Author(s): Donald Carter

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Abstract: The dislocation pile-up model of Stroh has been used to study crack nuclea­tion. By energy balance considerations, the author has derived the brittle frac­ture criteria for both tensile and compressive tests. For an uniaxial tensile load, the stress required for crack propagation is smaller than the nucleation stress; once nucleated the crack will be self-propagating with respect to the applied stress. For an uniaxial compressive load, once nucleated the crack will come to rest at a finite length. By considering the energy dissipated in the plastic region at the head of this stable crack, it has been shown that when un­stable quasi-brittle fracture occurs under compressive stress, the ratio of brittle fracture stress to maximum ductile stress is 0.6. This analysis both predicts and provides a physical interpretation of the observed features of snow ice brittle behavior.

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Year: 1970