Fracture probabilities associated with spherical cavities were analyzed by combining principles of fracture mechanics and fracture statistics. The analysis is based on the theory that fracture occurs from a distribution of cracks located at the cavity surfaces. It predicts effects on strength of cavity size and cavity volume content (porosity) that depend sensitively on the flaw population in relation to the cavity size distribution. The theory has limit solutions that coincide with several models of fracture derived for porous ceramics. The predicted effects of pore size on strength are compared with some available data.
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Evans et al. (1979) studied this question.
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