Abstract:According to the theory of linear elastic fracture mechanics, the stress field at V-notch is singular, the stress value tends to infinity, and the peak stress cannot be directly used to evaluate the fatigue strength. By introducing the singular intensity factor "as", the semi-analytical formulas of edge crack notch stress distribution and notch stress intensity factor (N-SIF) were derived. Considering the factors such as opening angle and geometric size, a simple formula of notch stress evaluation was obtained based on singular intensity factor fitting, which can be used to quickly evaluate notch stress field and N-SIF value. Comparing the evaluation results of the simple formula with those of the finite element method and traditional literature, the results show that the simple formula in this paper can accurately predict the stress field and N-SIF value on the bisector of a single V-notch angle under tensile load, thus realizing the rapid evaluation of the stress field of notch samples.