Abstract
For brittle materials it is shown how the probability of failure of an inhomogeneously stressed structure can be estimated from a knowledge of the expected defect population and the local fracture criterion relating the local stress for failure to the defect size. Account is taken of the possibility that a sample of material contains no defects so that failure is then caused by another mechanism. It is shown that the theory presented is very closely related to the classical theory of Weibull. Furthermore it is demonstrated how account may be taken of loading uncertainties which are experienced in practice.
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