Abstract
Statistical theories in fracture kinetics constitute a very important role in investigating the fracture strength of solids and their utilization in modern engineering. In this paper, a review of some of the recent concepts and models is provided. The main concern is the effect of the breaking stress on the time-to-break. Based upon the consideration of the fraction of integrity of a medium, a number of models have been evaluated and compared. Two basic considerations used for evaluation and comparison are Zhurkov’s empirical kinetic relationship and Hsiao’s statistical absolute reaction rate model. Other considerations reducible from these two are also given for comparison. Using a well-known numerical analysis method, it appears that the nonlinear mathematical consideration is more realistic in describing the time-dependent fracture strength behavior of a medium over any linear ones. The computed results seem to fit reasonably well with the general observations.
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