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Probability Failure Modeling of Woven Fiber Networks

A probability model is developed to describe the failure of a biaxially loaded woven fiber network. The system under consideration consists of fibers arranged in a mutually orthogonal, simple weave pattern. The primary goal is to estimate the cumulative distribution function for failure of the network as a function of the fiber properties and the failure mechanism. The two-dimensional load sharing model is applicable to systems consisting of different fibers and various biaxial loading conditions. An al gorithm that explicitly computes the distribution function is developed and evaluated numerically. Results are qualitatively consistent with other lattice models.