A Model to Forecast the Response of Concrete under Severe Loadings the μ Damage Model

AbstractAmong the “theories” applied to model concrete behavior, damage mechanics has proven to be efficient. One of the first models for concrete introduced within such a framework is Mazars’ damage model. A new formulation of such a model, called the “μ model”, is proposed herein for the purpose of 3D cyclic and dynamic loading, based on a coupling of elasticity and damage within an isotropic formulation. Unilateral behavior (i.e. the opening and closure of cracks) is introduced by the use of two thermodynamic variables. A threshold surface is then associated with each of these variables and strain rate acts on the initial threshold. Applications are presented on plain or reinforced concrete elements subjected to various loading (uni- and multi-axial, cyclic, dynamic). A comparison with experimental results demonstrates the effectiveness of the various selected options