Mechanics of Fatigue addresses the range of topics concerning damage, fatigue, and fracture of engineering materials and structures. The core of this resource builds upon the synthesis of micro- and macro-mechanics of fracture. In micromechanics, both the modeling of mechanical phenomena on the level of material structure and the continuous approach are based on the use of certain internal field parameters characterizing the dispersed micro-damage. This is referred to as continuum damage mechanics. The author develops his own theory for macromechanics, called analytical fracture mechanics. This term means the system cracked body - loading or loading device - is considered as a mechanical system and the tools of analytical (rational) mechanics are applied thoroughly to describe crack propagation until the final failure. Chapter discuss: opreliminary information on fatigue and engineering methods for design of machines and structures against failures caused by fatigue ofatigue crack nucleation, including microstructural and continuous models otheory of fatigue crack propagation ofatigue crack growth in linear elastic materials subject to dispersed damage ofatigue cracks in elasto-plastic material, including crack growth retardation due to overloading as well as quasistationary approximation ofatigue and related phenomena in hereditary solids oapplication of the theory fatigue crack growth considering environmental factors ounidirectional fiber composites with ductile matrix and brittle, initially continuous fibers olaminate composites Mechanics of Fatigue serves students dealing with mechanical aspects of fatigue, conducting research in fracture mechanics, structural safety, mechanics ofcomposites, as well as modern branches of mechanics of solids and structures.