Constitutive model of coupled damage-plasticity and its finite element implementation

Abstract

Dans ce travail on présente un cadre théorique général du développement des modèles de couplage de deux types de comportement anélastique, la plasticité et l'endommagement. On introduit la nouveauté principale par rapport aux modèles précédents de ce type en utilisant un critère pour définir le domaine élastique valable aussi bien pour la plasticité que pour l'endommagement, qui peut être adopté pour une grande variété des matériaux, d'une part pour les metaux poreux et d'autre part pour le béton en compaction. L'implantation numérique est d'abord présentée pour un cas unidimensionnel simple et ensuite généralisée pour les critères 2D et 3D, pertinents à des métaux ou des bétons.

Coupled damage-plasticity constitutive model and direct stress interpolation

“…For any such case, the minimum requirement we need for representing with irreversible deformation and change of elastic response leads to a coupled damageplasticity model [7,10,13,17]. The class of coupled damageplasticity models studied in this work is even more general from the initial models of this kind proposing plasticity criterion in terms of damage-modified effective stresses [7,10,17] in that it accommodates the independent criteria, the first for triggering the evolution of the irreversible deformation as opposed to the second governing the evolution of the elastic response modification [4,6]. The main objective of this work is to discuss the theoretical formulation of such a coupled damage-plasticity model, as well as the numerical implementation.…”

“…In the next section we briefly recall the governing equations of the coupled damage-plasticity model [4,6] and its novel stress-based variational formulation. In Sect.…”

Stable splitting scheme for general form of associated plasticity including different scales of space and time

“…8 The mechanism of interest described by internal variables in this paper is plasticity but the demonstration remains valid for all other local mechanisms that follow the type of equations we describe in this paper (e.g. damage [5] or coupled damage-plasticity [26]). …”

“…Note that in (26) we have considered homogeneous Dirichlet boundary conditions and left out the inertial effects, which are unimportant for the considerations presented herein.…”

On numerical implementation of a coupled rate dependent damage‐plasticity constitutive model for concrete in application to high‐rate dynamics

“…Indeed, this model improves upon the Drucker-Prager [4] yield surface which is often used for concrete with consequences that the material remains elastic for triaxial compression, which is in contradiction with the compaction experimentally observed [3]. The main interest in the modified Gurson's yield function is to be closed for a hydrostatic state of stress and to provide a kind of CAP model [9], [10] or [11].…”