Integral-type regularization of non associated softening plasticity for quasi brittle materials

Within the framework of infinitesimal elasto-plasticity for describing concrete behaviour, this paper pro-poses a new non-local constitutive model. Particularly, a non-local integral-type regularization techniqueis applied to the three-invariant Menétrey-Willam model, here modified by the inclusion of a non-associated flow rule. The resulting model allows for taking into account the role of the intermediate prin-cipal stress and the Lode parameter, as well as to control inelastic dilatancy. A regularization scheme ishence introduced to circumvent strain localization and resolve the incapability of objectively describinglocalized material failure. One- and three-dimensional Finite Element analyses are developed to prove thesoundness of the novel implemented regularized scheme and the upgraded response with respect to alocal approach.