Enhanced continua and discrete lattices for modelling granular assemblies

A.S.J. Suiker, R. Borst, de

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24 Citations (Scopus)

Abstract

This article discusses the derivation of continuum models that can be used for modelling the inhomogeneous mechanical behaviour of granular assemblies. These so-called kinematically enhanced models are of the strain-gradient type and of the strain-gradient micro-polar type, and are derived by means of homogenizing the micro-structural interactions between discrete particles. By analysis of the body wave dispersion curves, the enhanced continuum models are compared to corresponding discrete lattice models. Accordingly, it can be examined up to which deformation level the continuum models are able to accurately describe the discrete particle behaviour. Further, the boundary conditions for the enhanced continuum models are formulated, and their stability is considered. It is demonstrated how to use the body wave dispersion relations for the assessment of stability. © 2005 The Royal Society.
Original languageEnglish
Pages (from-to)2543-2580
JournalPhilosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences
Volume363
Issue number1836
DOIs
Publication statusPublished - 2005

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