1. Introduction. 2. Cyclic Stress-Strain Response. Mechanical properties. Microstructure. Theories of hardening and softening. 3. Fatigue-Crack Nucleation. Stress near surface. Sites of crack initiation. Near-surface dislocation structures. Surface relief and its relation to near-surface dislocation structures. Mechanisms of crack nucleation. Factors influencing crack nucleation. 4. Fatigue-Crack Propagation. Kinetics of crack growth. Fracture mechanics for fatigue cracks. Quantitative description of fatigue-crack propagation rate and threshold. Properties of plastic zone. Models of fatigue-cracks propagation and thresholds. Effects of miscellaneous factors on the crack-propagation rate. 5. Fatigue-Life Curves. Fatigue-life curve &sgr;a versus &Ngr;f. Fatigue-life curve &egr;a versus &Ngr;f. Transformation of fatigue-life curves. Influence of cycle asymmetry. Hysteresis energy and fatigue life. Fatigue limit. Curves of constant damage. S/N curves of precracked bodies. Influence of temperature on fatigue life. 6. Notched Behaviour. Stress and strain concentration. Influence of notches on fatigue life. 7. Fatigue Life for Random Loading. Cyclic plasticity. Analysis of random variations of stress and strain. Prediction of fatigue life. References. Subject Index.