Refinement of the Transverse Shear Deformation Theory for Multilayered Anisotropic Plates

摘要

A transverse shear deformation theory for the bending of thick multilayered anisotropic plates is developed. The u and v displacements are assumed to be piecewise linear across the thickness and allow the contact conditions for the displacements and the shearing stresses at the interfaces to be satisfied. Using a displacement field, the governing differential equations and related boundary conditions are obtained. Numerical tests carried out on the cylindrical bending of an infinite three-layered, symmetric, angle-ply laminate (+30 deg/-30 deg/+30 deg) of high modulus graphite-epoxy show that the appraoch gives better results for gross behavior of the laminate than those of classical lamination theory. The present approach also models the warpage of cross sections.