Revisiting some modeling of damage-friction-dilatancy coupling in cohesive interfaces

Abstract

The paper presents a revisitation and comparison of some interface model able to couple the damage evolution with the unilateral effect and the friction. In particular, the models derived from the initial interface Needleman proposal (Needleman, 1987) are reported and revised in a unified framework, introducing some novelties in their formulations. Then, the model proposed by Alfano and Sacco (Alfano and Sacco, 2006, Sacco and Toti, 2010) is illustrated and discussed. The responses of the investigated models are compared, illustrating the similarities and the differences. Moreover, the multiplane model proposed in Albarella et al. (2015), Serpieri et al. (2015) able to reproduce the dilatancy effect is presented, showing its performances and computing the dissipation during the loading history, useful information for many mechanical applications. The multiplane model is finally modified to account for a limited dilatancy in a new and physically clear way. Numerical applications are developed for the illustrated interface models for different loading histories.