With the theory of complex functions,dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads are investigated.General representations of analytical solutions are obtained with self-similar functions.The problems can be easily converted into Riemann-Hilbert problems using this technique.Analytical solutions to stress,displacement and dynamic stress intensity factor under constant and unit-step moving loads on the surfaces of asymmetrical extension crack,respectively,are obtained.By applying these solutions,together with the superposition principle,solutions of discretionarily intricate problems can be found.
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