence of shear deformation, anisotropy, aspect ratio and loadings on the deflections and stresses of clamped plates.
Deflections and Stresses of Antisymmetric Angle-Ply Clamped Plates Under Transverse Loading
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Yahyavi, A. H., and Chandrashekhara, K. (September 1, 1991). "Deflections and Stresses of Antisymmetric Angle-Ply Clamped Plates Under Transverse Loading." ASME. J. Energy Resour. Technol. September 1991; 113(3): 210–213. https://doi.org/10.1115/1.2905807
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