A Simple Concrete Damage Model for Dynamic FEM Applications

A simple damage model for concrete is presented. The basic version of the model is a combination between the elastic-damage part of the elastoplastic-damage model of Faria & Oliver and the damage theory of Mazars. This basic version of the model takes into account most of the basic traits of concrete under monotonic static and dynamic loading, like the different response under compression and tension, the stiffness reduction with the increase of external loading and the appearance of softening behavior. This model is further enhanced with a sensitivity to the rate of loading and the ability to simulate cycling behavior, characteristics which are necessary for general cases of dynamic loading. The main advantages of this model are the employment of only one damage parameter and the investigation of the damage state in concrete under static or dynamic loading. The model is implemented into a general three-dimensional finite element program capable of treating static and general dynamic problems. The validation and performance of the proposed model is demonstrated by characteristic numerical examples.