TECHNICAL PAPERS
Jun 1, 1991

Toward Compression‐Field Analysis of Reinforced Concrete Solids

Publication: Journal of Structural Engineering
Volume 117, Issue 6

Abstract

Finite‐element formulations are presented for the analysis of reinforced concrete solids. Cracked reinforced concrete is treated as an orthotropic nonlinear elastic material based on a smeared, rotating crack model. Secant‐stiffness moduli are defined for concrete and reinforcement, and these are used in the development of an eight‐noded regular hexahedral element. Procedures are discussed by which the formulations can be implemented into existing linear elastic algorithms to provide nonlinear analysis capabilities. The constitutive relations implemented in the formulations are relations extrapolated from the two‐dimensional models of the modified compression field theory (MCFT). The accuracy of the constitutive models and finite‐element formulations are examined by analyzing a series of overreinforced beams subjected to bending and torsion. Excellent agreement is found between predicted and observed response. The performance characteristics and potential applications of the analysis procedure are discussed, and areas in need of further research are identified.

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References

1.
Adeghe, L. N. (1986). “A finite element model for studying reinforced concrete detailing problems,” thesis presented to the University of Toronto, at Toronto, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Collins, M. P., Vecchio, F. J., and Mehlhorn, G. (1985). “An international competition to predict the response of reinforced concrete panels.” Canadian J. of Civ. Engrg., 12(3), 626–644.
3.
Cook, R. D. (1981). Finite element concepts and applications, 2nd Ed., John Wiley and Sons, New York, N.Y.
4.
Cook, W. D., and Mitchell, D. (1988). “Studies of disturbed regions near discontinuities in reinforced concrete members.” ACI Struct. J., 85(2), 206–216.
5.
Onsongo, W. (1978). “The diagonal compression field theory for reinforced concrete beams subjected to combined torsion, flexure and axial load,” thesis presented to the University of Toronto, at Toronto, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Stevens, N. J., Uzumeri, S. M., and Collins, M. P. (1987). “Analytical modelling of reinforced concrete subjected to monotonic and reversed loading.” Publication Nov. 87‐1, Dept. of Civil Engineering, University of Toronto, Toronto, Canada.
7.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” J. Amer. Concrete Inst., 83(2), 219–231.
8.
Vecchio, F. J. (1989). “Nonlinear finite element analysis of reinforced concrete membranes.” Amer. Concrete Inst. Struct. J., 86(1), 26–35.
9.
Vecchio, F. J. (1990). “Reinforced concrete membrane element formulations.” J. of Struct. Engrg., ASCE, 116(3), 730–750.

Information & Authors

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 6June 1991
Pages: 1740 - 1758

History

Published online: Jun 1, 1991
Published in print: Jun 1991

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Authors

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F. J. Vecchio
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Ontario, Canada, M5S 1A4
R. G. Selby
Doctoral Student, Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Ontario, Canada M5S 1A4

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