The science of fracture mechanics has important practical significance in engineering, since it provides a rational basis for the calculation of the strength of cracked structures and the determination of growth rates of cracks in fatigue. Its use enables components, which may contain crack-like flaws, to be designed with greater safety margins, thereby reducing the risk of in-service failures. This volume covers the numerical methods used in theoretical and applied fracture mechanics. Topics include: fundamentals of dynamic crack propagation, finite element analysis of cracked structures, and the modelling of fracture in concrete materials. Each chapter is written by an expert contributor and this volume should be of interest to postgraduate students.