Dynamic Propagation Problems on the Edges of the Crack of Composite Materials Subjected to Variable Loads Pxmtn

Abstract

When composite materials appear cracked, their fibrous position forms a bridge. Dynamic propagation problems on bridging fibers of composite materials are not probed as deeply in virtue of the complexity and difficulty of the mathematical operations. By the methods of the theory of complex functions, the problems discussed can be facilely transformed into Remann-Hilbert problems. Utilizing the built dynamic models and self-similar measures, analytical solutions of the displacements, stresses, and stress intensity factors of propagation crack under the action of variable loads Pxmtn are attained. After those analytical solutions were utilized by a superposition theorem, the solutions of arbitrary complex problems were acquired.