Commenced in January 2007
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Investigation of Crack Formation in Ordinary Reinforced Concrete Beams and in Beams Strengthened with Carbon Fiber Sheet: Theory and Experiment

Authors: Anton A. Bykov, Irina O. Glot, Igor N. Shardakov, Alexey P. Shestakov


This paper presents the results of experimental and theoretical investigations of the mechanisms of crack formation in reinforced concrete beams subjected to quasi-static bending. The boundary-value problem has been formulated in the framework of brittle fracture mechanics and has been solved by using the finite-element method. Numerical simulation of the vibrations of an uncracked beam and a beam with cracks of different size serves to determine the pattern of changes in the spectrum of eigenfrequencies observed during crack evolution. Experiments were performed on the sequential quasistatic four-point bending of the beam leading to the formation of cracks in concrete. At each loading stage, the beam was subjected to an impulse load to induce vibrations. Two stages of cracking were detected. At the first stage the conservative process of deformation is realized. The second stage is an active cracking, which is marked by a sharp change in eingenfrequencies. The boundary of a transition from one stage to another is well registered. The vibration behavior was examined for the beams strengthened by carbon-fiber sheet before loading and at the intermediate stage of loading after the grouting of initial cracks. The obtained results show that the vibrodiagnostic approach is an effective tool for monitoring of cracking and for assessing the quality of measures aimed at strengthening concrete structures.


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[1] A Raghavan, C.E.S. Cesnik. Shock and Vibration Digest., 39 (2), pp. 91-116, 2007
[2] R. Grimberg, D. Premel, A. Savin, Y. Le BihanY, D. Placko. Eddy current holography evaluation of delamination in carbon-epoxy composites. Insight 34 (43), pp. 260-264, 2001
[3] X.P.V. Maldague. Nondestructive Evaluation of Materials by Infrared Thermography. Springer, London, 2011.
[4] I.N. Ermolov, N.P. Aleshin, A.I. Potapov. Acoustic Testing Methods. Moscow, Vysshaya Shkola, 1991 (in Russian).
[5] D. Chikhunov. “Methods and Devices for Nondestructive Testing of Physical Properties of Concretes”. Stroit.Inzhener 3: pp. 55–59. 2005 (in Russian).
[6] K Verma., S.S Bhadauria, S. Akhtar. “Review of non destructive testing methods for condition monitoring of concrete structures”. Journal of Construction Engineering 2013.
[7] T. Rahmani, B. Kiani, M. Bakhshi, M. Shekarchizadeh. “Application of different fibers to reduce plastic shrinkage cracking of concrete”. In 7th RILEM International Conference on Cracking in Pavements. pp. 635-642. 2012.
[8] M. Cao, Q. Ren, P. Qiao. “Nondestructive assessment of reinforced concrete structures based on fractal damage characteristic factors”. Journal of Engineering Mechanics. 132 (9). pp. 924-931. 2006.
[9] D. Adams, C. Farrar. “Classifying linear and nonlinear structural damage using frequency domain arx models”. Structural Health Monitoring. 1 (2). pp. 185–201. 2002.
[10] S. Doebling, C. Farrar, M. Prime, D. Shevitz. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos National Laboratory, Los Alamos, New Mexico, 1996.
[11] W. Fan, P. Qiao “Vibration-based damage identification methods: a review and comparative study”. Structural Health Monitoring. 10 (1). pp. 83-111. 2011. DOI: 10.1177/1475921710365419.
[12] L. Wang, T.H.T. Chan. “Review of vibration-based damage detection and condition assessment of bridge structures using structural health monitoring”. Proc. 2-nd infrastructure theme postgraduate conference. Queensland University of Technology, 2009.
[13] P. Cawley, R.D. Adams. “The location of defects in structures from measurements of natural frequencies”. Journal of Strain Analysis. 14 (2). pp. 49-57. 1997.
[14] W.M. Wes.t “Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen”. Proc. 4th International Modal Analysis Conference. Union College 1986.
[15] A.K Pandey, M. Biswas, M.M. Samman. “Damage detection from changes in curvature mode shapes”. Journal of Sound and Vibration. 145 (2). pp. 321–332. 1991. doi:10.1016/0022-460X(91)90595-B
[16] N. Stubbs, J.T. Kim “Damage detection in offshore jacket structures from limited modal information”. International Journal of Offshore and Polar Engineering. 5(1). pp. 58-66. 1995.
[17] A.E Aktan, K.L Lee, C. Chuntavan, T. Aksel. “Modal testing for structural identification and condition assessment of constructed facilities”. Proc. 12th International Modal Analysis Conference. pp. 462–468. 1994.
[18] A.A. Bykov, V.P. Matveenko, G.S. Serovaev, I.N. Shardakov, A.P. Shestakov. “Mathematical modeling of vibration processes in reinforced concrete structures for setting up crack initiation monitoring”. Mechanics of Solids. 50 (2). pp. 160–170. 2015.
[19] A.A. Bykov, V.P. Matveenko, G.S. Serovaev, I.N. Shardakov, A.P. Shestakov. “Analysis of the influence of dynamic phenomena on the fracture of a reinforced concrete beam under quasistatic loading (Computations and experiment)”. Mechanics of Solids 50 (4). pp. 118–129. 2015.
[20] AI. Lurie. The Theory of Elasticity. Moscow, Nauka, 1970. (in Russian).