Experimental Mechanics (2015) 55:761–769
DOI 10.1007/s11340-014-9975-y
Stress Network Analysis of 2D Non-Cohesive Polydisperse
Granular Materials using Infrared Thermography
C. Chaiamarit · X. Balandraud · I. Preechawuttipong ·
M. Gr´ ediac
Received: 18 March 2013 / Accepted: 3 December 2014 / Published online: 8 January 2015
© Society for Experimental Mechanics 2015
Abstract The objective of the study is to analyze the
hydrostatic stress network in two-dimensional cohesionless
polydisperse granular materials under confined compres-
sion. Infrared (IR) thermography and thermoelastic stress
analysis were used for this purpose. As model materi-
als, the granular media under study were composed of
cylinders made in POM polymer. Three cylinder diame-
ters were used to prepare different samples differing in
terms of the ratio between the numbers of cylinders of each
diameter. These samples comprised between 200 and 324
cylinders. The temperature variations due to thermoelastic
coupling under loading were measured on a cross-section
of the cylinder network using an IR camera. The process-
ing enabled us to identify the hydrostatic stress network in
the samples. Molecular dynamics (MD) simulations were
then performed to obtain a numerical network of hydro-
static stresses for each sample. The fields obtained from
IR experiments and MD simulations are rarely in agree-
ment, except in some zones of the sample. This was
expected as it is not possible to have exactly the same
geometrical configurations with both approaches. How-
ever, a good agreement is obtained in terms of statistical
distributions.
C. Chaiamarit · I. Preechawuttipong
Department of Mechanical Engineering, Faculty of Engineering,
Chiang Mai University, 239 Huay Kaew Rd., Muang District,
Chiang Mai 50200, Thailand
X. Balandraud () · M. Gr´ ediac
Clermont Universit´ e, Universit´ e Blaise Pascal,
Institut Franc ¸ais de M´ ecanique Avanc´ ee, Institut Pascal,
CNRS UMR 6602, BP 10448 63000 Clermont-Ferrand, France
e-mail: Xavier.Balandraud@ifma.fr
Keywords Granular material · Infrared thermography ·
Thermoelastic stress analysis · Hydrostatic stress
network · Molecular dynamics simulation
Introduction
Granular materials are employed in many engineer-
ing domains, for instance in geotechnical, agronomical,
pharmaceutical and chemical industries. Many subtances in
these industries are prepared from grains or powders. The
macroscopic mechanical behavior of a granular medium
is generally complex. Indeed, continuum mechanics is
not directly applicable and must be replaced by a grain-
scale (microscopic) description [1]. Many studies have
been undertaken over the last thirty years with the aim
of understanding the macroscopic behavior from simula-
tions at the scale of the particle network. Various param-
eters have been numerically investigated: the stiffness of
the contact between the particles, the particle shape, the
friction between particles, the cohesive or non-cohesive
character of the contacts, etc. In terms of experimental
approaches, some full-field measurement techniques have
been employed. Most of them are based on kinematic
data, either at the surface or in the volume of granu-
lar samples. For instance, the particle image velocimetry
technique is based on optical photography to analyze the
particle flows [2]. X-ray tomography has been used to
study the internal structure of deformation inside three-
dimensional (3D) granular media [3]. For the direct mea-
surement of contact forces, the carbon paper method can be
used in a two-dimensional (2D) section of a 3D granular
material [4]. Concerning stress measurement, photoelas-
ticimetry has been employed using particles which had the
property to become birefringent under mechanical load.