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Abstract
Fatigue crack propagation along planar slip bands under a mixed mode loading is analyzed based on the micromechanical theory of fatigue crack nucleation proposed previously by the authors. Fatigue damage is systematically accumulated within the slip bands with increasing dislocation dipoles and the resulting strain energy density to be a critical value yields crack growth. The propagation rate is given as the crack growth distance in each step divided by the number of cycles to the formation of a new crack ahead of the old crack. The range of cyclic shear stress in a mixed mode acting on the slip plane directly controls the rate of damage accumulation, and the normal stress component provides an additional strain energy release to accelerate fatigue crack growth. The material parameters involved in the theory are the grain size, the dislocation friction stress, and the specific fracture energy. The theory is applied to Stage I fatigue crack growth observed in high-strength alloys, and it is further extended to the near-threshold growth of a long fatigue crack.
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