Dynamic Extension Problems Concerning Symmetrical Mode III Crack

By means of the theory of complex variable functions, dynamic extension problems concerning symmetrical mode Ⅲ crack were researched. The problems considered can be very facilely translated into Riemann-Hilbert problem by the measures of self-similar functions, and the general expressions of analytical solutions of the stress, the displacement and dynamic stress intensity factor under the conditions of motive variable loads Px2/t and Pt2/x2 which were applied the surfaces of mode Ⅲ crack, respectively, were gained.