Endochronic Description of Sand Response to Static Loading

Abstract

The constitutive equation for cohesionless soil is developed within the framework of the endochronic theory of plasticity. It is found that three groups of internal state variables should be used to describe the complex behavior of soil. To each group of internal variables there corresponds an evolution equation for the variables and an intrinsic (endochronic) time. The theory is shown to predict essential features of the mechanical behavior of cohesion‐less soil under static loading conditions. These include: (1) The nonlinear volumetric response at isotropic consolidation; (2) densification due to the change in the deviatoric state; (3) the deviatoric response and its dependence on normal stress; and (4) the effects of unloading and reloading during isotropic consolidation and shearing.