The Stochastic Finite Element Simulation of Parallel Fiber Composites

Abstract

A method is presented of simulating the randomly occurring damage in a parallel fiber composite subject to static loading. A three-dimensional finite element is used for the matrix material and a two-node truss element for the fibers. Individual fiber strengths vary randomly along their lengths and a series of problems are solved, successively accounting for the failure of the lowest strength remaining fiber. Stress concentration effects intro duced by fiber failure are considered. Force-deflection curves are obtained. Failure stress of the entire model can be estimated by observing the num ber of fiber failures per load increment.