This book is a collection of research work on the operations of fracture mechanics procedures in materials science, medicine and engineering. Major topics presented in this book highlight the strength of biological tissues, safety of nuclear reactor components, fatigue effects in pipelines, environmental effects on fracture etc. Also, the book includes mathematical and computational steps underlying the fracture mechanics operations, and also advancements in statistical modeling of fatigue. It will be most beneficial to mechanical and civil engineers, and material scientists from industry, research and education.