Self-similar solutions to mode iii interface crack subjected to variable loadings Pxmtn

By the method of complex functions,self-similar solutions are obtained for a mode III interface cracksubjected to variable loadings Pxmtn. The problems discussed can be transformed into Riemann-Hilbert problems by this method, thenanalytical solutions are obtained by self-similar functions.Using those solutions and the superposition theorem, the solution toarbitrarily complex problems can be obtained.