Elastoplastic material with isotropic damage

Bridging the macro to mesoscale: Evaluating the fourth-order anisotropic damage tensor parameters from ultrasonic measurements of an isotropic solid under triaxial stress loading

“…This paper is an extension of the seminal work by Cauvin and Testa (1999a, 1999b) where we consider the general case of anisotropic damage and relate the internal damage variables to experimentally measured damaged elastic moduli. An ongoing problem in continuum damage mechanics is the choice of the representation of the internal damage variables.…”

“…Different theories have been developed for the modelling of anisotropic 3D damage. We follow the approach of Cauvin and Testa (1999a, 1999b) and consider the most general case to represent anisotropic damage using a fourth-order damage tensor. Often simplifications are made to avoid using fourth-order damage tensors as they are not as easy to characterize physically when compared with a second-rank damage tensor or single scalar damage variable.…”

An anisotropic damage model of elasticity based on a series coupling method

“…Then some new scalar damage variables in terms of the reduction in the elastic modulus or elastic stiffness [4,5], the shear modulus, the bulk modulus, and the Poisson's ratio [6] are proposed. However, it has been shown that the damage path is somewhat too restrictive and not universal even among isotropic damage processes when using only one damage variable to describe the isotropic damage [7][8][9]. Two damage variables must be adopted in order to describe accurately and consistently the special case of isotropic damage.…”

“…Two damage variables must be adopted in order to describe accurately and consistently the special case of isotropic damage. Cauvin and Testa [8] used two scalar isotropic damage parameters D1 and D2 that do not have simple physical meanings, Tang et al [9] proposed different groups of two scalar isotropic damage parameters, for example, DE and Dν that represent the reduction of the elastic modulus and the Poisson's ratio, respectively.…”

Quantification of shear damage evolution in aluminium alloy 2024T3

“…In analysing the effect of damage on the mechanical properties of human cortical bone, shear damage has been characterised by degradation of the shear modulus [5] . Shear damage has also been defined by the degeneration of shear modulus [6,7] , while isotropic damage is characterised by two independent scalar damage variables; e.g., shear damage and bulk damage [7,8] .…”