A new interaction-based non local model to predict damage and failure in quasi-brittle materials

David Grégoire (1) , Laura B. Rojas-Solano (1) , Gilles Pijaudier-Cabot (1)

1 LFCR - Laboratoire des Fluides Complexes et leurs Réservoirs

The purpose of this paper is to discuss a new approach to non-local interactions during failure in quasi-brittle materials. It focuses on the estimation of the non-local weight functions directly from interactions. The materials is modeled as an assembly of inclusions and the elastic interactions upon dilation of each inclusion are computed in a similar way to a classical Eshelby's problem. A new interaction-based weight function is then built from these interactions. This new interaction- based non local model is validated on simple 1D problems and its performances are compared with the classical integral-type nonlocal model.

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

David Grégoire, Laura B. Rojas-Solano, Gilles Pijaudier-Cabot. A new interaction-based non local model to predict damage and failure in quasi-brittle materials. VIII International Conference on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS-8), Mar 2013, Toledo, Spain. ⟨hal-00828476⟩