Test method
Monitoring Poisson’s ratio of glass fiber reinforced composites as
damage index using biaxial Fiber Bragg Grating sensors
C. Yilmaz
a
, C. Akalin
a
, E.S. Kocaman
a
, A. Suleman
b
, M. Yildiz
a, *
a
Facultyof Engineering and Natural Sciences, Integrated Manufacturing Technologies Research and Application Center, Sabanci University, 34956, Istanbul,
Turkey
b
Department of Mechanical Engineering, Center for Aerospace Research, University of Victoria, Victoria, BC, V8W 3P6, Canada
article info
Article history:
Received 29 February 2016
Accepted 10 May 2016
Available online 19 May 2016
Keywords:
Poisson’s ratio
Transverse cracking
Stress transfer
Glass fibers
Fiber Bragg Grating
abstract
Damage accumulation in Glass Fiber Reinforced Polymer (GFRP) composites is monitored based on
Poisson’s ratio measurements for three different fiber stacking sequences subjected to both quasi-static
and quasi-static cyclic tensile loadings. The sensor systems utilized include a dual-extensometer, a biaxial
strain gage and a novel embedded-biaxial Fiber Bragg Grating (FBG) sensor. These sensors are used
concurrently to measure biaxial strain whereby the evolution of Poisson’s ratio as a function of the
applied axial strain is evaluated. It is observed that each sensor system indicates a non-constant Poisson’s
ratio, which is a sign of damage accumulation under the applied tensile loading. As the number of off-
axis plies increases, transverse strain indicates a notable deviation from linearity due to the formation
of transverse cracking, thereby leading to a larger reduction in Poisson’s ratio as a function of applied
axial strain. Here, it is demonstrated that biaxially embedded FBG sensors are reliable to monitor the
evolution of Poisson’s ratio, unlike biaxial strain gages which record strain values that can be significantly
influenced by the cracks formed on the surface of the specimen.
© 2016 Elsevier Ltd. All rights reserved.
1. Introduction
Glass or carbon fiber reinforced polymeric composites have
received a great deal of attention due to their high specific strength
and stiffness for structural applications. The relatively high specific
strength of composite materials makes them suitable for applica-
tions where the weight and operating costs are intimately coupled.
In comparison to metallic materials, where the failure is usually
triggered by a single crack during their service life, composite
materials exhibit poorly characterized damage mechanisms due to
the existence of multiple cracks, which makes the prediction of
service life rather complex and difficult. Therefore, in literature,
there are several approaches developed and investigated to un-
derstand the accumulation of damage and damage state of com-
posite structures under static and dynamic loading conditions. For
example, Highsmith and Reifsnider studied stiffness reduction as a
damage indicator in composite materials [1]. Several researchers
examined the reduction of Poisson’s ratio as a damage indicator
[2e5] since Poisson’s ratio (n
xy
¼ε
y
/ε
x
) embodies both axial and
transversal strain (ε
x
and ε
y
, respectively) information and is
affected by the transverse cracks formed as a result of applied
longitudinal strain [6e8]. Paepegem et al. [6] investigated the
evolution of Poisson’s ratio of composite materials as a function of
applied longitudinal strain, and showed that Poisson’s ratio de-
creases with the applied strain. Smith et al. [8] modelled the evo-
lution of Poisson’s ratio using a shear-lag theory under static
loading conditions, correlated their analytic model with experi-
mental results, and indicated that Poisson’s ratio decreases as the
transverse crack density increases.
The measurement of Poisson’s ratio of composites subjected to
dynamic and static loading has mainly been performed using strain
gages and extensometers. Due to their size, these sensors cannot be
embedded in composite structures, and thus measure the strain
from the surface. Additionally, surface mounted strain gages detach
easily under cyclic loading, even at relatively few cycles. Moreover,
strain gages and extensometers are sensitive to electromagnetic
interference, and hence cannot be used in environments with high
electromagnetic interference. To circumvent the drawbacks of
strain measurements with surface mounted electrical strain sensor
systems, one promising approach is the utilization of embedded
Fiber Bragg Grating (FBG) based sensor systems [9]. FBG is a section * Corresponding author.
E-mail address: meyildiz@sabanciuniv.edu (M. Yildiz).
Contents lists available at ScienceDirect
Polymer Testing
journal homepage: www.elsevier.com/locate/polytest
http://dx.doi.org/10.1016/j.polymertesting.2016.05.009
0142-9418/© 2016 Elsevier Ltd. All rights reserved.
Polymer Testing 53 (2016) 98e107