Modeling of Material Damage and Failure of Structures: Theory and Applications (Foundations of Engineering Mechanics)

Continuum 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 in partly damaged solids. The book provides, in a systematic and concise way, a broad spectrum of existing and current constitutive models for isotropic or anisotropic continuum damage evolution in solids, as well as the constitutive equations for inelastic time-dependent solids in the presence of damage. Particular attention is paid to creep- and creep-like damage in high temparature structural members subject to mechanical and thermal loadings. The effective numerical procedures and computer methods are adopted and developed for classical and non-classical creep damage accumulation, when microcrack orientation change with time, resulting in non-stationary mechanical and thermal fields. Front Matter....Pages i-xi Front Matter....Pages 1-1 Continuum damage mechanics: basic concepts....Pages 3-20 Effect of isotropic damage evolution on (visco)plasticity....Pages 21-68 Three-dimensional anisotropic damage representation....Pages 69-102 Three-dimensional anisotropic damage accumulation....Pages 103-134 Coupled thermo-damage and damage-fracture fields....Pages 135-158 Front Matter....Pages 159-159 Creep damage and failure of axisymmetric structures....Pages 161-170 Axisymmetric heat transfer problems in damaged cylinders and disks....Pages 171-187 Creep-damage and failure of axisymmetric disks with shear effect included....Pages 189-202 Creep damage and failure analysis of thin axisymmetric plates....Pages 203-221 Two-dimensional coupled anisotropic creep-brittle damage and elastic-brittle failure problems....Pages 223-243 Front Matter....Pages 245-245 Formulation of optimal design under creep-damage conditions....Pages 247-256 Optimal design of axisymmetric disks....Pages 257-280 Optimal design of thin axisymmetric plates....Pages 281-292 Back Matter....Pages 293-326 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.

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.