ABSTRACT

This chapter generalizes the dynamical systems soil shear model to describe deformation along any stress path. The generalization states that for any stress path, particles move at random shear strains into the final structure corresponding to the applied stresses. In short, a friction based dynamical system describes all soil deformation including, one-dimensional consolidation, and, not just shear to failure and beyond to the steady-state condition. Movement of the soil particles into the final structure for any stress-path occurs as a random event independent of the strain for which the particle was not in this structure. The parameters of the dynamical system equations take on values appropriate to the stresses acting during soil deformation. As with shear to the steady-state condition, so too for the case of one-dimensional consolidation: load-bearing particles that have not moved into the applicable final structure determine behavior and parameter values.