LARGE DISPLACEMENT ELASTIC-PLASTIC ANALYSIS OF LAMINATED COMPOSITE PLATES UNDER IN-PLANE COMPRESSIVE LOADS

Abstract

A nonlinear finite element method is adopted for the large displacement elastic-plastic static analysis of anisotropic plates under in-plane compressive loads. The analysis is based on the two-dimensional layered approach with classical and higher order shear deformation theory with five, seven, and nine degrees of freedom per node. Nine-node Lagrangian isoparametric quadrilateral elements are used for the discretization of the laminated plates. Effects of orthotropy of individual layers, through-thickness shear deformation, fiber،¦s orientation angle, and fiber waviness on the large displacement elastic-plastic static analysis are considered. The plate is analyzed with a range of number of sequences (k) of sine wave fiber (1-12) and with a range of the amplitude of fiber path (ƒ´) of sine wave fiber (0.0-0.5). The conclusion it is shown that the behavior of the laminated plate is very sensitive to the shape of fibers (straight or sine wave), also the behavior of the plate with sine wave fiber depends on the amplitude of the fiber and the number of sequences of the fiber, and so the capacity of the laminated plate with sine wave fiber and under in-plane compressive load in the direction of waviness is higher than the capacity of the plate with sine wave fiber and under in-plane compressive load orthogonal to the direction of waviness by approximate value (42%).
Keyword: Large Displacement, elastic-plastic analysis, finite element method, composite plate, in-plane compressive loads.