Characterization of stress-dependent ultrasonic nonlinearity variation in concrete under cyclic loading using nonlinear resonant ultrasonic method
Introduction
Concrete is a popular material in the construction industry due to its advantages of cost-effectiveness, water-resistance, thermal characteristics (similar to the steel), and low thermal conductivity. Generally, the compressive strength of concrete is 10 times higher than its tensile strength. Therefore, for most concrete structures, concrete plays a major role in sustaining compressive forces according to the self-weight of structural members and external loadings. It is also intended to resist compressive stress on concrete structures. However, concrete structures can suffer reduced durability if they are exposed to excessive loading or other damaging conditions, which can cause deterioration in the concrete microstructure and its corresponding mechanical properties [1]. There are several causes of increased micro-cracks in concrete. Most of them are based on chemical mechanisms, such as alkali-silica reaction, sulfate attack, carbonization, and fire-induced damage, while others are based on physical mechanisms, such as freeze-thaw damage and load-induced damage. Generated micro-cracks weaken the binding forces of the cement matrix, and the bonding forces of the interfacial zone between the cement matrix and aggregates [2]. Among them, the stress-dependent characteristics of concrete have been investigated to evaluate the load-induced damage state or to monitor the load level of concrete structures. Several studies have concentrated on monitoring the compressive or tensile load history by determining the acoustoelasticity of concrete, which represents the load-dependent characteristics of concrete. It is mainly evaluated by measuring ultrasonic velocity based on coda wave interferometry, which sensitively reflects changes in ultrasonic velocity compared to the conventional method of measuring ultrasonic velocity [3], [4], [5], [6].
On the other hand, other studies have monitored the stress-dependent characteristics of concrete by using nonlinear ultrasonic methods, such as the higher harmonics method, the time-shift method, and the nonlinear resonant ultrasonic method, for measuring ultrasonic nonlinearity, which is based on the nonlinear acoustic behavior of concrete caused by its stress-strain nonlinearity [7], [8], [9], [10]. These nonlinear ultrasonic methods have also been reported to sensitively evaluate the conditions that may lead to micro-cracks in concrete, such as alkali-silica reaction, fire-damage, carbonation, and load-induced damage [11], [12], [13], [14], [15], [16], [17], [18]. Shah reported that the higher harmonics characteristics of concrete are dependent on the continuous increase of compressive loading, at 20%, 40%, 60%, and 80% compressive strength [7]. Antonaci et al. reported that the compressive stress level of concrete can be effectively monitored by measuring the nonlinear ultrasonic characteristics of concrete by using the time-shift method [8], [9]. Kim et al. reported in their preliminary study the possibility of using the nonlinear resonant ultrasonic method to monitor the compressive stress state of concrete, and the ultrasonic nonlinearity results were compared to experimental results obtained by measuring ultrasonic pulse velocity [10]. Previous studies have identified the stress-dependent characteristics of the nonlinear ultrasonic behavior of concrete, and they have suggested the possibility of its application in monitoring the stress state of concrete. Additionally, it seems that increases in stress-induced damage are related to increased measured ultrasonic nonlinearity.
In this study, an experimental research was performed to characterize the stress-dependent characteristics of concrete based on the measurement of the nonlinearity parameter, the purpose of which was to identify the effects of cyclic loading on ultrasonic nonlinearity and to evaluate the load-induced damage of concrete using the nonlinear resonant ultrasonic method. For this purpose, two types of loading were considered, and the nonlinearity parameter was measured for concrete samples under various levels of compressive loading. Additionally, experimental procedures were performed on the concrete samples after exposure to high temperature to identify the effects of an increasing number of micro-cracks distributed throughout the concrete on the stress-dependent ultrasonic nonlinearity of the concrete. Based on the test results, the effects of continuous and cyclic loading histories as well as an increasing number of micro-cracks in the concrete on ultrasonic nonlinearity and load-induced damage were investigated. Finally, a comparison analysis was performed based on the experimental results.
Section snippets
Sample preparation
The concrete samples for the experiments were made with the mixture proportions shown in Table 1, with Type I Portland cement, coarse aggregate particles smaller than 19 mm, and fine aggregate particles smaller than 4 mm. Admixtures were not used in any of the concrete mixtures. The samples were cast and molded into two shapes and were cured in water. A cylindrical shape 100 mm in diameter and 200 mm in height was intended for measuring the compressive strength of concrete, and a slender
Continuous and cyclic compressive loading: Effects of cyclic loading
To compute the nonlinearity parameter as in Eq. (1.b), the frequency difference was measured by the relationship with the output voltage with increasing input voltage. Fig. 4 summarizes representative experimental results measured from a concrete sample under continuously increased compressive loading (CONT). The frequency difference was measured by the relationship with the output voltage with increasing input voltage, and the nonlinearity parameter was computed from the slope of the linear
Discussion
For further comparison between the three given loading histories, a detailed discussion is given on the effects of cyclic loading on the measured nonlinearity parameter. As seen in Fig. 11a–f, the total nonlinearity parameter results are summarized as follows; Fig. 11a, c, and e present the results measured under the 30%, 60%, and 90% load levels, respectively, and Fig. 11b, d, and f are the corresponding results represented as the relative ratio with the nonlinearity parameter of the unloaded
Conclusion
To identify the effects of cyclic loading on stress-dependent ultrasonic nonlinearity and the generation of stress-induced damage to concrete, an experimental study was performed to measure the ultrasonic nonlinearity of concrete samples subjected to continuous and cyclic loading histories. The experimental results and discussion are summarized as follows:
- 1.
When compressive loading was applied, the ultrasonic nonlinearity clearly decreased at all times regardless of each experimental condition
Acknowledgements
This work was financially supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2014R1A2A2A01002487 and Korea Minister of Ministry of Land, Infrastructure and Transport (MOLIT) as U-City Master and Doctor Course Grant Program.
References (25)
- et al.
Study of stress-induced velocity variation in concrete under direct tensile force and monitoring of the damage level by using thermally-compensated coda wave interferometry
Ultrasonics
(2012) - et al.
Acoustoelastic effect in concrete material under uni-axial compressive loading
NDT & E Int.
(2010) - et al.
Non-linear ultrasonic evaluation of damaged concrete based on higher order harmonic generation
Mater. Des.
(2009) - et al.
Monitoring evolution of compressive damage in concrete with linear and nonlinear ultrasonic methods
Cem. Concr. Res.
(2010) - et al.
Evolution of damage-induced nonlinearity in proximity of discontinuities in concrete
Int. J. Solids Struct.
(2010) - et al.
Characterization of progressive microcracking in Portland cement mortar using nonlinear ultrasonics
NDT & E Int.
(2008) - et al.
Characterization of thermally damaged concrete using a nonlinear ultrasonic method
Cem. Concr. Res.
(2012) - et al.
Actively modulated acoustic nondestructive evaluation of concrete
Cem. Concr. Res.
(2004) - et al.
Micro-damage diagnostics using nonlinear elastic wave spectroscopy (NEWS)
NDT & E Int.
(2001) Properties of Concrete
(1995)