Abstract
Fatigue crack growth at near-threshold rates has been modeled using concepts previously suggested by Hornbogen and Zum Gar, Neumann and others. Crack tip opening displacement, the increment of crack advance, and crack tip strain are assumed to be dependent on the formation of slip lines at the crack tip. Slip line length and dislocation density are parameters in the model which are controlled by the microstructure. These concepts are used together with crack tip plasticity and crack growth information recently derived by Davidson and Lankford for aluminum alloys. The model may be used in two ways: to predict the increment of crack growth, if the slip line length is known, or the length of the slip line may be determined if the crack growth increment is measured. Crack tip plasticity data for 7075-T651 is used to evaluate the model, and the results obtained are compatible with the assumptions, and give a value of slip line length which is compatible with the mean free slip length in the material.
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