**3. Conclusions and Outlook**

The present Special Issue is aimed at collecting original contributions on the new trends in computation methods, which address fatigue and fracture problems. Seven papers were selected to cover a wide variety of current trends and applications. The topics addressed demonstrate that the finite element method remains a powerful technique in this field. However, other advanced tools are immerging, such as the extended finite element method or the meshless methods. In addition, the topics collected demonstrate the richness and the potential of current computational methods to deal with complex fatigue and fracture problems from different perspectives, namely the simulation of crack propagation in gears, the prediction of crack paths in notched plates, the calculation of critical loads in notched components subjected to different loading histories, the improvement of mold design and minimization of casting defects, and the development of advanced mechanical systems subjected impact loading. However, since numerical simulation of fatigue and fracture phenomena involves a myriad of problems, there are still open challenges that need to be addressed in order to translate scientific research into practical and daily life applications. In this context, guested edited by the same team, a new Special Issue entitled "Numerical Methods Applied to Fatigue and Fracture Phenomena" (https://www.mdpi.com/journal/ metals/special\_issues/numerical\_fatigue\_fracture) will be launched in *Metals*, to collect and disseminate the future advances in these areas.

**Conflicts of Interest:** The authors declare no conflict of interest.
