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Two Dynamic Fracture Problems Concerning Bridging Fiber Pull-Out of Composite Materials

By means of the built dynamic fracture model of bridging fiber pull-out of composite materials, the problems considered will be transformed into Riemann-Hilbert problem in terms of the theory of complex functions. Analytical solutions of the stresses displacements, dynamic stress intensity factors, strain energy release rate and bridging fibrous fracture speeds under the conditions of an moving increasing loads, Pt/x, Px2/t, respectively, can be facilely obtained by the approaches of self-similar functions. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems can be attained.