Abstract
In this study, the dynamic fracture analysis of finite cracks in anisotropic elastic solids subjected to incident horizontally polarized shear waves is investigated. The influence of finite length of the crack on the dynamic stress intensity factor will be discussed in detail. A linear coordinate transformation is introduced to simplify the problem. The linear coordinate transformation reduces the anisotropic finite crack problem to an equivalent isotropic problem. An alternative methodology different from the conventional superposition method is developed to construct the diffracted fields. The transient solutions are determined by superposition of two proposed fundamental solutions in the Laplace transform domain. For stationary cracks, the exact analytical solutions of dynamic stress intensity factors for two crack tips are obtained in explicit forms and have accounted for the contributions of all the diffracted waves. For a step-stress wave, the maximum dynamic overshot of stress intensity factor is 4/ π for any combination of material constants and incident angles. If the stress intensity factor reaches the fracture toughness of the material, the two crack tips are assumed to propagate along the crack tip line with constant subsonic velocities. The influence of the diffracted waves generated from the other crack tip on the propagating crack tip is analyzed. It is shown in this study that the diffracted waves from the other crack tip have significant influence on the stress intensity factors for propagating cracks.
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