Differential quadrature–layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports

In this paper, a differential quadrature model is proposed, which is established within a layerwise framework for the bending analysis of composite laminates. Three-dimensional theory of elasticity is implemented, and all physical governing equations are satisfied, including characteristics of the continuity and discontinuity of interfacial transverse and in-plane displacements, strains and stresses along interfaces of the composite laminates, thus delivering highly accurate numerical solutions. Variation in boundary conditions, plate aspect and thickness ratios, and loading conditions are examined, demonstrating the applicability, accuracy, and stability of the present methodology. Numerical examples for rectangular cross-ply laminated plates subjected to a uniform load, sinusoidal load or uniformly distributed moment are studied. Selected results from these examples are compared with those available in existing published literature.