METHOD TO CALCULATE STRESS INTENSITY FACTOR OF V-NOTCH IN BI-MATERIALS

Based on Zak’s stress function,the eigen-equation of stress singularity of bi-materials with a V-notch was obtained.A new definition of stress intensity factor for a perpendicular inter- facial V-notch of bi-material was put forward.The effects of shear modulus and Poisson’s ratio of the matrix material and attaching material on eigen-values were analyzed.A generalized ex- pression for calculating K;of the perpendicular V-notch of bi-materials was obtained by means of stress extrapolation.Effects of notch depth,notch angle and Poisson’s ratio of materials on the singular stress field near the tip of the V-notch were analyzed systematically with numerical simulations.As an example,a finite plate with double edge notches under uniaxial uniform ten- sion was calculated by the method presented and the influence of the notch angle and Poisson’s ratio on the stress singularity near the tip of notch was obtained.