Using XFEM technique to predict the crack growth in the notched plate under high loading cyclic conditions

AbstractOur study delves into analyzing fatigue damage in notched structures, an essential field in structural mechanics. We aim to understand how geometric and dimensional variations in the notches affect fatigue damage under different modes and amplitudes of cyclic loading, focussing on the behavior of steel. Our research methodology integrates experimental and numerical approaches. Experimental validation encompasses material properties, mesh selection, and boundary conditions. The finite element method is tailored to address steel's elastoplastic behavior, employing calibrated parameters for kinematic and isotropic cyclic hardening models within the numerical realm. Specific findings elucidate the cyclic response of notched structures, tracking damage progression to critical thresholds, including the number of cycles to failure (Nf) and the critical crack length (Lc). Hysteresis curves vividly depict stress–strain relationships, offering insight into material behavior under cyclic loading. Implications span engineering domains, focussing on reliability and durability in the aerospace, automotive, and civil engineering sectors. Future directions include real-world applications and advanced techniques such as the Extended Finite Element Method (XFEM). In conclusion, this research enriches our understanding of fatigue damage analysis in notched structures, poised to impact safety and robust engineering design.Keywords: Hysteresis loopsNf (number of cycle at failure)LC (critical crack length)XFEM (eXtend finite element method)Thefatigue damagenotched structure AcknowledgmentsWe extend our sincere gratitude to all those who contributed to the development of this manuscript. The invaluable support and intellectual input of colleagues and mentors have been instrumental in shaping the ideas presented here.Disclosure statementNo potential conflict of interest was reported by the authors.