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alloy steels aluminium alloys aluminium bronze applied stress approach assuming Chapter closure-free components constant corrosion fatigue crack closure crack faces crack front crack growth rate Crack Growth Threshold crack length crack propagation crack tip cyclic da/dN decrease defined EMAS Engineering Fracture Mechanics Engineering Materials environment equation failure Fatigue Crack Growth fatigue limit Fatigue of Engineering Fatigue Thresholds frequency grain boundary grain size Growth Threshold Concepts growth-rate curve increase Kitagawa Kmax LEFM load shedding long cracks martensite Materials and Structures Materials Science measured threshold metal Metallurgical Transactions method microstructural mild steel mm/cycle near-threshold region non-propagating cracks number of cycles occur overload oxide parameter pearlite plastic zone plot predicted problem random loading reduction relatively residual stress Ritchie short cracks short-crack behaviour shown in Figure shows specimen stress field stress intensity superalloys Suresh temperature tend testing threshold stress threshold values TMS-AIME typical underloads variation Warley yield strength