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        A path-dependent fatigue crack propagation model under non-proportional modes I and III loading conditions

        Mei, J.,Dong, P.,Kalnaus, S.,Jiang, Y.,Wei, Z. Pergamon Press 2017 Engineering fracture mechanics Vol.182 No.-

        <P><B>Abstract</B></P> <P>It has been well established that fatigue damage process is load-path dependent under non-proportional multi-axial loading conditions. Most of studies to date have been focusing on interpretation of S-N based test data by constructing a path-dependent fatigue damage model. This paper presents a two-parameter mixed-mode fatigue crack growth model which takes into account of crack growth dependency on both load path traversed and a maximum effective stress intensity attained in a stress intensity factor plane ( e . g . , <SUB> K I </SUB> - <SUB> K III </SUB> plane). By taking advantage of a path-dependent maximum range (PDMR) cycle definition (Dong et al., 2010; Wei and Dong, 2010), the two parameters are formulated by introducing a moment of load path (MLP) based equivalent stress intensity factor range ( Δ <SUB> K NP </SUB> ) and a maximum effective stress intensity parameter <SUB> K Max </SUB> incorporating an interaction term <SUB> K I </SUB> · <SUB> K III </SUB> . To examine the effectiveness of the proposed model, two sets of crack growth rate test data are considered. The first set is obtained as a part of this study using 304 stainless steel disk specimens subjected to three combined non-proportional modes I and III loading conditions (i.e., with a phase angle of 0°, 90°, and 180°). The second set was obtained by Feng et al. (2007) using 1070 steel disk specimens subjected to similar types of non-proportional mixed-mode conditions. Once the proposed two-parameter non-proportional mixed-mode crack growth model is used, it is shown that a good correlation can be achieved for both sets of the crack growth rate test data.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Presented a two-parameter mixed-mode fatigue crack growth model. </LI> <LI> Both load path dependency and mean stress effect are considered. </LI> <LI> Validated by non-proportional mixed mode I and III crack growth tests on 304 steel. </LI> <LI> Good correlations are achieved both for test data obtained in this study and from others. </LI> </UL> </P>

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