The extended boundary element analysis of stress fields of V-notched/cracked structures in bonded bimaterials

The extended boundary element method (XBEM) is employed to calculate the whole displacement and stress fields of the plane V-notched/cracked structure in a bonded bimaterial under different elastic modulus ratios. Firstly, the V-notched/cracked structure is divided into two parts, which are a small region around the notch tip and the outer region without the tip region. Then, the asymptotic series of the singular stress fields in the notch tip region are embedded with the boundary integral equation for the outer region without stress singularity. Numerical examples show the accuracy and effectiveness of the XBEM for obtaining the whole displacement and stress fields of the V-notched/cracked structure in bonded bimaterials. It is demonstrated that the notch/crack tip region of the V-notched/cracked structure in bonded bimaterials should choose reasonable eigen-pairs.