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Pressure‐dependent elastic moduli of granular assemblies
Author(s) -
Liao Ching L.,
Chan Tian C.,
Suiker Akke S. J.,
Chang Ching S.
Publication year - 2000
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(200003)24:3<265::aid-nag65>3.0.co;2-x
Subject(s) - moduli , geotechnical engineering , elastic modulus , granular material , materials science , mechanics , composite material , geology , physics , quantum mechanics
Abstract Conventional homogenization theories developed for a matrix‐inclusion system cannot be used for deriving the pressure‐dependent elastic behaviour of a granular material. This is caused by the lack of a proper description of the high stress concentrations at the particle contacts. This paper discusses a more suitable homogenization theory, which follows from micro‐structural considerations at the particle level. Accord ingly, for an assembly of isotropically distributed, equal‐sized spherical particles, expressions for the pressure‐dependent shear modulus and the Poisson's ratio are derived. This is done for the case of hydrostatic compression. The derivation of these equations is based on the so‐called best‐fit hypothesis of the actual displacement field in the granular assembly. The usefulness of the equation derived for the shear modulus is illustrated via a comparison with experiment results. Copyright © 2000 John Wiley & Sons, Ltd.