The strengthening of reinforced concrete beams through the use of epoxy-bonded carbon composites has been widely researched in the United States since 1991. Despite the widespread attention of researchers, however, there are no reliable methods of predicting the failure of the repaired and strengthened beams by delamination of the carbon composite from the parent concrete. To better understand delamination, several investigators have presented analytical work to predict the distribution of stresses along the interface between the carbon composite and the concrete. Several closed-form solutions can be found in the literature to predict the levels of shear stress present between the bonded composite plate and the parent concrete beam. However, there has been very little experimental verification of these analytical predictions. The few experiments that have been conducted have used numerous electrical resistance strain gages, adhered to the surface of the carbon composite at various intervals along the length of the test section, in order to deduce the interfacial shear stress using first differences. This method, though very crude, demonstrated that there are substantial differences between the distributions of interfacial shear stresses in actual repaired beams versus the analytical predictions.
This paper presents a new test program in which large-scale (2.4 m long), carbon-fiber-strengthened reinforced concrete beams are load-tested to failure, while employing digital image correlation (DIC) to record the three-dimensional displacements of the surface of the carbon fiber plate. Three-dimensional digital image correlation is a two-camera, stereoscopic technique for measuring true, 3D full-field surface displacements. The technique uses a subset-based correlation method to determine the correspondence between images from the two cameras and between images at different load levels. From each load’s full-field surface displacements, a surface strain map can be generated. The resulting strain maps allow the investigation of the load transfer from the carbon fiber to the concrete beam with a level of detail not achievable with standard strain gages.
The focus of this paper is the application of the three-dimensional digital image correlation technique to the investigation of FRP reinforced concrete beams. The paper presents: 1) the results of the experimental testing; 2) an overview the three-dimensional digital image correlation technique; 3) the adaptations required to utilize the 3D correlation method on the large, 0.1m x 2.0m, imaged area of the beam; and 4) the effect of the discontinuous failure mechanisms, inherent in reinforced concrete structures, on the analysis of the data.
KEYWORDS: Finite element methods, 3D modeling, Optical engineering, Shape analysis, 3D metrology, Aluminum, Numerical simulations, Data conversion, 3D image processing, Computer simulations
A PC‐based, 3‐D surface profile and displacement measurement system capable of micron‐level accuracy using moderately priced off‐the‐shelf equipment has been developed. For use in field applications, a simplified calibration process using precision grids and camera translations is developed. An improved image correlation process is developed which corrects for perspective distortions due to viewpoint differences between the two cameras. The accuracy of the system was assessed experimentally and results expressed using several different error measures, including a new error measure proposed by the authors. The accuracy for both the profile and displacement measurement systems was established through a series of profile and translation tests. The baseline tests confirmed that the measurement system is capable of highly accurate full‐field measurements. The system was also used successfully to measure both the bending of a clamped circular plate under pressure loading and the local buckling which occurs during tension loading of a cracked plate.
This paper describes a 3D surface profile and displacement measurement system capable of micron level accuracy using moderately priced off-the-shelf equipment. A non-linear optimization based calibration system is presented. The calibration system determines the position and operating characteristics of the cameras as well as correcting for lens distortion. Also presented is a surface profile and displacement measurement system base on projections into space of subsets of the recorded images. This method provides information about both the location and orientation in space of the subset. The accuracy of the system is established through a series of experiments. The calibration is assessed and the results are expressed using several different error measurements including a new error measurement proposed by the authors. The baseline accuracy of the measurement system was determined through a series of profile and translation tests. The system is capable of measurements to an accuracy of 0.003 mm over a 14 mm X 18 mm field from a distance of 416 mm using a 512 X 480 CCD camera and a magnification factor of 27 pixels/mm. The system was also used to measure the bending of a circular plate under pressure loading. The experimental results are analyzed and compared with theoretical prediction.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.