Rock joint constitutive modelling is discussed through two new rock joint constitutive relations and a discrete numerical model. Regarding the constitutive relations, we emphasise the number of " tensorial zones " , i.e. domains of constitutive incremental linearity, they involve: four zones for the first (called " quadrilinear "), and an infinite number for the second one (called " incrementally nonlinear "). Using these formulations, a large class of loading paths can be considered. Hardening through shearing and relations between the normal and tangential directions of the joint (e.g., dilatancy), can be described. Their predictive abilities are checked. Plastic features are included even if the relations are defined outside of the elasto-plastic formalism. These relations obey hence the physical evidences as the plastic limit criterion and flow rule. The flow rule is nonassociated, and the corresponding link with the nonsymmetry of the constitutive matrix is examined. Comparisons between the two relations and the discrete numerical model, i.e. a direct numerical simulation which is fundamentally different, are also discussed within the context of infilled rock joints.