Continuum to discontinuum transition during failure in non-local damage models

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 how boundary and emerging boundary effects can be folded into a new non-local damage formulation based on integral models that provides a consistent transition towards discrete cracking. Several enhancements of the original non-local damage model inspired from micromechanics of interacting defects are considered. The goals of the modified non-local formulation are threefold: (1) the distribution of damage at failure should be mesh independent; (2) the model should be able to capture the continuous/discontinuous transition involved in the process of failure due to increasing stresses; (3) the discontinuous displacements fields resulting from complete failure should be approached as closely as possible. A one dimensional example illustrates the capabilities of the original and enhanced models. It is found that a combination of increasing/decreasing interactions and non-local effects during failure provides the most suitable results.

Domaines: Mécanique [physics.med-ph]

David Grégoire, Laura B. Rojas-Solano, Gilles Pijaudier-Cabot. Continuum to discontinuum transition during failure in non-local damage models. International Journal for Multiscale Computational Engineering, 2012, 10 (6), pp.136. ⟨10.1615/IntJMultCompEng.2012003061⟩. ⟨hal-00680551⟩