From Elasticity to Hypoplasticity: Dynamics of Granular Solids

Abstract

"Granular elasticity," useful for calculating static stress distributions in granular media, is generalized by including the effects of slowly moving, deformed grains. The result is a hydrodynamic theory for granular solids that agrees well with models from soil mechanics.

References in corpus (10)

• On dense granular flows
• A constitutive law for dense granular flows
• Granular flow down an inclined plane: Bagnold scaling and rheology
• The anisotropy of granular materials
• Ratcheting of granular materials
• Granular Elasticity without the Coulomb Condition
• Convective Nonlinearity in Non-Newtonian Fluids
• Calculation of the incremental stress-strain relation of a polygonal packing
• Energetic Instability Unjams Sand and Suspension
• Nonlinear Fluid Dynamics Description of non-Newtonian Fluids

Cited by in corpus (14)

• Granular Solid Hydrodynamics
• Well-posed continuum equations for granular flow with compressibility and $\mu (I)$-rheology
• Anisotropic nonlinear elasticity in a spherical bead pack: influence of the fabric anisotropy
• Granular Solid Hydrodynamics (GSH): a broad-ranged macroscopic theory of granular media
• Applying GSH to a Wide Range of Experiments in Granular Media
• Granular Gas: Vibrating Walls, Two-Peak Distribution and Hydrodynamics
• An Expression for the Granular Elastic Energy
• Period tripling causes rotating spirals in agitated wet granular layers
• Why Granular Media Are Thermal, and Quite Normal, After All
• Similarities between GSH, Hypoplasticity and KCR
• Proportional Paths, Barodesy, and Granular Solid Hydrodynamics
• Shock Wave Response of Porous Materials: From Plasticity to Elasticity
• Temperatures in Grains and Plasma
• Granular Solid Hydrodynamics (GSH): from Quasi-Static Motion to Rapid Dense Flow