Contents lists available at ScienceDirect
International Journal of
Rock Mechanics & Mining Sciences
journal homepage: www.elsevier.com/locate/ijrmms
Technical Note
The shape effect on the morphology of the fracture surface induced by the
Brazilian test
Arash Khosravi
a,
⁎
, Richard Simon
a
, Patrice Rivard
b
a
Department of Civil, Geological and Mining Engineering, École Polytechnique de Montréal, Montréal, QC, Canada H3T 1J4
b
Department of Civil Engineering, University of Sherbrooke, QC, Canada J1K 2R1
ARTICLE INFO
Keywords:
Roughness
Brazilian
Failure mode
Length-to-diameter ratio
Loading direction
1. Introduction
Fractures are one of the most important features affecting the
mechanical behaviour of rock masses. The degree of fracturing in a
rock mass can be influenced by several factors: in situ stress, boundary
conditions and geological history. Fractures are the main factor that
must be taken into consideration in the control of thermo-hydro-
mechanical behaviour. Two important physical characteristics of
fracture that are used in rock mass classification systems are: the
aperture and the roughness. Many studies have been conducted on
these two components to show their relation with the mechanical
behaviour.
1–3
In applied rock mechanics, the shear strength of
discontinuities is the most important parameter for stability analyses.
To estimate the shear strength, the surface roughness can be taken into
account to model the shear behaviour of fractures.
4,5
Fracture roughness has been quantitatively characterized based on
morphological approaches, such as empirical,
6
statistical
7,8
and fractal
approach.
9–11
Each of these approaches uses parameters that quantify
the fracture topography. Among them, empirical approaches are the
most commonly used in rock mechanics. The Joint Roughness
Coefficient (JRC) – as an empirical approach – is a widely used
roughness parameter.
12
Since JRC is a subjective parameter that is
estimated by comparing the roughness profile with ten standard
roughness profiles,
13
relationships have been proposed between the
JRC value and various roughness parameters used in statistical
approaches. These relations quantitatively express the roughness
parameters.
8,14–19
Brady and Brown
20
showed that fractures occur in three conditions
or modes: shear, tensile or a combination of both. Mode I defines the
fracture created in tension, while Mode II and III are the fractures
induced by both tensile and shear stresses (Mode II as in-plane shear
and Mode III as out of plane tear). These fracture modes can be created
in laboratory using direct or indirect tensile, uniaxial and triaxial
compression tests. The fracture surface induced by an indirect tension
test (Brazilian test) is created in Mode I. Fig. 1 shows the roughness
variation of these fracture modes on Gabbro samples. There are many
experimental and numerical studies for the stress and strain distribu-
tion in the samples split by Brazilian tests.
13,21–27
More recently,
several investigations have been conducted on the cracking patterns of
foliated and pre-notched samples with different arrays.
28–33
Stirling
et al.
34
performed Brazilian tests based on ASTM, ISRM and Flattened
loading methods and identified the location of crack initiation and
fracture patterns. They showed that the onset location of cracking is
clearly at the center; however, the crack propagation could not be
captured by Digital Image Correlation (DIC) in these tests.
Apart from the ultimate stress applied on samples submitted to
Brazilian tests of different L/D ratio, the strain variation along the
loading direction was also investigated by Stirling et al.
34
Accordingly,
the degree of the deformation perpendicular to the loading axis
increases across the diameter as L/D ratio decreases. This may be
due to the confinement induced by the length of the specimen. The
results of this study showed that the effect of the strain distribution in
terms of the L/D ratio is more tangible on the fracture surface along the
loading direction.
To date however, little work has been done on the relationship
between the fracture roughness and loading modes. Seredin et al.
35
http://dx.doi.org/10.1016/j.ijrmms.2017.01.007
Received 14 February 2016; Received in revised form 8 January 2017; Accepted 9 January 2017
⁎
Corresponding author.
E-mail address: akhosravi53@gmail.com (A. Khosravi).
International Journal of Rock Mechanics & Mining Sciences 93 (2017) 201–209
1365-1609/ © 2017 Elsevier Ltd. All rights reserved.
MARK