*Review* **Fatigue Crack Growth Analysis with Extended Finite Element for 3D Linear Elastic Material**

**Yahya Ali Fageehi**

> Mechanical Engineering Department, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia; yfageehi@jazanu.edu.sa

**Abstract:** This paper presents computational modeling of a crack growth path under mixed-mode loadings in linear elastic materials and investigates the influence of a hole on both fatigue crack propagation and fatigue life when subjected to constant amplitude loading conditions. Though the crack propagation is inevitable, the simulation specified the crack propagation path such that the critical structure domain was not exceeded. ANSYS Mechanical APDL 19.2 was introduced with the aid of a new feature in ANSYS: Smart Crack growth technology. It predicts the propagation direction and subsequent fatigue life for structural components using the extended finite element method (XFEM). The Paris law model was used to evaluate the mixed-mode fatigue life for both a modified four-point bending beam and a cracked plate with three holes under the linear elastic fracture mechanics (LEFM) assumption. Precise estimates of the stress intensity factors (SIFs), the trajectory of crack growth, and the fatigue life by an incremental crack propagation analysis were recorded. The findings of this analysis are confirmed in published works in terms of crack propagation trajectories under mixed-mode loading conditions.

**Keywords:** XFEM; ANSYS mechanical; smart crack growth; stress intensity factors; LEFM; fatigue life prediction
