Phase field modelling for fatigue design curve predictions whilst factoring in material variability

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Development of fatigue design curves, which are often referred to as S-N curves, can be a costly and time-consuming endeavour, requiring numerous samples to be tested to failure under differing cyclic loading stress amplitudes, stress concentration factors (K), and stress ratio (R). Fatigue testing produces highly scattered data due to material variability. Current standards, such as BS 7608, state that the design curve should be considered in favour of the base fatigue curve, The purpose of this study is to review existing methodology for the prediction of S-N curves via the use of phase field modelling techniques, and discuss the possibility to increase the scope beyond S-N curves, via introducing material variability, to produce a variety of data points allowing the fatigue design curve to be estimated.