International audienceAnisotropic damage thermodynamics framework allows to model the concrete-like mate- rials behavior and in particular their dissymmetric tension/compression response. To deal with dynamics applications such as impact, it is furthermore necessary to take into account the strain rate effect observed experimentally. This is done in the present work by means of anisotropic visco-damage, by introducing a material strain rate effect in the cases of posi- tive hydrostatic stresses only. The proposed delay-damage law assumes no viscous effect in compression as the consideration of inertia effects proves sufficient to model the apparent material strength increase. High-rate dynamics applications imply to deal with wave prop- agation and reflection which can generate alternated loading in the impacted structure. In order to do so, the key concept of active damage is defined and introduced within both the damage criterion and the delay-damage evolution law. At the structural level, strain localization often leads to spurious mesh dependency. Three-dimensional Finite Element computations of dynamic tensile tests by spalling are presented, with visco-damage and either without or with non-local enhancement. Delay- damage, as introduced, regularizes the solution in fast dynamics. The location of the macro-crack initiated is found influenced by non-local regularization. The strain rate range in which each enhancement, delay-damage or non-local enhancement, has a regularizing effect is studied

High dynamic loadings lead to material degradation and structural failure. This is even more the case for concrete structures where the parts initially in compression break in tension due to waves propagation and reflection. The dissymmetry of the material behavior plays a major role in such cases, dissymmetry mainly due to damage induced anisotropy. Loading induced damage is most often anisotropic and one proposes here to take advantage of such a feature to build a damage model for concrete, dissymmetric in tension and in compression, 3D, suitable for dynamic computations. A single 2nd order tensorial damage variable D D D is considered with a damage law ensuring a damage rate proportional to the square of the positive part of the strain tensor. One focus in the present work on viscous regularizations for the anisotropic damage model proposed, regularizations of Norton-Perzyna type. Numerical examples of dynamic failures illustrate the ability and the efficiency of the model to deal with 3D structures. RÉSUMÉ. Lors d'un chargement de dynamique transitoire sur une structure en béton, il n'est pas rare d'avoir des réflexions d'ondes de compression qui en devenant des ondes de traction peuvent provoquer la rupture. La dissymétrie du comportement joue alors un rôle majeur, dissymétrie principalement due à l'endommagement anisotrope induit. Nous considérerons donc un modèle d'endommagement pour le béton, 3D, capable de représenter cette dissymétrie et adapté aux chargements dynamiques. Nous considérerons une variable d'endommagement tensorielle d'ordre 2, D D D, avec une loi d'évolution proportionnelle à la partie positive du tenseur des déformations. Le travail présenté ici traite plus particulièrement de la régularisation visqueuse du modèle d'endommagement anisotrope proposé ainsi que son traitement numérique. Un exemple de calcul de structure montre la pertinence et l'efficacité du modèle.