Parametric hypoplasticity as continuum model for granular media: from Stokesium to Mohr-Coulombium and beyond

摘要

Fluid-particle systems, in which internal forces arise only from viscosity or intergranular friction, represent an important special case of strictly dissipative materials defined by a history-dependent 4th-rank viscosity tensor. In a recently proposed simplification, this history dependence is represented by a symmetric 2nd-rank fabric tensor with evolution determined by a given homogeneous deformation. That work suggests an essential physical link between idealized suspensions ("Stokesium") and granular media ("Mohr-Coulombium") along with possible models for the visco-plasticity of fluid-saturated and dry granular media.