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How to Set Up the Fluidity Parameter γ of the Hoek-Brown Model with the Softening Model In the framework of numerical analyses of geomaterials, one of the classical problems for modeling the development of shear bands is the pathological mesh-dependence of the computed solution which implies failure without energy dissipation. To avoid this unphysical behavior, an internal length must be introduced to govern the evolution of the shear band thickness in the post-peak regime of the material response. More specifically, it is well known that introducing too large a difference between the dilatancy angle and the equivalent friction angle will lead to a mesh-dependent solution which then will be almost systematically associated with: Numerical convergence difficulties, and Potentially convergence toward an incorrect solution. The numerical solution then becomes ill-posed and the conditioning of the numerical solution further worsen as the difference between the dilatancy angle and the friction angle increases or as the element size in which shear bands develop as a result of shear failure becomes smaller. In this context, the Hoek-Brown with softening (HBS) model uniquely proposes a feature to restore the mesh-objectivity of the numerical solution through a visco-plastic regularization based on the over-stress theory of Perzyna, thus enabling