Fracture dynamics problems of mode I semi-infinite crack for anisotropic orthotropic body

Abstract

By means of the theory of complex functions, fracture dynamics problems of mode I semiinfinite crack for anisotropic orthotropic body were researched. Analytical solutions of stress, displacement, and dynamic stress intensity factor under the action of moving increasing loads P x 3 /t 3 , P t 4 /x 3 , respectively, are very easily obtained utilizing the approaches of self-similar functions. In the light of relevant material's coefficients, the alterable rule of dynamic stress intensity factor was depicted very well. The correlative closed solutions are attained based on the Riemann-Hilbert problems. After those analytical solutions were applied by the superposition principle, the solutions of discretional complex problems could be attained.

Analytical Solutions of a Symmetrical Dynamic Crack Model of Bridging Fibers in Unidirectional Composites

“…By making some observations regarding the solution of the mixed boundary value problem we have rather decreased the amount of the computative work needed to resolve such a crack exte sion query. The techniques of self-similar functions are still applicable in studies of mode I semi-infinite crack [21][22][23]46], mode crack Ⅲ…”