A general phase-field model for fatigue failure in brittle and ductile solids

Abstract In this work, the phase-field approach to fracture is extended model fatigue failure in high- and low-cycle regime. The energy degradation due repeated externally applied loads introduced as a function of local accumulation variable, which takes structural loading history into account. To end, novel definition variable proposed, allowing analysis at monotonic without interference extension, thus making framework generalised. Moreover, includes mean load influence implicitly. elastoplastic material with combined nonlinear isotropic kinematic hardening account for cyclic plasticity. ability proposed phenomenological naturally recover main features fatigue, including Paris law Wöhler curve under different ratios presented through numerical examples compared experimental data from author’s previous work. Physical interpretation additional parameter explored parametric study.