Based on the surface local plastic deformation,the variation of crack tip yielding stress in small crack stages were introduced. Because of the lower level of the crack tip yielding stress corresponding to small crack stage,the opening stress of small crack will change from a lower level to its ordinary value.Besides ,the description of the crack propagation with two parameters (the SIF range and T stress term in the Williams series) can explain the fatigue properties of the small cracks,which shows that t...