Dissipation functions and yield conditions for geological materials with internal constraints
General framework of modeling plasticity in geological materials with internal constraints is discussed in this paper. A family of plastic dissipation functions devoted to soil and rock mechanics is proposed. Present paper is a generalization of Drucker-Prager model and earlier author’s papers, which has dealt with incompressible metals. The proposed functions are dependent on the three invariants of the plastic strain rate tensor and material parameters. In the space of principal plastic strain rates the curves of constant dissipation have three axes of symmetry in the deviatoric plane. Internal kinematical constraints in the material are utilized. Using the potential constitutive law the constitutive relation for material is derived. Obtained yield surfaces have a conical shape in the spectral stress space. The failure surfaces have three axes of symmetry in the deviatoric plane cross-sections. The deviatoric cross-section curves of the failure surface may change from equilateral triangle through the circle and then to the equilateral triangle oriented in the opposite way.
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