Abstract：The allowable stress state of geomaterials is limited by critical state line. The plastic deviatoric deformation becomes larger and larger and geomaterials tend towards to damage，when the stress state of geomaterials is close to the critical state line. The opposite phenomenon appears when the stress state of geomaterials departs from the critical state line. This is one phenomenon of stress-induced anisotropy. Based on the anisotropy induced by the critical state line，the idea of transformation of stress space is presented. With reconstituted soils taken as an example，the formulas of transformation of stress space and stress increment are provided，and the influence of stress Lode’s angle is considered also. A new path is provided for constitutive description of geomaterials by transformation of stress space. The motion of yield surface and bounding surface with isotropic hardening or kinematic hardening is limited in the allowable stress space，and the stress-induced anisotropy and the influence of stress path can be considered reasonably in the transformed stress space.
