Abstract

An evolution equation of microcracks for brittle cracked materials subjected to an applied dynamic tensile pressure is presented. The influence of inertial effects (or kinetics) on the dynamic growth of microcracks, which is a major characteristic of intense dynamic loading, is taken into account. Numerical analysis of the evolution equation clearly indicates that microcrack growth at high strain rate (ε̇≥103 s−1) is unstable. The critical condition for microcrack dynamic growth is obtained. It is predicted that the threshold stress for dynamic growth of microcracks is dependent on the average strain rate at super-high strain rate (ε̇≥106 s−1); however, numerical result is also shown that when the average strain rate ≤105 s−1, the threshold stress can be, approximately, taken to be a constant.

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