An Asymmetrical Self-Similar Dynamic Crack Model of Bridging Fiber Pull-Out in Unidirectional Composite Materials

Abstract

When composite materials produce a crack, their fibrous position will form bridges, moreover the crack usually propagates in the modality of asymmetrical self-similarity. In this paper an asymmetrical self-similar dynamic crack model of bridging fiber pull-out in unidirectional composite materials is built. Analytical solutions of the stresses, displacements, stress intensity factors and bridging fiber fracture speeds for this model under the action of moving loads and homogeneous loads, respectively, are acquired by self-similar measures. After those analytical solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be gained.