Analytical Approach to Dynamic Shear Load-Carrying Capacity for Brittle Materials

Abstract: Some explicit analytical expressions of the dynamic shear load-carrying capacity for brittle materials under a quadratic waveform loading are presented on the basis of the incubation time fracture criterion, by which the dynamic shear load-carrying capacity can be determined from the quasi-static material parameters, incubation time and stress wave loading conditions (loading amplitude, loading duration, and waveform). The numerical results are in good agreement with the previous experimental data. It is found that the incubation time fracture criterion can be adopted to describe the time-dependence of the dynamic shear failure of brittle materials and predict shear failure. Meanwhile, the so-called dynamic shear strength should be the dynamic shear load-carrying capacity, which is a computable result rather than a material parameter, and the strain rate enhancement effect on the shear failure strength cannot be considered as a material property but should be a structure response of brittle materials to stress wave loading conditions.