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Appendix: NOMENCLATURE

Material constants for the Dang Van-Papadopoulos model
Norm of the gradient vector for the hydrostatic stress
Amplitude of the second invariant of the stress deviator tensor
Subsurface model strain location number in a particular subsurface
strain path from the surface to a critical distance (i = n-I)
Subsurface model number of cycles and modified number of cycles to
failure at increment n
Subsurface model strain at a typical distance i and average strain at a
particular increment n under the surface
Subsurface model damage related to the strain gradient at each strain
increment and the modified damage parameter at increment n
Cycles to crack initiation
Maximum hydrostatic pressure during fatigue cycle
Nominal stress
Fully reversed tension-compression fatigue limit of smooth specimens
Effective distance and Weight function in Qilafku model
Effective strain energy density range
Material constant for Crossland criterion
Coordinates for defining the surface direction, subsurface radial
distance and the subsurface intersection plane, respectively.
Yield strength, Ultimate strength and Shear stress amplitude,
respectively