| The problems of interfacial fracture or debonding exist widely in various structure and natural phenomenon. From the point of view of fracture analysis, it hinders the application of fracture mechanics method that the singularity of stress oscillation always exists in classic fracture model. This thesis analyses the single interfacial dislocation field in order to determine periodically interfacial dislocations field, and handles interfacial fracture problems of two kinds of interfacial debonding with the modified Dirac function model based on the equivalence between physical picture and pileup of dislocations during variety loaded on crack. It obtained the first Cauchy integral equation and avoided image term in the singular parameters from the point of view of mathematics forms; it obtained fixed fracture mixity and overcome the conclusion at variance with objective reality that material mutually penetrating at crack tip.Main conclusions are as follows:1) The method of directly creating model with the solution of periodically interfacial dislocations is better than that of boundary value problems from the point of view of crack body, the latter method is very tediously long, but the former method can obtain the mathematics forms of fracture boundary value with only several steps.2) It obtained fixed interfacial fracture parameter with the modified Dirac function, and overcome the singularity of stress oscillation.3) The debonding efficiency of inner stress release mechanism is better than that of uniformed normal load. |