TECHNICAL PAPERS
Jul 1, 1988

Concrete Constitutive Model for NLEE Analysis of Structures

Publication: Journal of Structural Engineering
Volume 114, Issue 7

Abstract

A simple constitutive model for ‘smeared cracking’ nonlinear finite element analysis of reinforced concrete structures is described. The model divides the uniaxial response curve for concrete into fivedamage regions, described as linear elastic; compressive strain hardening; compressive strain softening; tensile strain softening; and tensile stiffening regions. Recommendations for incorporating strain localization effects into homogenized material properties in the softening regions are given. The effect of biaxial stress conditions on peak strengths is represented by a variation of the Kupfer‐Hilsdorf failure curve in stress space, in which the compressive and tensile envelopes are separately specified. Recommendations for the effects of tensile cracking and confinement on the shear modulus and the compressivesoftening modulus, respectively, are included. The central thrust of the paper is to incorporate those attributes of the constitutive model which affect the prediction of structural failure modes as the nature of thestructures varies.

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References

1.
Balakrishnan, S., and Murray, D. W. (1986). “Finite element prediction of reinforced concrete behavior.” Struct. Engrg. Report No. 138, Univ. of Alberta, Edmonton, Alberta, Canada.
2.
Balakrishnan, S., and Murray, D. W. (1988a). “Prediction of R/C panel and deep beam behavior by NLFE Analysis.” J. Struct. Engrg., ASCE, (Accepted for publication).
3.
Balakrishnan, S., Elwi, A. E., and Murray, D. W. (1988b). “Effect of modeling on NLFEA of concrete structures.” J. Struct. Engrg., ASCE, 114(7), 1467–1487.
4.
Bazant, Z. P. (1979). “Critique of orthotropic models and triaxial testing of concrete and soils.” Structural Engineering Report 79‐101640c, Northwestern Univ., Evanston, Illinois.
5.
Bazant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Materials and Structures, RILEM, Paris, 16, 155–177.
6.
Beeby, A. W. (1979). “The prediction of crack widths in hardened concrete.” The Structural Engineer, 57A(1), 9–17.
7.
Comité Euro‐International du Beton (1978). “CEB model code for concrete structures.” International Recommendations, 3rd Ed. Cement and Concrete Association, London, England, 348.
8.
Chen, W. F. (1982). Plasticity in reinforced concrete. McGraw‐Hill Book Co., New York, N.Y.
9.
Chen, W. F., and Saleeb, A. F. (1982). Constitutive equations for engineering materials, vol. 1: elasticity and modeling.” John Wiley and Sons, New York, N.Y., 580.
10.
“Finite element analysis of reinforced concrete.” (1982). State of the Art Report, ASCE, New York, N.Y.
11.
Gupta, A. K., and Akbar, H. (1984). “Cracking in reinforced concrete analysis.” J. Struct. Engrg., ASCE, 110(8), 1735–1746.
12.
Krauthammar, T., and Hall, W. J. (1982). “Modified analysis of reinforced concrete beams.” J. Struct. Div., ASCE, 108(ST2), 457–475.
13.
Kupfer, H., Hilsdorf, H.‐K., and Rusch, H. (1969). “Behavior of concrete under biaxial stresses.” Journal of the Amer. Concrete Inst., Vol. 66, No. 8, pp. 656–666.
14.
Kupfer, H., and Gerstle, K. (1973). “Behavior of concrete under biaxial stresses.” J. Engrg. Mech. Div., 99, (EM4), 853–866.
15.
Leibengood, L. D., Darwin, D., and Dodds, R. H. (1986). “Parameters affecting FE analysis of concrete structures.” J. Struct. Engrg., ASCE, 112, (2), 326–341.
16.
Scanlon, A., and Murray, D. W. (1972). “An analysis to determine the effects of cracking in reinforced concrete slabs.” Proc. of the Specialty Conference on Finite Element in Civil Engineering, McGill Univ., Montreal, 841–847.
17.
Vallenas, J., Bertero, V. V., and Popov, E. P. (1977). “Concrete confined by rectangular hoops and subjected to axial loads.” Report No. UCB/EERC 77113, Univ. of California, Berkeley.
18.
Vecchio, F., and Collins, M. P. (1982). “The response of reinforced concrete to in‐plane shear and normal stresses.” Publication No. 82‐03, Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Canada.
19.
Willam, K. J., and Sture, S. (1985). “A composite fracture model for localized failure in cementitious materials.” Proc. of the Second Symposium on the Interaction of Non‐Nuclear Munitions with Structure, Panama City Beach, Fla., 272–277.
20.
Winter, G., and Nilson, A. H. (1979). Design of concrete structures, 9th Ed., McGraw‐Hill, New York, N.Y.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 114Issue 7July 1988
Pages: 1449 - 1466

History

Published online: Jul 1, 1988
Published in print: Jul 1988

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Authors

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Samanaidu Balakrishnan
Res. Assoc., Dept. of Civ. Engrg., Univ. of Alberta, Edmonton, Canada, T6G 2G7
David W. Murray, Member, ASCE
Prof. of Civ. Engrg., Univ. of Alberta, Edmonton, Canada T6G 2G7

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