ACI Materials Journal/May-June 2010 305
ACI MATERIALS JOURNAL TECHNICAL PAPER
ACI Materials Journal, V. 107, No. 3, May-June 2010.
MS No. M-2009-227 received June 29, 2009, and reviewed under Institute publication
policies. Copyright © 2010, American Concrete Institute. All rights reserved, including the
making of copies unless permission is obtained from the copyright proprietors. Pertinent
discussion including authors’ closure, if any, will be published in the March-April 2011
ACI Materials Journal if the discussion is received by December 1, 2010.
The feasibility of impact-generated Rayleigh waves (R-waves) for
measuring deep surface-opening cracks in concrete structures was
studied. The aim is to contribute to a methodology for simple and
effective in-place crack depth estimation. Specimens induced with
vertical slits of different depths were prepared for measurement. A
two-sensor array was implemented and elastic waves of different
central frequencies were generated by mechanical impacts with
steel-ball hammers of different ball diameters. R-wave amplitudes
were extracted from the waveforms. Attenuation of R-waves due to
diffraction and scattering by the slits and the trend of amplitude
decaying with slit depth were examined. A reasonable correlation
between the amplitude factor and slit depth-to-wavelength ratio was
established, which indicated the loss of sensitivity in the change of
amplitude factor with regard to dominant wavelengths smaller
than the slit depth. By comparing the results of P-wave time-of-
flight (TOF) method, the results by measuring again using the
proposed method confirmed the feasibility of R-wave attenuation
as an alternative parameter for characterizing surface-opening
cracks. In addition, it was also demonstrated potential problems
associated with the reliability of P-wave TOF method in estimating
a crack with limited length.
Keywords: amplitude factor; attenuation; nondestructive testing; Rayleigh
waves; surface-opening cracks.
INTRODUCTION
Concrete structures are susceptible to various forms of
attacks including applied load, drying shrinkage, temperature
variation, steel corrosion and other forms of degradation.
Surface cracking is one of the most common forms of defect
found in concrete structures as a consequence of the attacks.
Depending on the extent and their locations, surface-opening
cracks pose different levels of threats in degrading the overall
strength and durability performance of the structure. To make
things worse, these cracks, if they penetrate through the
thickness of the concrete cover, could result in exposure of
steel reinforcement and facilitate the ingress of chloride to
accelerate the corrosion process.
1
Effective detection and
evaluation of surface-opening cracks are vital so that
appropriate repair or strengthening can be conducted to restore
structural integrity. Several nondestructive tests (NDT) have been
developed to detect surface-opening cracks in concrete
structures. The ultrasonic time-of-flight (TOF) method is the
most straightforward to adopt, in which the time and distance
of compression wave (P-wave) propagation are used to
compute the velocity, so that anomalies that cause delay in the
wave propagation can be identified. Van Hauwaert et. al.
2
conducted a study to follow cracks developed under bending
of reinforced concrete (RC) members by establishing a
direct relation between the variation of ultrasonic parameters
during crack growth and the crack length. There are also
reports on the development of ultrasonic spectroscopy for
evaluating cracks and an ultrasonic imaging method that
scans the concrete surface for cracking.
3-5
A similar method
to the ultrasonic TOF method was developed by using elastic
waves induced by mechanical impacts, in which the travel
time of P-waves of known velocity diffracted from crack tip
were measured to calculate the depth of crack.
6,7
In most real
cases, however, the crack surfaces were filled with water and
dust or in contact with the opposite surface, as well as in
connection with steel reinforcements. The filling, contact, or
connection can carry the P-waves across the cracks. Therefore,
when identifying the depth of cracks, especially those with
great depths, underestimation can commonly occur due to the
shorter-than-expected wave path through the bridging points.
8
Recently, studies on the use of Rayleigh wave (R-wave)
scattering and attenuation characteristics in estimating
depths of surface-opening cracks in concrete have been
reported.
9-16
R-waves propagate the surface of an object
with a penetration depth of approximately one wavelength.
Furthermore, R-waves carry a higher amount of energy than
bulk waves, that is, approximately 67% of the total energy of
elastic waves, and have a low attenuation rate in geometric
spreading due to their cylindrical wavefront, which enable
them to propagate over longer distances than the bulk
waves.
9
Also, unlike P-waves, the cylindrical particle movements
of R-waves, which are perpendicular to the propagation
direction, depend heavily on the shear properties of the
medium.
14
Therefore, the existence of steel bar, water, or
dust, as well as contact between aggregates inside a crack, are
not expected to affect the wave propagation because of
insignificant shear properties of the substance and
contact surface.
Most of the studies for R-waves, experimentally or
analytically, have been linked with evaluating concrete
cracks that are relatively shallow in depth. In these studies,
measurements by ultrasonic excitations of high frequencies
were conducted. Although signal processing and identification
for crack evaluation can be precisely performed with high
consistency due to the good sensitivity of high frequency
waves toward attenuation, penetration of wave energy into
concrete has been very limited due to the short wavelength
of the ultrasonic waves. It is also known that the relation
between amplitude decay and crack depth can be established
by taking the ratio between crack depth and wavelength;
therefore, the relation is not confined to a certain range of
crack depth, that is, varying the wavelength enables crack-depth
evaluation of any scale.
9-13,17
There is still a lack of
experimental data, however, to confirm the effectiveness of
Title no. 107-M36
Characterization of Deep Surface-Opening Cracks in
Concrete: Feasibility of Impact-Generated Rayleigh-Waves
by Hwa Kian Chai, Shohei Momoki, Dimitrios G. Aggelis, and Tomoki Shiotani