TECHNICAL PAPERS
Feb 1, 1986

Parameters Affecting FE Analysis of Concrete Structures

Publication: Journal of Structural Engineering
Volume 112, Issue 2

Abstract

The effects of the shape of the descending branch of the tensile stress‐strain curve, fracture energy, grid refinement, and load‐step size on the response of finite element models of a notched concrete beam are studied. The width of the process zone and constraints imposed on crack angles are also investigated. Cracking of the concrete in tension is the only nonlinear behavior modeled. Load‐deflection curves and general cracking patterns provide the primary means for evaluating response. Comparisons with discrete crack models are made. The fracture energy, tensile strength, and shape of the descending branch interact to determine the stiffness and general behavior of the specimen. The width of the process zone has a negligible influence on the beam's response. The importance of proper crack orientation is demonstrated. The model is objective with respect to grid refinement and load‐step size. The implications of the results are discussed with respect to modeling reinforced concrete structures.

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References

1.
Bažant, Z. P., “Fracture in Concrete and Reinforced Concrete,” Preprints of William Prager Symposium on Mechanics of Geomaterials: Rocks, Concretes, Soils, 1983, pp. 291–316.
2.
Bažant, Z. P., “Instability, Ductility, and Size Effect in Strain‐Softening Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 102, No. EM2, Apr., 1976, pp. 331–344.
3.
Bažant, Z. P., and Oh, B. H., “Crack Band Theory for Fracture of Concrete,” Materiaux et Constructions, June, 1983, pp. 155–177.
4.
Darwin, D., and Attiogbe, E. K., “Load Induced Cracks in Cement Paste,” Proceedings of the Fourth Engineering Mechanics Division Specialty Conference, Recent Advances in Engineering Mechanics and Their Impact on Civil Engineering Practice, Vol. II, ASCE, New York, NY, 1983, pp. 1051–1054.
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Darwin, D., and Pecknold, D. A., “Analysis of RC Shear Panels Under Cyclic Loading,” Journal of the Structural Engineering Division, ASCE, Vol. 102, No. ST2, Feb., 1976, pp. 355–369.
6.
Dodds, R. H., Darwin, D., Smith, J. L., and Leibengood, L. D., “Grid Size Effects with Smeared Cracking in Finite Element Analysis of Reinforced Concrete,” Structural Engineering and Engineering Materials SM Report No. 6, Univ. of Kansas Center for Research, Inc., Lawrence, KS, Aug., 1982, 118 pp.
7.
Dodds, R. H., Darwin, D., and Leibengood, L. D., “Stress Controlled Cracking in R/C Beams,” Journal of Structural Engineering, ASCE, Vol. 110, No. 9, Sep., 1984, pp. 1959–1976.
8.
Leibengood, L. D., Darwin, D., and Dodds, R. H., “Finite Element Analysis of Concrete Fracture Specimens,” Structural Engineering and Engineering Materials SM Report No. 11, Univ. of Kansas Center for Research, Inc., Lawrence, KS, May, 1984, 120 pp.
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Petersson, P.‐E., “Crack Growth and Development of Fracture Zones in Plain Concrete and Similar Materials,” Report TVBM‐1006, Division of Building Materials, Univ. of Lund, Sweden, 1981, 174 pp.
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Task Committee on Finite Element Analysis of Reinforced Concrete Structures, State‐of‐the‐Art Report on Finite Element Analysis of Reinforced Concrete, ASCE, New York, NY, 1982, 545 pp.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 2February 1986
Pages: 326 - 341

History

Published online: Feb 1, 1986
Published in print: Feb 1986

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Authors

Affiliations

Linda D. Leibengood, A. M. ASCE
Mathematician, US Army Materials and Mechanics Research Center, Watertown, MA 02172
David Darwin, M. ASCE
Prof. of Civ. Engrg. and Dir., Structural Engrg. and Materials Laboratories, Univ. of Kansas, Lawrence, KS 66045
Robert H. Dodds, M. ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Kansas, Lawrence, KS 66045

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