Analytical Solutions of Dynamic Extension Problem of Mode III Semi-Infinite Crack Subjected to Moving Increasing Loads

摘要

Dynamic extension problem of mode III semi-infinite crack was investigated by means of the theory of complex variable functions, which can be facilely transformed into Riemann-Hilbert problems. Analytical solutions of stress, displacement and stress intensity factor under the conditions of moving increasing loads Px~2/t~2 and Pt~3/x~2, respectively, are very easily obtained using the ways of self-similar functions.