A thermomechanical breakage model for shock-loaded granular media

A constitutive model is developed for dry granular materials that smoothly transitions across a wide range of pressures and temperatures. This model handles large deformations and is thermomechanically consistent. Ideas from critical-state soil mechanics, which model granular media at relatively low...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 2020-04, Vol.137 (C), p.103813, Article 103813
Main Authors: Herbold, E.B., Homel, M.A., Rubin, M.B.
Format: Article
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Constitutive equations
Constitutive model
Constitutive models
Constitutive relationships
Critical state
ENGINEERING
Equations of state
Free energy
GEOSCIENCES
Granular material
Granular materials
Granular media
Low pressure
Mathematical models
MATHEMATICS AND COMPUTING
Shock loading
Silicon dioxide
Soil compaction
Soil mechanics
Thermomechanical
Thermomechanical analysis
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Summary:A constitutive model is developed for dry granular materials that smoothly transitions across a wide range of pressures and temperatures. This model handles large deformations and is thermomechanically consistent. Ideas from critical-state soil mechanics, which model granular media at relatively low pressure via a breakage model, are combined with an equation of state for shock-loaded solids to investigate the compaction of initially unconsolidated brittle granular materials. The resulting constitutive equations provide a fully-coupled model containing a natural transition between granular and solid states through the Helmholtz free energy. The model is calibrated to data with a wide range of pressures and strain rates for Ottawa sand and silica and predictions of the model are compared with static compaction, penetration, and shock-loading results. The difference in Hugoniot temperatures between this calibrated model and a “snow-plow” model are negligible for pressures greater than 8 GPa; well below incipient melting.
ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2019.103813