Proportional Paths, Barodesy, and Granular Solid Hydrodynamics

Abstract

Propotional paths as summed up by the Goldscheider Rule (GR) -- stating that given a constant strain rate, the evolution of the stress maintains the ratios of its components -- is a characteristics of elasto-plastic motion in granular media. Barodesy, a constitutive relation proposed recently by Kolymbas, is a model that, with GR as input, successfully accounts for data from soil mechanical experiments. Granular solid hydrodynamics (GSH), a theory derived from general principles of physics and two assumptions about the basic behavior of granular media, is constructed to qualitatively account for a wide range of observation -- from elastic waves over elasto-plastic motion to rapid dense flow. In this paper, showing the close resemblance of results from Barodesy and GSH, we further validate GSH and provide an understanding for GR.

28 pages, 8 figures

References in corpus (6)

• Granular Solid Hydrodynamics
• From Elasticity to Hypoplasticity: Dynamics of Granular Solids
• The propagation of Elastic Waves in Granular Solid Hydrodynamics
• An Expression for the Granular Elastic Energy
• The Critical State and the Steady-State solution in Granular Solid Hydrodynamics
• Granular Solid Hydrodynamics: Dense Flow, Fluidization and Jamming

Cited by in corpus (4)

• Granular Solid Hydrodynamics (GSH): a broad-ranged macroscopic theory of granular media
• Applying GSH to a Wide Range of Experiments in Granular Media
• Why Granular Media Are Thermal, and Quite Normal, After All
• Similarities between GSH, Hypoplasticity and KCR