Abstract:A new way to determinate the singularity stress field near the V-notch tip in bonded bi-materials by the boundary element method is proposed. A small sector around the V-notch tip is dug out from the V-notch structures. The displacements and stresses in this small sector are expressed as the linear combinations of finite terms of the series expansion with several singularity orders. The combination coefficients are the generalized stress intensity factors of the V-notch. Then the expressions of displacements and stresses are substituted into the boundary integral equations which are established in the V-notch structures without the tip sector. The combination coefficients can be obtained by solving the discretized boundary integral equations. Two examples demonstrate the efficiency of the present method.