“…The table-lookup form is used because many materials, especially aluminum alloys, show sharp changes in the crack-growth-rate curves at unique values of rates. These sharp changes have been associated with monotonic and cyclic-plastic-zone sizes, grain sizes, and environments [Yoder, et al, 1982]. The Functional relations for geometry factors (F (a, w)) are given in the FASTRAN manual [Newman, 1992] [Ray & Patankar, 2001b], which is a cycle-by-cycle structural crack growth fracture mechanics computer program developed at the Air Vehicles Directorate of the United States Air Force Research Laboratory (AFRL), and is widely used to predict the fatigue life of components [Harter, 2003].…”