Crack growth rate under cyclic loading and effect of different singularity fields

Abstract The effect of two singularity fields: the HRR solution and a modified form of Rice's solution for the anti-plane shear, on the fatigue crack propagation are investigated. A unified crack growth rate equation is derived involving mechanical, cyclic, fatigue properties as well as a length parameter associated with the microstructure. The crack propagation model includes a function which demonstrates the effect of different types of singularity fields. The predictions of the rate of crack growth are compared with the experimental data of three different metals, and the agreement is found to be fairly good. It is shown that a broad class of the previously proposed crack growth relationships can be derived as a particular case of the present one.

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