Studying Multilayered Composite Plates with Different Thicknesses and Boundary Conditions in Nonlinear Domain Using modified Finite Element

Abstract

In this Article, we study some practical examples of multilayered composite plates with various thicknesses and different boundary conditions in the geometrical nonlinear domain. We use a modified finite element method based on incremental form of the virtual displacement principle in which we apply an incremental iterative approach through small steps to convert the nonlinear problem into a series of linear consecutive small steps. For this purpose a modified finite element has been developed, this element uses approximate functions similar to those used in the well-known finite element ACM and in addition to the homogeneous part we implement a new nonhomogeneous part  to take into considerations loading case on the element so the approximate functions fulfill the nonhomogeneous differential equation at the finite element level. These algorithms were framed in a code using MATLAB programing language, and some examples of multilayered composite plates with different thicknesses and boundary conditions were studied. The results were compared with well-known scientific literature, Numerical results showed great convergence with those provided in literature and a speed in obtaining deflection.