Investigation To Bimaterials Interface Crack With Inclustion

The fundamental solutions for an infinite plate with an elliptical inclusion under uniaxial tensile stress are given by using the Muskhelishvili' complex potentials and progression method. With the aid of the obtained fundamental solutions and the continuity conditions of stress and displacement on material interface, complex potentials solutions for an bi-material infinite plate with an elliptical inclusion under pulling stress are given. By use of the stress free conditions on crack and the continuity conditions of stress and displacement on ideal bonded material interface, the stress field of an bi-material infinite plate with an elliptical inclusion and a deminfinite interface crack are given on the base of the complex potentials solutions obtained above. And the corresponding stress intensity factor K is given. The influence of the inclusion position, the shape and material of inclusion are given. And the different material combinations to the stress intensity factor K are calculated. The results indicate that the influences of the inclusion position and the material of inclusion to the stress intensity factor K are remarkable, and these influences vary notably with different material combinations. When the inclusion closes to the interface crack tip, the shield effect is occurred.The shape of inclusion has no influence on K nearly.