TY - JOUR
T1 - Pressure-dependent elastic moduli of granular assemblies
AU - Liao, C.L.
AU - Chan, T.C.
AU - Suiker, A.S.J.
AU - Chang, C.S.
PY - 2000
Y1 - 2000
N2 - 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. Accordingly, 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.
AB - 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. Accordingly, 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.
U2 - 10.1002/(SICI)1096-9853(200003)24:3<265::AID-NAG65>3.0.CO;2-X
DO - 10.1002/(SICI)1096-9853(200003)24:3<265::AID-NAG65>3.0.CO;2-X
M3 - Article
SN - 0363-9061
VL - 24
SP - 265
EP - 279
JO - International Journal for Numerical and Analytical Methods in Geomechanics
JF - International Journal for Numerical and Analytical Methods in Geomechanics
IS - 3
ER -