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              <p>Doubtlessly, for assessing the integrity and the strength of concrete structures to environmental attacks it wouldbe ideal to model the transition between diffuse damage and a discontinuous description. We propose, in afirst approach, to extract an equivalent crack opening using a non local Mazars’ damage model. We consider adiscontinuous displacement field with a given jump [U] from which we compute the equivalent non local strain ε([U]) governing the damage variable in Mazars’ model. Besides, from a classical FE computation, we obtaina distribution of the state variable ε FE with the same shape due to the non local weight function. Finally thedisplacement jump is computed by setting ε([U]) = εFE at the discontinuity. The proposed approach is appliedon a tension rod with an error measure between both solutions to evaluate how the non local solution approachesasymptotically the representation of a discontinuity. Results show good agreement for large damage.</p>
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