The textbook "Problems of Fracture Mechanics and Fatigue" offers a comprehensive analysis of fracture mechanics and material fatigue. It is aimed at professionals and students in engineering who wish to gain a deeper understanding of the mechanisms of material failure and the associated challenges in the design and analysis of machines and structures. The book covers the fundamental concepts of fracture mechanics, including the identification and assessment of material defects that may arise during manufacturing or operation. It explains how these defects affect the load-bearing capacity of structures and what criteria can be used to evaluate the safety and efficiency of designs. The authors, E.E. Gdoutos, C.A. Rodopoulos, and J.R. Yates, combine theoretical foundations with practical applications to convey a deep understanding of the challenges in materials science and engineering practice.