Evolving boundary effects in non local damage models: continuum to discrete transition

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

1 TEFC - Thermodynamique et Energétique des fluides complexes

The purpose of this paper is to discuss how boundary, and emerging boundary effects can be folded into a new non local damage formulation that provides a consistent transition towards discrete cracking. The goals of the presented modified non local formulation are twofold: (1) at the boundary of the solid, non locality should vanish; (2) when a crack has formed - i.e. when a band of damage close to 1 has been created, the constitutive relations should again be local in this band. By comparison to the modifications discussed in [1] which dealt with a boundary effect only, here we try to account also for boundary effects occurring when a new free surface has formed in the process of cracking.

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

Gilles Pijaudier-Cabot, David Grégoire, Laura Rojas Solano. Evolving boundary effects in non local damage models: continuum to discrete transition. IV European Conference on Computational Mechanics, May 2010, Paris, France. ⟨hal-00521838⟩