TY - JOUR
T1 - Enhanced continua and discrete lattices for modelling granular assemblies
AU - Suiker, A.S.J.
AU - Borst, de, R.
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
U2 - 10.1098/rsta.2005.1586
DO - 10.1098/rsta.2005.1586
M3 - Article
C2 - 16243707
VL - 363
SP - 2543
EP - 2580
JO - Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences
SN - 1364-503X
IS - 1836
ER -