“…According to the above industrial requirements, many theoretical, 11,14–21 experimental, 10,11,22–32 and computational 33–55 studies on fatigue crack propagation have been carried out. Notably, several important computational studies have been performed in this area using computing methods like the element‐free Galerkin method, 33,34 the free mesh method 35,36 (both are the pioneering works of the computational fatigue crack propagation), the extended finite element method (X‐FEM, the initial stage, 37–40 the development and the implementation 44–50 of crack modeling 41–43 ), the smoothed finite element method, 51,52 and phase‐field modeling 53–55 (which challenge the new approach by using the FEM framework), and so on.…”