Finite-Element Analysis of Laminated Composite-Material Plates.

摘要

A finite-element formulation of the equations governing the laminated anisotropic plate theory of Yang, Norris and Stavsky, is presented. The theory is a generalization of Mindlin's theory for isotropic plates to laminated anisotropic plates and includes shear deformation and rotary inertia effects. Finite-element solutions are presented for rectangular plates of antisymmetric angle-ply laminates having material properties that are typical of a highly anisotropic composite material. Two sets of material properties that are typical of advanced fiber-reinforced composites are used to show the parametric effects of plate aspect ratio, length-to-thickness ratio, number of layers, and lamination angle. The element is also employed to study the bending of laminated, anisotropic bimodulus material-plates. Results are presented for single-layer and two-layer cross-ply rectangular plates subjected to sinusoidal loading. The report also presents a C deg. finite element for the von Karman equations of thin elastic plates.