Finite-Element Analysis of Reinforced Concrete Flat Plate Structures by Layered Shell Element
Publication: Journal of Structural Engineering
Volume 134, Issue 12
Abstract
A finite-element model for nonlinear analysis of reinforced concrete flat plate structures is presented. A flexible layering scheme incorporating the transverse shear deformation is formulated in shell element environment. Each node of the layered shell element can be specified as either a normal node or a node with shear correction. A three-dimensional hypoelastic material model is implemented to model reinforced concrete. The cracking effects of tension softening, aggregate interlock, tension stiffening, and compression softening in multidirectionally cracked reinforced concrete are incorporated explicitly and efficiently. A flat plate, a flat slab with drop panel, and a large size flat plate with irregular column layout have been analyzed. The influence of the distribution of transverse shear strain on the punching shear failure mode has been identified in the numerical studies. The proposed finite-element model has been proved to be capable of simulating the localized punching shear behavior of slab–column connections and to be suitable for global analysis of structural performance of flat plate structures.
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Acknowledgments
This paper is based on the Ph.D. thesis of the first writer. The writers are grateful for the financial support granted by the Building and Construction Authority, Singapore, and Nanyang Technological University.
References
Ahmad, S., Irons, B. M., and Zienkiewicz, O. C. (1970). “Analysis of thick and thin shell structures by curved finite elements.” Int. J. Numer. Methods Eng., 2, 419–451.
Barzegar, F. (1988). “Layering of rc membrane and plate elements in nonlinear analysis.” J. Struct. Eng., 114(11), 2474–2492.
Belarbi, A., and Hsu, T. T. C. (1995). “Constitutive laws of softened concrete in biaxial tension-compression.” ACI Struct. J., 92(5), 562–573.
Comite Euro International Du Beton (CEB). (1990). Ceb-Fip model code 1990: Design code, Thomas Telford, London.
Darwin, D., and Pecknold, D. A. (1976). “Analysis of RC shear panels under cyclic loading.” J. Struct. Div., 102(2), 355–369.
de Borst, R., and Nauta, P. (1985). “Non-orthogonal cracks in a smeared finite element model.” Eng. Comput., 2, 35–46.
Dyngeland, T., Hoiseth, K., Opheim, E., and Hole, A. (1994). “Nonlinear analysis of reinforced concrete members subjected to punching shear.” Proc., EURO-C 1994 Int. Conf., Computer Modeling of Concrete Structures.
Elstner, R. C., and Hognestad, E. (1956). “Shear strength of reinforced concrete slabs.” ACI J., 28(1), 29–58.
Elwi, A. A., and Murray, A. W. (1979). “A 3D hypoelastic concrete constitutive relationship.” J. Engrg. Mech. Div., 105(4), 623–641.
Fafard, M., and Massicotte, B. (1993). “Geometrical interpretation of the arc-length method.” Comput. Struct., 46(4), 603–615.
Fields, K. L. (1998). “Tension stiffening response of high strength reinforced concrete tensile members.” Master thesis, Univ. of New Brunswick, New Brunswick, Canada.
Figueras, J. A., and Owen, D. R. J. (1983). “Anistropic elasto-plastic finite element analysis of thick and thin plates and shells.” Int. J. Numer. Methods Eng., 19, 541–566.
González-Vidosa, F., Kotsovos, M. D., and Pavlović, M. N. (1988). “Symmetrical punching of reinforced concrete slabs: An analytical investigation based on nonlinear finite element modeling.” ACI Struct. J., 85(3), 241–250.
Hand, F. R., Pecknold, D. A., and Schnobrich, W. C. (1973). “Nonlinear layered analysis of RC plates and shells.” J. Struct. Div., 99(7), 1491–1505.
Loo, Y. C., and Guan, H. (1997). “Cracking and punching shear failure analysis of RC flat plates.” J. Struct. Eng., 123(10), 1321–1330.
Mawenya, A. S., and Davies, J. D. (1974). “Finite element bending analysis of multilayer plates.” Int. J. Numer. Methods Eng., 8, 215–225.
Megally, S. H. (1998). “Punching shear resistance of concrete slabs to gravity and earthquake forces.” Ph.D. thesis, Univ. of Calgary, Calgary, Alta., Canada.
Megally, S. H., and Ghali, A. (2000). “Punching of concrete slabs due to column moment transfer.” J. Struct. Eng., 126(2), 180–189.
Menétrey, P., Walther, R., Zimmermann, T., Willam, K. J., and Regan, P. E. (1997). “Simulation of punching failure in reinforced-concrete structures.” J. Struct. Eng., 123(5), 652–659.
Mohammadi, M. S. (2002). “Micro computational approach to post cracking constitutive laws of reinforced concrete and application to nonlinear finite element analysis.” Ph.D. thesis, Univ. of Tokyo, Tokyo.
Pang, X. B. (1991). “Constitutive laws of reinforced concrete in shear.” Ph.D. thesis, Univ. of Houston, Houston.
Polak, M. A. (1998). “Modeling punching shear of reinforced concrete slabs using layered finite elements.” ACI Struct. J., 95(1), 71–80.
Ramaswamy, A., Barzegar, F., and Voyiadjis, G. Z. (1995). “Study of layering procedures in finite element analysis of RC flexural and torsional elements.” J. Struct. Eng., 121(12), 1773–1783.
Tan, H. N., and Teng, S. (2001). “Concrete flat-plate floors with irregular column layout: flexural design and test of a 7-column floor specimen.” Final Rep., School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” J. Am. Concr. Inst., 83(2), 219–231.
Wang, W. Y. (2007). “Nonlinear finite element analysis for reinforced concrete flat plate floors.” Ph.D. thesis, Nanyang Technological Univ., Singapore.
Wang, W. Y., and Teng, S. (2007). “Modeling cracking in shell-type reinforced concrete structures.” J. Eng. Mech., 133(6), 677–687.
Willam, K. J., and Warnke, E. P. (1975). “Constitutive model for triaxial behavior of concrete.” Proc. IABSE, 19, 1–30.
Yamamoto, T., and Vecchio, F. J. (2001). “Analysis of reinforced concrete shells for transverse shear and torsion.” ACI Struct. J., 98(2), 191–200.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 134 • Issue 12 • December 2008
Pages: 1862 - 1872
Copyright
© 2008 ASCE.
History
Received: Jan 27, 2006
Accepted: May 7, 2008
Published online: Dec 1, 2008
Published in print: Dec 2008
Notes
Note. Associate Editor: Khalid M. Mosalam
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