The hardening soil model: Formulation and verification

A new constitutive model is introduced which is formulated in the framework of classical theory of plasticity. In the model the total strains are calculated using a stress-dependent stiffness, different for both virgin loading and un-/reloading. The plastic strains are calculated by introducing a multi-surface yield criterion. Hardening is assumed to be isotropic depending on both the plastic shear and volumetric strain. For the frictional hardening a non-associated and for the cap hardening an associated flow rule is assumed. First the model is written in its rate form. Therefor the essential equations for the stiffness modules, the yield-, failure- and plastic potential surfaces are given. In the next part…