“…Here, ∆ K = K max – K min , where K max and K min are the maximum and minimum values of the stress intensity factor ( K ) in a cycle, ∆ K thr is the fatigue threshold, n and D are the material constants, and A is the apparent cyclic fracture toughness; see [ 21 ] for more details. The application of this formulation to a wide range of problems can be found in other journal papers [ 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ]. The relationship between this formulation and crack-closure-based crack growth equations [ 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 ] is presented in [ 55 ].…”