On the modeling of mixed-mode discrete fracture: Part II – Inclusion of dilatancy

Abstract

This manuscript contains the continuation of the work presented in “On the modeling of mixed-mode discrete fracture: part I – damage models”. After the introduction of several damage models within the scope of a discrete crack approach, dilatancy is included herein as an additional compliance of both deformation-based and traction based models. Due to the nature of the damage formulation, the total-secant stiffness is explicitly derived. As a consequence, this feature allows for the use of this model with non-iterative numerical methods, which are built upon the assumption of damage evolution. Several elementary results are presented together with the simulation of some experimental tests.