Abstract
The dependence of the tensile fracture stress on crack length in dilatationally phase-transforming ceramics is studied by modeling the evolution of the transformed regions around the tips of finite cracks during crack growth. The presence of the transformation is found to reduce the stress required for crack-growth initiation. However, the peak, or “ultimate”, tensile stress is found to occur during subsequent crack growth, and the transformation-strengthening, that is, the increase of tensile strength due to phase transformation, is found as a function of initial crack size.
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