Nonlinear Dynamic Analysis of Reinforced Concrete Slabs
Article Sidebar
Main Article Content
Abstract
In this study the nonlinear transient dynamic analysis of reinforced concrete slabs using the finite element method is presented. Eight-node Serendipity degenerated elements have been employed. This element is based on isoparametric principles with modifications, which relax excessive constraints. The modifications include reduced order integration to overcome the shear locking. A layered approach is adopted to discretize the concrete through the thickness. Both an elastic-perfectly plastic and strain hardening plasticity approaches have been employed to model the compressive behavior of the concrete. A tensile strength criterion is used to initiation of crack and a smeared fixed crack approach is used to model the behavior of the cracked concrete. Tension stiffening in concrete is assumed such that the concrete can take some tension after cracking. Implicit Newmark with corrector-predictor algorithm is employed for time integration of the equation of motion. Several examples are analyzed using the proposed model. The numerical results showed good agreement with other sources.
Metrics
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
THIS IS AN OPEN ACCESS ARTICLE UNDER THE CC BY LICENSE http://creativecommons.org/licenses/by/4.0/
Plaudit
References
Beshara, F.B.A. and Virdi, K.S., “Prediction of dynamic response of blast-loaded reinforced concrete structures”, Journal of Computers and Structures, Vol.44, No.12, 1992, pp.297-313. DOI: https://doi.org/10.1016/0045-7949(92)90249-Y
Hinton, E., “Numerical methods and software for dynamic analysis of plates and shells”, Pineridge Press, Swansea U.K.,1988 .
Lopez Cela, J.J, Pegon, P. and Casadei F., “Fast transient analysis of reinforced concrete structure with Drucker-Prager model and viscoplastic regularization”, In D.R.J. Owen, E. Onate, E. Hinton (eds.), Proceedings of the fifth International Conference on Computational Plasticity, Fundamental and Applications, Barcelona, Spain,17-20, (1997).
Riera, J.D. and Iturrioz, I., “Discrete elements model for evaluating impact and impulsive response of reinforced concrete plates and shells subjected to impulsive loading”, Nuclear Engineering and Design 179, 1998, pp.135-144. DOI: https://doi.org/10.1016/S0029-5493(97)00270-7
Shirai, T., Kambayashi, A., Ohno, T., Taniguchi, H., Ueda, M. and Ishikawa, N., “Experimental and numerical simulation of double-layered RC plates under impact loadings”, Nuclear Engineering and Design 176, 1998, pp.195-205. DOI: https://doi.org/10.1016/S0029-5493(97)00142-8
Sziveri, J., Topping, B.H.V. and Ivanyi, P., “Parallel transient dynamic nonlinear analysis of reinforced concrete plates”, Advances in Engineering Software 30, 1999, pp.867-882. DOI: https://doi.org/10.1016/S0965-9978(98)00102-1
Huang, H.C., “Static and dynamic analysis of plates and shells Theory, Software and Applications”, Springer Verlag, Berlin, Heidelberg 1989.
Dohestry, W.P., Wilson, E.L., and Taylor, R.L., “Stress analysis of axi-symmetric solids using higher order quadrilateral finite elements”, Structural Engineering Laboratory Report, No.SESM69-3, University of California, Berkeley, 1969.
Zienkiewicz, O.C., Taylor, R.L., and Too, J.M., “Reduced integration technique in general analysis of plates and shells”, International Journal for Numerical Methods In Engineering, Vol.3, 1971, 275-290. DOI: https://doi.org/10.1002/nme.1620030211
Hughes, T.J.R., Cohen, M. and Haroun, M., “Reduced and selective integration techniques in the finite element analysis of plates”, Nuclear Eng. and Design, Vol. 46, 1978, pp. 203-222. DOI: https://doi.org/10.1016/0029-5493(78)90184-X
Parisch, H., “A critical survey of the 9- node degenerated shell element with special emphasis on thin shell applications and reduced integration”, in Comp. Meths. Appl. Mech. Eng., Vol. 20, 1979, pp. DOI: https://doi.org/10.1016/0045-7825(79)90007-0
Pugh, E.D.L., Hinton, E. and Zienkiewicz, O.C., “A study of quadrilateral plate bending elements with reduced integration”, Int. J. Num. Meth. Eng., Vol. 12, 1978, pp. 1059-1079. DOI: https://doi.org/10.1002/nme.1620120702
Kupfer, H., Hilsdorf, K.H. and Rush, H., “Behavior of concrete under biaxial stresses”, Proceedings, American Concrete Institute, Vol. 66, No. 8, August, 1969, pp. 656- 666. DOI: https://doi.org/10.14359/7388
Hinton, E. and Owen, D.R.J., “Finite element Software for plates and shells” Pineridge Press, Swansea, U.K., 1984.
Fenwick, R.C and Paulay, T., “Mechanics of shear resistance of concrete beams”, ASCE Journal of the Structural Division, Vol. 94, No. ST10, October 1968, pp. 2325-2350. DOI: https://doi.org/10.1061/JSDEAG.0002092
Cedolin, L. and Deipoli, S., “Finite element studies of shear- critical reinforced concrete beams”, ASCE Journal of the Engineering Mechanics Division, Vol. 103, No. EM3, June 1977, pp. 395-410. DOI: https://doi.org/10.1061/JMCEA3.0002236
Al-Samarrai, A.T.A.H.,” Nonlinear finite element analysis of reinforced concrete slabs “, M.Sc. Thesis, University of Tikrit, Tikrit, Iraq, 2005
Owen, D.R.J. and Hinton, E., “Finite elements in plasticity- theory and practice”, Pineridge Press, Swansea, U.K., 1980.