In this study, a multi-physics finite element model is adopted to investigate the effect of geometric discontinuity
and stress concentration on the magnetic memory method (MMM). We propose a quadratic equation to fit the
stress magnetization constitutive relation in the model. The relation can be used to predict the abnormality of
the geometric discontinuity and the stress concentration. Simulation results show that the magnetization on the
wall of the groove is the weakest and that on the bottom of the groove is the maximum. The free boundary condition
releases the stress concentration of the defect. Although the magnetization induced by stress concentration
is weaker than geometric discontinuity, the signal characteristics can still be used to evaluate the defect and
the stress. This work proves that the MMM is a potential method for stress distribution assessment.