Symmetrical Dynamic Propagation Problems of Mode III Interface Crack

By the theory of complex functions, symmetrical dynamic propagation problems of mode III interface crack were investigated. The problems considered can be very easily translated into Riemann-Hilbert problem by the methods of self-similar functions, and the universal expressions of analytical solutions for the surfaces of symmetrical mode III interface crack subjected to moving alterable loadings Pt-3/x(3) and Px(4)/t(3) were obtained, respectively. After those solutions, were utilized by superposition theorem, the solutions of arbitrary complex problems could be acquired.