ANALYTICAL SOLUTIONS TO THE SURFACE OF DYNAMIC MODE III CRACK SUBJECTED TO DIFFERENT LOADS
By the measures of theory for complex functions,the problems on the surface of a mode Ⅲ dynamic crack subjected to superimpose loads and impact loads were studied,respectively.Analytical solutions to the stress,displacement,stress intensity factor,strain energy density factor and dislocation distribution function are attained by the approaches of self-similar functions.The problem researched can be very facilely translated into Riemann-Hilbert problem and its closed solution will be obtained rather straightforward by this technique.Using the solution and superposition theorem,the solution of an arbitrarily complex problem can be acquired.