Skrzypek J.J., Ganczarski A. Modeling of Material Damage and Failure of Structures: Theory and Applications

Springer-Verlag Berlin Heidelberg, 1999. — 326 p.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.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 axisymmetric 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 plates