Abstract

Numerical stress analysis employing the dislocation-superposition technique is carried out for curved crack configurations resulting from tensile fatigue loading of titanium Ti-6A1-4V plate containing an oblique center-crack. It is discovered that the tangential rate of growth of the fatigue crack along its path can be correlated with the range of the amplitude of the singularity in maximum principal stress at the crack tip. This finding is analogous to characterizations of crack growth rate vs stress-intensity range for conventional transverse-crack specimens. In addition, the calculated direction of the principal axis can be used to predict the general trend of the tangential direction of crack growth. These results demonstrate the significance of mixed-mode experiments in the study of mechanisms of fatigue crack propagation. A hybrid stress finite element model is used to analyze a typical crack configuration resulting from cyclic growth of an oblique center-crack, and the relative efficiencies of this and the dislocation-superposition method for such calculations are discussed.

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