Abstract
By application of the approaches of the theory of complex functions, dynamic fracture of orthotropic solids under anti-plane shear loading were researched. Universal expression of analytical solutions was attained by the measures of self-similar functions. The problems dealt with can be facilely transformed into Riemann-Hilbert problems by this technique, and analytical solutions of the stress, the displacement and dynamic stress intensity factor under the actions of moving increasing loads Pt/x and Pt2/x for the edges of asymmetrical mode III crack, respectively, were acquired. In light of corresponding material properties, the variable rule of dynamic stress intensity factor was depicted very well.
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