The area of material damage models has undergone a rapid development in the past few years. This is an extensive and comprehensive survey of one- and three-dimensional damage models for elastic and inelastic solids. The state-of-the-art is reported by about 200 references. The book not only provides a rich current source of knowledge, but also describes examples of practical applications, numerical procedures, and computer codes. The style of presentation is systematic, clear, and concise and is supported by illustrative diagrams.