An extensive and comprehensive survey of one- and three-dimensional damage models for elastic and inelastic solids. 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 throughout is systematic, clear, and concise, and supported by illustrative diagrams. The state of the art is given by some 200 references.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.Continuum Damage Mechanics basic concepts; Effect of isotropic damage evolution on (visco)plasticity; Three-dimensional anisotropic damage representation; Three-dimensional anisotropic damage accumulation; Coupled thermo-damage and damage-fracture fields; Creep damage and failure of simple structures; Axisymmetric heat transfer problems in damaged cylinders and disks; Creep-damage and failure of axisymmetric disks with shear effect included; Creep damage and failure analysis of thin axisymmetric plates; Two-dimensional coupled anisotropic creep-brittle damage and elastic-brittle failure problems; Formulation of optimal design under creep-damage conditions; Optimal design of axisymmetric disks; Optimal design of thin axisymmetric platesContinuum damage mechanics is a quickly developing branch of solid mechanics. Thermo-dynamical bases for it consists in an appropriate coupling between the constitutive equations for the basic material, evolution equations for micrcracks and microvoids growth and accumulation, and heat flux inlc<