FINITE DIFFERENCE APPROACH FOR OPTIMUM COMPRESSIVE STRENGTHS OF GRP COMPOSITES

Abstract

The paper presents finite difference method as computational approach for optimization of compressive failure response of Glass Fibre Reinforced Polyester (GRP). A two dimensional multiple linear regression model obtained by subjecting replicated samples GRP composites to compressive failure was found to be a two dimensional Laplace function through transformation to partial differential equation (PDE). By passing the Finite difference model of the function through nine interior mesh points of a composite region a system of nine by nine linear equations was developed and solved by Leibman method (Gauss-Seidel iteration). The Leibman method algorithms result was optimized by Visual Basic (VB) language Programme. The finite difference method gave the ultimate compressive strength as 154 MPa. The 3-D surface plot of the model also showed that the compressive failure response of the composite is elliptical.