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This lecture covers the stages of crack development, including nucleation and propagation, in the context of fatigue phenomenon at the material level. It discusses the influence of loading direction, plastic deformations, and material properties like anisotropy and crystallography. The lecture also explores scenarios of limited and infinite fatigue life, crack detection methods, and the impact of defects on fatigue behavior. Examples of fatigue tests, modeling of fatigue damage, and the role of microstructure are presented. Additionally, it delves into fatigue and fracture mechanics disciplines, stress analysis, and the effects of environment on fatigue propagation.