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Theoretical modelling of fatigue threshold for aluminium alloysby: Xu-Dong Li, L. Edwards
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AbstractThe fatigue limit of aluminium alloys is logically modelled as edge dislocations against grain boundaries. A fictitious shear crack is envisioned to represent the fatigue limit condition. By using continuous configuration in the dislocation pile-up, the crack tip sliding displacement can be determined for the shear crack and the fatigue limit is attained when the shear crack is just onset to grow across the grain boundary. The fatigue crack growth threshold [Delta]Kth is simulated to be composed to two components: the microstructural threshold [Delta]Kthi and the physical threshold [Delta]Kthc. Crack tip blunting is considered, regardless of closure mechanisms, to be a fundamental physical phenomenon associated with the fatigue crack growth threshold. The [Delta]Kth condition is modelled as no microcrack initiation occurs at the blunted crack front. As a result, a micromechanical model is developed that predicts the [Delta]Kth at different load ratios without invoking crack closure. A novel feature of the model is that the fatigue crack growth threshold can be predicted in terms of mechanical and cyclic fatigue properties. The model also shows a strong dependence of the fatigue crack growth threshold of aluminium alloys upon local microstructure. Finally, consistent predictions of [Delta]Kth are demonstrated for aluminium alloys.
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