Two Dynamic Propagation Problems of Symmetrical Mode III Crack
By the approaches of the theory of complex functions, two dynamic propagation problems of symmetrical mode Ⅲ crack were researched. The problems considered can be very facilely changed into Riemann-Hilbert problem by means of self-similar functions, and the general representations of analytical solutions of the stress, the displacement and dynamic stress intensity factor under the conditions of moving variable loads Pt and Px2/t2 which were applied the edges of mode Ⅲ crack, respectively, were readily acquired.
N. C. Lü et al., "Two Dynamic Propagation Problems of Symmetrical Mode III Crack", Applied Mechanics and Materials, Vols. 44-47, pp. 693-696, 2011