Statistical theories for the elastic moduli of two-dimensional assemblies of granular materials

Nicolaas P. Kruyt; L. Rothenburg

doi:10.1016/S0020-7225(98)00003-2

Statistical theories for the elastic moduli of two-dimensional assemblies of granular materials

Nicolaas P. Kruyt, L. Rothenburg

Faculty of Engineering Technology

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Abstract

In this micro-mechanical study of the behaviour of granular materials, a minimum potential energy and a minimum complementary energy principle are derived for the elastic moduli of two-dimensional, bonded assemblies of particles. These extremum principles are used to obtain bounds on the elastic moduli. Statistical versions of these energy principles are developed. The theoretical results are verified by computer simulations using the discrete element method. Good agreement between theory and simulations is observed.

Original language	Undefined
Pages (from-to)	1127-1142
Journal	International journal of engineering science
Volume	36
Issue number	10
DOIs	https://doi.org/10.1016/S0020-7225(98)00003-2
Publication status	Published - 1998

Keywords

METIS-144585
IR-73810

Access to Document

10.1016/S0020-7225(98)00003-2

Cite this

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title = "Statistical theories for the elastic moduli of two-dimensional assemblies of granular materials",

abstract = "In this micro-mechanical study of the behaviour of granular materials, a minimum potential energy and a minimum complementary energy principle are derived for the elastic moduli of two-dimensional, bonded assemblies of particles. These extremum principles are used to obtain bounds on the elastic moduli. Statistical versions of these energy principles are developed. The theoretical results are verified by computer simulations using the discrete element method. Good agreement between theory and simulations is observed.",

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AU - Kruyt, Nicolaas P.

AU - Rothenburg, L.

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AB - In this micro-mechanical study of the behaviour of granular materials, a minimum potential energy and a minimum complementary energy principle are derived for the elastic moduli of two-dimensional, bonded assemblies of particles. These extremum principles are used to obtain bounds on the elastic moduli. Statistical versions of these energy principles are developed. The theoretical results are verified by computer simulations using the discrete element method. Good agreement between theory and simulations is observed.

KW - METIS-144585

KW - IR-73810

U2 - 10.1016/S0020-7225(98)00003-2

DO - 10.1016/S0020-7225(98)00003-2

M3 - Article

SN - 0020-7225

VL - 36

SP - 1127

EP - 1142

JO - International journal of engineering science

JF - International journal of engineering science

IS - 10

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