Two Dynamic Propagation Problems of Mode III Interface Crack
By the approaches of complex variable functions, two dynamic propagation problems of mode Ⅲ interface crack were researched. The problems considered can be very facilely changed into Riemann-Hilbert problem by means of self-similar functions, and analytical solutions of the stresses, displacements, dynamic stress intensity factors for the edges of mode Ⅲ symmetrical dynamix interface crack subjected to moving increasing loads Pt2/x2 and Px3/t2, respectively, were obtained by the methods of self-similar functions. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems can be readily attained.
N. C. Lü et al., "Two Dynamic Propagation Problems of Mode III Interface Crack", Advanced Materials Research, Vol. 214, pp. 477-481, 2011