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Abstract

Approximate numerical results for the strength distributions of large woven fiber networks are given. The system under consideration consists of fibers arranged in a mutually orthogonal, simple weave pattern. The goal is to estimate the cumulative distribution function for failure of the network as a function of the fiber properties and the failure mechanism. Based on a two-dimensional load sharing model developed earlier and appropriate asymptotic theory, we have constructed conservative upper bound approximations for arbitrarily large networks. Additionally, we have introduced a translation ratio that may be used to relate the lower tail behavior of diverse networks experiencing different biaxial loading conditions.

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References

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Asymptotic Approximations Used in Probabilistic Failure Modeling of Woven Fiber Networks

Abstract

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