By using the dislocation model for the surface crack and images for the free surface, the analytical solutions for interaction between a screw dislocation near a mode III (anti-plane shear) surface crack; an internal crack; and a moving crack subjected to the dynamic antiplane stress have been derived. The distribution densities of the dislocations as well as the phase lags are expressed as a system of singular integral equations containing Bessel functions. With this approach, the above dynamic problems can be properly related to each other and the exact analytical expression for the stress intensity factor for any given frequency can be derived. The effects of the wave number, the input incident angle, propagation speed and the dislocation on the stress intensity factor are also presented.
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering