Fracture dynamics problem on mode I semi-infinite crack

摘要

By means of the theory of complex functions, fracture dynamics problems concerning mode I semi-infinite crack were studied. Analytical solutions of stress, displacement and dynamic stress intensity factor under the action of moving increasing loads Pt~3/x~3, Px~3/t~3, respectively, are very easily obtained using the ways of self-similar functions. The correlative closed solutions are attained based on the Riemann-Hilbert problems.