A screw dislocation interacting with a cycloid rough surface

We study the interaction between a screw dislocation and a traction-free periodic cycloid wavy surface under uniform remote anti-plane stress. A closed-form solution to the interaction problem is derived using conformal mapping and the image method. The image force acting on the screw dislocation is obtained by applying the Peach-Koehler formula. In the case of a cusped cycloid surface, we determine the mode III stress intensity factors at the cusp tips. Criteria for the emission of the screw dislocation from sharp and blunt cusp tips are established.