Research on Cracking of Reinforced Concrete Beam and Its Influence on Natural Frequency by Expanded Distinct Element Method
Publication: Journal of Aerospace Engineering
Volume 30, Issue 2
Abstract
A distinct element model was proposed to simulate cracking in a reinforced concrete beam, and the influence of cracking on natural frequency was analyzed. Hexagonal block and tensile-shear failure criteria were implanted into the framework of the expanded distinct element method to determine two-dimensional cracking and to analyze the crack growth of the reinforced-concrete beam. Experimental tests were also carried out to verify the numerical simulation results. Numerical and experimental results show that at the cracking initiation stage, cracks appear below the loading points because of concentrated tensile stresses and grow upward. When these cracks penetrate three-quarters of the beam, cracks open in the bottom and gradually curve toward the loading points. Cracks caused by shear failure occur in the top of the beam. The beam fails because of a yielding of the longitudinal tensile reinforcement bar. Cracking and yielding of longitudinal tensile reinforcement can be identified based on a continuously descending natural frequency.
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Acknowledgments
This work was supported partly by the Foundation of Education Department (QN2016080) in Hebei Province, National Natural Science Foundation of China (51608336), and the Collaborative Innovation Center for Disaster Prevention and Mitigation of Large Basic Infrastructure in Hebei Provence. The authors would like to thank Assistant Professor Bo Li from the Graduate School of Engineering of Nagasaki University in Japan and Lecturer Lei Yang from the Department of Civil Engineering in Shandong University in China for their kind support and advice on this research.
References
Aydin, K. (2013). “Free vibration of functionally graded beams with arbitrary number of surface cracks.” Eur. J. Mech. A. Solid., 42(11), 112–124.
Bishop, R. E. D., and Johnson, D. C. (1956). Vibration analysis table, Cambridge University Press, Cambridge, U.K.
Bouchard, P. O., Bay, F., Chastel, Y., and Tovena, I. (2000). “Crack propagation modelling using an advanced remeshing technique.” Comput. Method. Appl. Mech. Eng., 189(3), 723–742.
Chondros, T. G., Dimarogonas, A. D., and Yao, J. (1998). “A continuous cracked beam vibration theory.” J. Sound Vib., 215(1), 17–34.
Donovan, K., Pariseau, W. G., and Cepak, M. (1984). “Finite element approach to cable bolting in steeply dipping VCR stopes.” Geomechanics application in underground hardrock mining, Society of Mining Engineers, New York.
Itasca. (2000). “UDEC—User’s manual.” Minneapolis.
Jiang, Y., Xiao, J., Tanabashi, Y., and Mizokami, T. (2004). “Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition.” Int. J. Rock Mech. Minerals Sci., 41(2), 275–286.
Jiang, Y., Li, B., and Yamashita, Y. (2009). “Simulation of cracking near a large underground cavern in a discontinuous rock mass using the expanded distinct element method.” Int. J. Rock Mech. Min. Sci., 46(1), 97–106.
Jiang, Y., Nakagawa, M., and Tanabashi, Y. (2000). “Modelling of rock joints and application to underground openings in discontinuous rock masses.” Proc., ISRM Int. Symp., International Society for Rock Mechanics, Aachen, Germany.
Jiang, Y., Tanabashi, Y., Li, B., and Xiao, J. (2006). “Influence of geometrical distribution of rock joints on deformational behavior of underground opening.” Tunnelling Underground Space. Tech., 21(5), 485–491.
Jiang, Y., Xiao, J., Yamaguchi, K., Tanabashi, Y., and Esaki, T. (2001). “Mechanical behaviour and support design of large underground opening in discontinuous rock masses.” J. Minerals Mater. Process. Inst. Jpn., 117(8), 639–644.
Konno, K., and Ohmachi, T. (1998). “Ground-motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremor.” B. Seismol. Soc. Am., 88(1), 228–241.
Kulatilake, P. H. S. W., Ucpirti, H., Wang, S., Radberg, G., and Stephansson, O. (1992). “Use of the distinct element method to perform stress analysis in rock with non-persistent joints and to study the effect of joint geometry parameters on the strength and deformability of rock masses.” Rock Mech. Rock Eng., 25(4), 253–274.
Lauterbach, B., and Gross, D. (1998). “Crack growth in brittle solids under compression.” Mech. Mater., 29(2), 81–92.
Lee, J. S. (2001). “Installation of real-time monitoring system for high-speed railroad tunnel.” J. Korean Tunnel. Undergr. Sp. Assoc., 3(4), 63–67.
Li, B., Jiang, Y., Tanabashi, Y., and Yamashita, Y. (2010). “Behavior of large scale underground cavern located in jointed rock masses evaluated by using distinct element method.” Soils Found., 50(5), 609–621.
Makino, K. (2013). “Study on identification method of structural vibration characteristics of existing bridges by vibration measurement using laser doppler velocimeter.” Ph.D. thesis, Nagasaki Univ., Fukuoka, Japan.
Massenzio, M., Jacquelin, E., and Ovigne, P. A. (2005). “Natural frequency evaluation of a cracked RC beam with or without composite strengthening for a damage assessment.” Mater. Struct., 38(10), 865–873.
Nakagawa, K. (1999). “Numerical approaches of rock mass behaviors considering crack generation and large deformation.” Ph.D. thesis, Kyushu Univ., Fukuoka, Japan.
Shen, B., and Barton, N. (1997). “The disturbed zone around tunnels in jointed rock masses.” Int. J. Rock Mech. Minerals Sci., 34(1), 117–125.
Singh, R., Carter, B. J., Wawrzynek, P. A., and Ingraffea, A. R. (1998). “Universal crack closure integral for SIF estimation.” Eng. Fract. Mech., 60(2), 133–146.
Souley, M., and Homand, F. (1996). “Stability of jointed rock masses evaluated by UDEC with an extended Saeb-Amadei constitutive law.” Int. J. Rock Mech. Minerals Sci., 33(3), 233–244.
Suorineni, F. T., Tannant, D. D., and Kaiser, P. K. (1999). “Determination of fault-related sloughage in open stopes.” Int. J. Rock Mech. Minerals Sci., 36(7), 891–906.
Vestroni, F., and Capecchi, D. (2000). “Damage detection in beam structures based on frequency measurements.” J. Eng. Mech., 761–768.
Wong, R. H. C., Tang, C. A., Chau, K. T., and Lin, P. (2002). “Splitting failure in brittle rocks containing pre-existing flaws under uniaxial compression.” Eng. Fract. Mech., 69(17), 1853–1871.
Yang, L., Jiang, Y., Li, B., Li, S., and Gao, Y. (2012). “Application of the expanded distinct element method for the study of crack growth in rock-like materials under uniaxial compression.” Front. Struc. Civil Eng., 6(2), 121–131.
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© 2016 American Society of Civil Engineers.
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Received: Mar 28, 2015
Accepted: Aug 31, 2016
Published online: Nov 21, 2016
Published in print: Mar 1, 2017
Discussion open until: Apr 21, 2017
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