“…If the components undergo an oscillatory force, the cracks will propagate through the material that can lead to fatigue failure. This phenomenon is common in bolt and riveted joints, 2 spline coupling, 3 shrink-fit connections, 4 and dovetail joints. 5 Many researchers have focused on fretting fatigue and have endeavoured to reveal different aspects of this NOMENCLATURE: _ γ α ð Þ , slipping rate; _ a, reference strain rate; D L , small grain size; D mean , mean grain size; D R , large grain size; d reg , seed spacing in regular tessellation; F * , stretching and rotation; F P , plastic deformation; g (α) , current strength of the α slip system; g ∾ , saturation stress; g 0 , critical resolved shear stress; h 0 , initial hardening modulus; h αβ , slip hardening modulus; L P , plastic velocity gradient; m (α) , normal to slip plane unit vector; p crit , critical accumulated plastic slip; p cyc , stabilized accumulated plastic slip; P r , percentage of grains within the range; s (α) , slip direction unit vector; τ (α) , resolved shear stress on α slip system; F, deformation gradient; n, rate sensitivity exponent; N, fatigue life; p, accumulated plastic slip; α, slip system index; δ, minimum seed spacing; λ, regularity parameter phenomenon.…”