Investigation of Stress Distributions Between A Frictional Rigid Cylinder and Laminated Glass Fiber Composites

Abstract

Surface and sub – surface stresses, and edges of contact patch between a rigid cylinder and laminated glass fiber composites are evaluated in this thesis. A novel and modern system of analysis based on Cholesky decomposition, Gauss elimination, Hermite orthogonal polynomials, Fourier transforms and singular integral equation (SIE) is developed to obtain analytical results. Numerical results are obtained in order to verify the precision of the analytical method using an effective and self mesh adaptive computational model built on augmented contact formulation (ACF) and finite element method. The effectiveness of the new analytical formulation was shown by a perfect match between these results. The formulations have been introduced for various interaction properties, material parameters, friction related terms, and lamina order in order to monitor the effects on surface and sub – surface stresses, and edges of contact patch. The findings and discussions addressed can be of value to the structural design of laminated glass fiber composites under extreme contact conditions.