Failure Statistics of Unidirectional Long-Fiber Composites
Weibull’s theory of strength variability and size-strength relationships was formulated for a material in which the flaws are assumed preexisting and invariant to the applied loads. Failure occurs when one of these flaws is stressed beyond its capacity. In a typical uniaxially reinforced composite the increasing applied stress creates the cracks and causes them to grow. When one reaches critical size (a size which depends on the stress level) fracture of the specimen occurs. An approximate theory describing this behavior bears a simple and rather interesting relationship to Weibull theory.
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