Study on the Effect of Residual Compressive Stress on Crack Propagation Based on XFEM

Abstract

Extended finite element method is developed in recent years. It is an effective numerical method to solve the discontinuous problem in conventional finite element framework. The jump function and the crack tip asymptotic displacement field function which can reflect the discontinuity of the crack surface are added in the conventional finite element displacement mode based on the idea of unit decomposition. It is effective to avoid the inconvenience caused by re-encrypting elements on the crack tip when do calculation of the fracture problem in conventional finite element method. In view of the characteristics of the residual compressive stress on the surface of the axle, the residual compressive stress in different directions was introduced before the crack growth. By controlling the initial residual stress, the thickness of the residual stress layer and the initial crack length, the stress intensity factors of the crack growth under different conditions are obtained. The results show that the residual stress, stress layer thickness and initial crack length have obvious influence on the crack growth.