How to extract a crack opening from a continuous damage finite-element computation?
Résumé
Doubtlessly, for assessing the integrity and the strength of concrete structures to environmental attacks it would
be ideal to model the transition between diffuse damage and a discontinuous description. We propose, in a
first approach, to extract an equivalent crack opening using a non local Mazars’ damage model. We consider a
discontinuous 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 obtain
a distribution of the state variable ε FE with the same shape due to the non local weight function. Finally the
displacement jump is computed by setting ε([U]) = εFE at the discontinuity. The proposed approach is applied
on a tension rod with an error measure between both solutions to evaluate how the non local solution approaches
asymptotically the representation of a discontinuity. Results show good agreement for large damage.
Domaines
Physique [physics]Origine | Fichiers produits par l'(les) auteur(s) |
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