TECHNICAL PAPERS
Sep 1, 1992

Finite Element Modeling of Concrete Expansion and Confinement

Publication: Journal of Structural Engineering
Volume 118, Issue 9

Abstract

The lateral expansion of concrete subjected to compression (i.e., the Poisson effect) is shown to be a significant factor influencing the behavior of reinforced concrete elements in tension‐compression states in which the principal tensile strain is relatively small. A method is presented by which concrete lateral expansion can be incorporated into a nonlinear finite element algorithm. The formulations presented presume the use of a secant‐stiffness‐based solution procedure, involving the concept of material prestrains. Material behavior models are described for nonlinear concrete expansion, strength reduction due to transverse cracking, strength enhancement due to confinement, and pre‐ and post ultimate stress‐strain response. The accuracy of the formulations are examined through finite element analyses of a number of shear panels and shear walls previously tested. It is shown that the inclusion of concrete lateral expansion can, in some cases, significantly alter the computed response of an element or structure. Further, it is shown that the consideration of expansion and confinement effects generally results in a significant improvement in the accuracy of the analysis.

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References

1.
Hu, H. T., and Schnobrich, W. C. (1990). “Nonlinear analysis of cracked reinforced concrete.” Am. Concr. Inst. Struct. J., 87(2), 199–207.
2.
Kupfer, H., Hilsdorf, H. K., and Rüsch, H. (1969). “Behavior of concrete under biaxial stress.” J. Am. Concr. Inst., 66(8), 656–666.
3.
Lefas, I. D., Kotsovos, M. D., and Ambraseys, N. N. (1990). “Behavior of reinforced concrete structural walls: Strength, deformation characteristics, and failure mechanism.” Am. Concr. Inst. Struct. J., 87(1), 23–31.
4.
Richart, F. E., Brandzaeg, A., and Brown, R. L. (1928). “A study of the failure of concrete under combined compressive stresses.” Bull. No. 185, Univ. of Illinois Engineering Experimental Station, Urbana, Ill.
5.
Scott, B. D., Park, R., and Priestley, M. J. N. (1982). “Stress‐strain behavior of concrete confined by overlapping hoops at low and high strain rates.” J. Am. Concr. Inst., 79l)1), 13–27.
6.
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.
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Vecchio, F. J. (1989). “Nonlinear finite element analysis of reinforced concrete membranes.” Am. Concr. Inst. Struct. J., 86(1), 26–35.
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Vecchio, F. J. (1990). “Reinforced concrete membrane element formulations.” J. Struct. Engrg., ASCE, 116(3), 730–750.
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Weaver, W., Jr., and Johnston, P. R. (1984). Finite elements for structural analysis. Prentice‐Hall, Englewood Cliffs, N.J.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 118Issue 9September 1992
Pages: 2390 - 2406

History

Published online: Sep 1, 1992
Published in print: Sep 1992

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Authors

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F. J. Vecchio
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Toronto, 35 St. George St., Toronto, Canada M5S 1A4

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