Pressure-dependent elastic moduli of granular assemblies

C.L. Liao, T.C. Chan, A.S.J. Suiker, C.S. Chang

Research output: Contribution to journalArticleAcademicpeer-review

44 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)265-279
Number of pages15
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number3
Publication statusPublished - 2000


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