Application of finite-part integrals to planar interfacial fracture problems in three-dimensional bimaterials

This paper deals with linear elastic fracture problems for a planar crack o n an interface between two dissimilar elastic half-space solids bonded toge ther. The finite-part integral concept is used to derive hypersingular inte gro-differential equations for the interfacial crack from the point-force s olutions for a bimaterial space. Investigations on the singularities and th e singular stress fields in the vicinity of the crack are made by the domin ant-part analysis of the two-dimensional hypersingular integrals. Thereafte r the stress intensity factor K-fields and the energy release rate G are ex actly obtained by using the definitions of stress intensity factors and the principle of virtual work, respectively. The results show that, unlike the homogenous case, the asymptotic fields always consist of all three modes o f fracture. Finally, some numerical examples of various aspects of elliptic al cracks subjected to constant pressures are given.