Modeling of the influence of density and pressure on sand deformation characteristics

Most sand constitutive models neglect the dependence of sand deformation behavior on both the density and the confining pressure. A new constitutive model was developed based on the state parameters, the virtual mobilized peak strength, the state dependent dilatancy and a hyperbolic relationship between the stress ratio and the plastic deviatoric strain. The model can represent sand deformations over a wide range of initial densities and confining stresses with only one set of model parameters. Numerical tests for drained and undrained stress pathes illustrate the model capability.