Abstract
A general approach for the statistical analysis of fracture under multiaxial states of stress was developed. The approach invokes a critical coplanar strain‐energy release‐rate fracture criterion and considers distributions of penny cracks in random and preferred orientations. The analysis predicts strength ratios that depend on the strength dispersion and the proximity to the lower bound. For example, the uniaxial and equibiaxial strength ratios well above the lower bound are 1.25 to 1.09 for a typical range of dispersions. Uniaxial and equibiaxial fracture data for alumina were analyzed and compared with the theory. A good correlation was obtained.
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