We investigate the mechanical properties of inclined frictional granular layers prepared with different protocols by means of DEM numerical simulations. We perform an orthotropic elastic analysis of the stress response to a localized overload at the layer surface for several substrate tilt angles. The distance to the unjamming transition is controlled by the tilt angle with respect to the critical angle . We find that the shear modulus of the system decreases with , but tends to a finite value as $\alpha \to \alpha_c$. We also study the behaviour of various microscopic quantities with , and show in particular the evolution of the contact orientation with respect to the orthotropic axes and that of the distribution of the friction mobilisation at contact.

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