International Journal for Numerical Methods in Engineering · 1996 · 1.4K citations · 11 references
EngineeringMaterials EngineeringMaterials ScienceComputational Materials ScienceMechanical Behavior Of MaterialsStructural MaterialsDamage MechanicsFracture MechanicsMaterial DegradationStrength Of MaterialsConstitutive Damage ModelingContinuum Damage MechanicsContinuum Damage ModelsDamage ModelingGradient Damage ModelsLocalization PhenomenaNonlinear Partial Differential EquationsNumerical Solutions Of Partial Differential Equations
Conventional continuum damage descriptions of material degeneration suffer from loss of well-posedness beyond a certain level of accumulated damage. As a consequence, numerical solutions are obtained which are unacceptable from a physical point of view. The introduction of higher-order deformation gradients in the constitutive model is demonstrated to be an adequate remedy to this deficiency of standard damage models. A consistent numerical solution procedure of the governing partial differential equations is presented, which is shown to be capable of properly simulating localization phenomena.
11