Dynamic extension problems concerning asymmetrical mode III crack

By application of the method of complex variable function, dynamic extension problems on the surfaces of asymmetrical mode III crack subjected to shear loads were researched. Universal expressions of analytical solutions were attained by the approaches of self-similar functions. The problems considered can be facilely transformed into Riemann–Hilbert problems in terms of this technique, and analytical solutions of the stress, the displacement and dynamic stress intensity factor under the actions of unlike loads P and Pt located at the origin of the coordinates respectively, were acquired. In the light of corresponding material properties, the variable rule of dynamic stress intensity factor was depicted very well. By those solutions gained and superposition principle, the solutions of discretionarily intricate problems can be obtained.