“…That is, Equation can be given by Furthermore, from the viewpoint of the stress‐dependent theory, the interior damage process can be described by a power function relation, ie, the function f ( σ ; p )is indicated by a fitting parameter q whose magnitude is related to applied stress level. The value of q i at σ i is expressed as where 2/ σ b is the coefficient and the value of σ b represents the value of tensile strength at one cycle. Moreover, in the VHCF regime with lower stress, the net nominal stress in the crack plane should be less than 80% of the yield strength σ s , so Equation can be rewritten as Therefore, the interior damage process at σ i can be expressed as Based on the concept of equivalent damage, for a multilevel loading, if the damage curves and final fatigue lives at all applied σ levels, as well as the applied cycles at previous σ levels, are known, so the residual life at the last σ level can be obtained.…”