This book brings together studies on fracture mechanics and its related disciplines, contributed by leading Ukrainian researchers. The book explores analytical, numerical, and experimental approaches to crack behavior, damage accumulation, and structural integrity across a range of materials and loading conditions. Topics include computational modeling of fracture processes, stability analysis of composite and piezoelectric materials, fatigue and residual stress effects, and the influence of environmental factors on crack propagation. By integrating theoretical advancements with practical applications, this book provides valuable insights for researchers, engineers, and professionals in structural mechanics and materials science.