Dynamic solutions on mode III interface cracks in bismuth-copper

By means of the theory of complex variable functions, dynamic extension queries solutions of symmetrical mode III interface cracks in bismuth-copper alloys were researched in this paper. The crack extension should also appear in the form of self-similarity because interface failure is ascertained by the maximum tensile stress. The formulation involves the development of a Riemann-Hilbert problem. The issues which were considered can be very easily transformed into Riemann-Hilbert problem according to the methods of self-similar functions, and the general representations of analytical solutions of the stresses, displacements and dynamic stress intensity factors for the edges of symmetrical mode III interface crack subjected to moving enhancive loadings Px ⁶/t ⁶ and Pt ⁷/x ⁶. In the light of correlative material properties, the changeable law of dynamic stress intensity factor was illustrated very well. The solutions were obtained by application of superposition principle in this paper, and the solutions of discretionally intricate queries could be readily acquired.