Nonlinear Analysis of Reinforced‐Concrete Shells
Publication: Journal of Structural Engineering
Volume 119, Issue 12
Abstract
Nonlinear finite element procedures are presented for the analysis of reinforced‐concrete shell structures. Cracked concrete is treated as an orthotropic material using a smeared rotating crack approach. The constitutive model adopted for concrete compression response accounts for reductions in strength and stiffness due to the presence of transverse cracks. The model used for concrete in tension represents the tension stiffening effects that significantly influence postcracking response. A heterosis‐type degenerate isoparametric quadrilateral element is developed using a layered‐element formulation, which rigorously considers out‐of‐plane shear response. Selective integration is used to avoid shear‐locking and zero‐energy problems. Good stability and convergence characteristics are provided by the iterative, full‐load secant stiffness solution procedure employed. Simple test elements are used to confirm the analytical procedure's ability to accurately model behavior under conditions of membrane load, flexure, and out‐of‐plane shear. Plate specimens and column‐slab strip specimens are used to investigate the ability to model complex structural behavior influenced by geometric and material nonlinearities.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Adebar, P. E. (1989). “Shear design of concrete offshore structures.” Publication No. x‐x, PhD thesis, Univ. of Toronto, Toronto, Canada.
2.
Aghayere, A. O., and MacGregor, J. G. (1990). “Tests of reinforced concrete plates under combined in‐plane and transverse loads.” ACI Struct. J., 87(6), 615–622.
3.
Balakrishnan, S., and Murray, D. W. (1988). “Concrete constitutive model for NLFE analysis of structures.” J. Struct. Engrg., ASCE, 114(7), 1449–1466.
4.
Collins, M. P., and Porasz, A. (1989). “Shear strength for high strength concrete.” Bulletin D'Information No. 193—Design Aspects of High Strength Concrete, Comité European du Beton, (CEB), Paris, France, 75–83.
5.
Hinton, E., and Owen, D. R. J. (1984). Finite element software for plates and shells. Pineridge Press Ltd., Swansea, U.K.
6.
Hu, H., and Schnobrich, W. C. (1990). “Nonlinear analysis of cracked reinforced concrete.” ACI Struct. J., 87(2), 199–207.
7.
Izumo, J., Shin, H., Maekawa, K., and Okamura, H. (1992). “An analytical model for RC panels subjected to in‐plane stresses.” Concrete Shear in Earthquake, Elsevier Appl. Sci., New York, N.Y., 206–215.
8.
Massicotte, B., MacGregor, J. G., and Elwi, A. E. (1990). “Behaviour of concrete panels subjected to axial and lateral loads.” J. Struct. Engrg., ASCE, 116(9), 2324–2343.
9.
Polak, M. A. (1992). “Nonlinear analysis of reinforced concrete shells,” PhD thesis, Univ. of Toronto, Toronto, Canada.
10.
Polak, M. A., and Vecchio, F. J. (1993). “Reinforced concrete shell elements subjected to bending and membrane loads.” ACI Struct. J., (in press).
11.
Scordelis, A. C., and Chan, E. C. (1987). “Nonlinear analysis of reinforced concrete shell.” Computer Applications in Concrete Technology, ACI SP‐98, American Concr. Inst., Detroit, Mich., 25–57.
12.
Thorenfeldt, E., Tomaszewicz, A., and Jensen, J. J. (1987). “Mechanical properties of high‐strength concrete and application in design.” Proc. Symp.‐Utilization of High‐Strength Concrete, Stavanger, Norway.
13.
Vecchio, F. J. (1989). “Nonlinear finite element analysis of reinforced concrete membranes.” ACI Struct. J., 86(1), 26–35.
14.
Vecchio, F. J. (1990). “Reinforced concrete membrane element formulations.” J. Struct. Engrg., ASCE, 116(3), 730–750.
15.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” J. ACI, 83(2), 219–231.
16.
Vecchio, F. J., and Tang, K. (1990). “Membrane action in reinforced concrete slabs.” Can. J. Civ. Engrg., 17(5), 686–697.
Information & Authors
Information
Published In
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Oct 23, 1992
Published online: Dec 1, 1993
Published in print: Dec 1993
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.