Granular Matter (2012) 14:469–482
DOI 10.1007/s10035-012-0353-0
ORIGINAL PAPER
Three dimensional fabric evolution of sheared sand
Alsidqi Hasan · Khalid Alshibli
Received: 14 February 2011 / Published online: 5 May 2012
© Springer-Verlag 2012
Abstract Granular particles undergo translation and rolling
when they are sheared. This paper presents a three-dimen-
sional (3D) experimental assessment of fabric evolution of
sheared sand at the particle level. F-75 Ottawa sand speci-
men was tested under an axisymmetric triaxial loading con-
dition. It measured 9.5 mm in diameter and 20 mm in height.
The quantitative evaluation was conducted by analyzing 3D
high-resolution x-ray synchrotron micro-tomography images
of the specimen at eight axial strain levels. The analyses
included visualization of particle translation and rotation,
and quantification of fabric orientation as shearing continued.
Representative individual particles were successfully tracked
and visualized to assess the mode of interaction between
them. This paper discusses fabric evolution and compares
the evolution of particles within and outside the shear band
as shearing continues. Changes in particle orientation dis-
tributions are presented using fabric histograms and fabric
tensor.
Keywords Sand · Particles · Fabric ·
Synchrotron micro-tomography
Electronic supplementary material The online version of this
article (doi:10.1007/s10035-012-0353-0) contains supplementary
material, which is available to authorized users.
A. Hasan (B )
School of Civil and Resource Engineering, The University
of Western Australia, Room 2.20 Civil & Mechanical Engineering
Building, Crawley, WA 6009, Australia
e-mail: alsidqi.hasan@uwa.edu.au
K. Alshibli
Department of Civil and Environmental Engineering, University
of Tennessee, 73A Perkins Hall, Knoxville, TN 37996, USA
e-mail: alshibli@utk.edu
1 Introduction
The overall strength and deformation characteristics of gran-
ular materials are highly influenced by many factors such
as particle morphological properties (roughness, shape, and
sphericity), fabric, particle-to-particle interaction, boundary
conditions, loading mode, and applied stresses. The fabric
or structure of soils is defined as the arrangement of parti-
cles, particle groups, and the associated pore space [21]. The
fabric of soils has a profound influence on engineering prop-
erties of soils. Granular particles transmit forces to adjacent
particles and to boundaries during shearing, which results in
particle rearrangements and fabric evolution. Most classical
stress-dilatancy models take into account translation mech-
anism and ignore particle rotation/rolling, e.g. [31]. Recent
constitutive theories, e.g. [3, 33], incorporated particle rota-
tion factors into the constitutive models to better predict the
behaviour of granular materials.
The literature lacks three-dimensional (3D) experimen-
tal measurements of the fabric evolution of sheared gran-
ular materials at the particle level. As a result, many
researchers used discrete element method (DEM) to quantify
particle translation and rolling. For example, Bardet [10] con-
ducted DEM simulations with idealized spherical particles
and showed that the particles rotate during shearing, and such
rotations significantly affect the shear strength. Oda et al. [27]
introduced resistance against free rotation into DEM simu-
lations of spherical particles and showed that some rotations
still exist, especially within the shear band. Furthermore,
Shodja and Nezami [32] performed DEM simulations on
biaxial compression using oval granules and concluded that
rolling is an important mechanism during shear. The number
of rolling contacts was larger than the translation contacts,
especially for higher inter-granular friction angles. Experi-
mental visualization of particles during shearing using the
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