Continuous anisotropic damage as a twin modelling of discrete bi-dimensional fracture

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It proposed a beam–particle perform numerical characterization tests. Indeed, explicitly describes cracking by allowing displacement discontinuities and thus capture crack induced anisotropy quasi-brittle materials such as concrete. Through 2D simulations, evolution effective elasticity tensor for various loading tests, up failure, obtained. The analysis these tensors through bi-dimensional harmonic decomposition then performed estimate tensorial evolution. shown in quantitative manner that second order –instead fourth order– sufficient practice, even when micro-cracks are strongly interacting. As by-product present work we obtain upper bound distance orthotropic symmetry class elasticity.