HIGHER-ORDER THEORY FOR GEOMETRICALLY NONLINEAR ANALYSIS OF COMPOSITE LAMINATES.
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A third-order shear deformation theory of laminated composite plates and shells is developed, the Navier solutions are derived, and finite element models are developed. The theory allows a parabolic description of the transverse shear stresses, and therefore the shear correction factors of the usual shear deformation theory are not required in the present theory. The theory also accounts for the von Karman nonlinear strains. Closed-form solutions of the theory for rectangular cross-ply and angle-ply plates and cross-ply shells are developed. The finite element model is based on independent approximations of the displacements and bending moments (i. e. , mixed finite element model), and therefore, only C**0-approximation are required. The finite element model is used to analyze cross-ply and angle-ply laminated plates and shells for bending and natural vibration. Many of the numerical results presented here should serve as references for future investigations.
author list (cited authors)
Reddy, J. N., & Liu, C. F.