**1. Introduction and Scope**

Fatigue and fracture are pivotal issues in structural integrity. This area of research has attracted much attention over the last years, especially in regard to the main failure mechanisms, the understanding of which is pivotal to developing more durable and more reliable components. Modern numerical methods have been a strong ally in the improvement of current methodologies to assess the integrity of safety-critical components. Moreover, the permanent tendency to shorten time-to-market periods and to reduce overall costs faced by current industry is an additional ingredient for developing alternative simulation approaches because they allow high efficiency at the lowest possible cost. This Special Issue aims to focus on the new trends in computation methods to address fatigue and fracture problems. In this volume, seven papers addressing different research topics have been collected.
