In order to define the plastic constraint factor(λ) for fatigue crack which initiate from notch root, crack opening/closing model based on the extended Dugdale's cohesive force model is shown. With this model, fictitious COD is calculated for half circler notch and half ellipse notch. From comparison of these fictitious COD and integrated value of plastic strain which are calculated by non-linear FEM analysis, when λ=1.11, these values present high consistency and fictitious COD can be characterized as integrated value of plastic strain (inherent displacement).