Nonlinear Finite Element Analysis of Reinforced Concrete Panels
Publication: Journal of Structural Engineering
Volume 113, Issue 1
Abstract
A complete constitutive relationship for the time‐independent nonlinear behavior of reinforced concrete is presented. The nonlinear features include the inelastic responses of concrete and steel reinforcements, prediction of concrete fracture under multiaxial stress states, and post‐failure behavior of fractured concrete. Moreover, the interaction effects between concrete and steel rebars are included in finite element stiffness calculations by considering tension stiffening and shear transferring due to dowel actions. The constitutive relationship was implemented into a nonlinear finite element program to investigate the deformation behavior of four reinforced concrete panels. Numerical results obtained from the finite element analysis are compared favorably with the available experimental data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Aktan, A. E., and Pecknold, D. A., “Response of a Reinforced Concrete Section to Two‐Dimensional Curvature Histories,” American Concrete Institute Journal, Vol. 71, No. 5, May, 1974, pp. 246–250.
2.
Al‐Mahaidi, R. S. H., “Non‐Linear Finite Element Analysis of Reinforced Concrete Deep Member,” thesis presented to Cornell University, Ithaca, N.Y., 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
ASCE‐ACI Task Committee, “State‐of‐the‐Art Report on Finite Element Analysis of Reinforced Concrete,” ASCE Special Publication, New York, N.Y., 1982.
4.
Bashur, F. K., and Darwin, D., “Nonlinear Model for Reinforced Concrete Slabs,” Journal of the Structural Division, ASCE, Vol. 104, No. ST1, Jan., 1978, pp. 157–170.
5.
Bazant, Z. P., “Endochronic Inelasticity and Incremental Plasticity,” International Journal of Solids and Structures, Vol. 14, 1978, pp. 691–714.
6.
Bazant, Z. P., and Bhat, P. D., “Endochronic Theory of Inelasticity and Failure of Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 102, No. EM4, Aug., 1976, pp. 701–722.
7.
Bazant, Z. P., and Cedolin, L., “Blunt Crack Band Propagation in Finite Element Analysis,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM2, Apr., 1979, pp. 297–315.
8.
Bazant, Z. P., and Cedolin, L., “Fracture Mechanics of Reinforced Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM6, Dec., 1980, pp. 1287–1306.
9.
Bazant, Z. P., and Cedolin, L., “Finite Element Modeling of Crack Band Propagation,” Journal of the Structural Division, ASCE, Vol. 109, No. St1, Jan., 1983, pp. 69–92.
10.
Bazant, Z. P., and Kim, S. S., “Plastic‐Fracturing Theory of Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM3, June, 1979, pp. 407–428.
11.
Bazant, Z. P., and Shieh, C. L., “Endochroic Model for Nonlinear Triaxial Behavior of Concrete,” Nuclear Engineering and Design, Vol. 47, 1978, pp. 305–315.
12.
Bazant, Z. P., and Shieh, C. L., “Hysteretic Fracturing Endochronic Theory for Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM6, Dec., 1980, pp. 929–950.
13.
Buyukozturk, O., “Nonlinear Analysis of Reinforced Concrete Structures,” Computers and Structures, Vol. 7, Feb., 1977, pp. 149–156.
14.
Buyukozturk, O., Connor, J. J., and Leombruni, P., “Research on Modeling Shear Transfer in Reinforced Concrete Nuclear Structures,” Nuclear Engineering and Design, Vol. 59, 1980, pp. 67–83.
15.
Cedolin, L., Crutzen, Y. R. J., and Poli, S. D., “Triaxial Stress Strain Relationship for Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 103, No. EM3, June, 1977, pp. 423–439.
16.
Cedolin, L., and Poli, S. D., “Finite Element Studies of Shear Critical Beams,” Journal of the Engineering Mechanics Division, ASCE, Vol. 103, No. EM3, June, 1977, pp. 423–440.
17.
Chen, A. C. T., and Chen, W. F., “Constitutive Relations for Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 101, No. EM4, Aug., 1975, pp. 465–481.
18.
Chen, A. C. T., and Chen, W. F., “Constitutive Equations and Punch‐Indentation of Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 101, No. EM6, Dec., 1975, pp. 889–906.
19.
Chen, W. F., and Ting, E. C., “Constitutive Models for Concrete Structures,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM1, Feb., 1980, pp. 1–19.
20.
Coon, M. D., and Evans, R. J., “Incremental Constitutive Laws and Their Associated Failure Criteria with Application to Plain Concrete,” International Journal of Solids and Structures, Vol. 8, 1972, pp. 1169–1183.
21.
Crisfield, M. A., “Local Instabilities in the Non‐Linear Analysis of Reinforced Concrete Beams and Slabs,” Proceedings of the Institutions of Civil Engineers, Part 2, Vol. 73, Mar., 1982, pp. 135–145.
22.
Darwin, D., and Pecknold, D. A., “Analysis of RC Shear Panels Under Cyclic Loading,” Journal of the Structural Division, ASCE, Vol. 102, No. ST2, Feb., 1976, pp. 355–369.
23.
Darwin, D., and Pecknold, D. A., “Nonlinear Biaxial Stress‐Strain Law for Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 103, No. EM2, Apr., 1977, pp. 229–241.
24.
Elwi, A. A., and Murray, D. W., “A 3D Hypoelastic Concrete Constitutive Relationship,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM4, Aug., 1979, pp. 623–641.
25.
Fenwick, R. C., and Pauley, T., “Mechanisms of Shear Resistance of Concrete Beams,” Journal of the Structural Division, ASCE, Vol. 94, No. ST10, Oct., 1968, pp. 2325–2350.
26.
Gerstle, K. H., “Simple Formulation of Biaxial Concrete Behavior,” American Concrete Institute Journal, Vol. 78, No. 1, Jan., 1981, pp. 62–68.
27.
Gilbert, R. I., and Warner, R. F., “Tension Stiffening in Reinforced Concrete Slabs,” Journal of the Structural Division, ASCE, Vol. 104, No. ST12, Dec., 1978, pp. 1885–1900.
28.
Greunen, J. V., “Nonlinear Geometric, Material and Time Dependent Analysis of Reinforced and Prestressed Concrete Slabs and Panels,” thesis presented to the University of California, Berkeley, Calif., in Oct., 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
29.
Hand, F. R., Pecknold, D. A., and Schnobrich, W. C., “Nonlinear Layered Analysis of RC Plates and Shells,” Journal of the Structural Division, Vol. 99, No. ST7, July, 1973, pp. 1491–1505.
30.
Jimenz, R., Gergely, P., and White, R. N., “Bond and Dowel Capacities of Reinforced Concrete,” American Concrete Institute Journal, Vol. 76, No. 1, Jan., 1979, pp. 73–92.
31.
Kent, D. C., and Park, R., “Flexural Members with Confined Concrete,” Journal of the Structural Division, ASCE, Vol. 97, No. ST7, July, 1971, pp. 1969–1990.
32.
Kupfer, H. B., Hilsdorf, H. K., and Rusch, H., “Behavior of Concrete Under Biaxial Stresses,” American Concrete Institute Journal, Vol. 66, Aug., 1969, pp. 656–666.
33.
Lin, C. S., and Scordelis, A. C., “Nonlinear Analysis of RC Shells of General Form,” Journal of the Structural Division, ASCE, Vol. 101, No. ST3, Mar., 1975, pp. 523–538.
34.
Lin, C. S., and Scordelis, A. C., “Finite Element Study of a Reinforced Concrete Cylindrical Shell Through Elastic, Cracking, and Ultimate Ranges,” American Concrete Institute Journal, Vol. 72, Nov., 1975, pp. 628–633.
35.
Liu, T. C. Y., Nilson, A. H., and Slate, F. O., “Biaxial Stress‐Strain Relations for Concrete,” Journal of the Structural Division, Vol. 98, No. ST5, May, 1972, pp. 1025–1034.
36.
Liu, T. C. Y., Nilson, A. H., and Slate, F. O., “Stress‐Strain Response and Fracture of Concrete in Uniaxial and Biaxial Compression,” American Concrete Institute Journal, Vol. 69, May, 1972, pp. 291–295.
37.
Murray, D. W., Chitnuyanondh, L., Rijub, A. K. Y., and Wong, C., “Concrete Plasticity Theory for Biaxial Stress Analysis,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM6, Dec., 1979, pp. 989–1006.
38.
Ngo, D., and Scordelis, A. C., “Finite Element Analysis of Reinforced Concrete Beams,” American Concrete Institute Journal, Vol. 64, No. 3, Mar., 1967, pp. 152–163.
39.
Nilson, A. H., “Nonlinear Analysis of Reinforced Concrete by the Finite Element Analysis,” American Concrete Institute Journal, Vol. 65, No. 9, Sept., 1968, pp. 757–766.
40.
Ottosen, N. S., “Constitutive Model for Short‐Time Loading of Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM1, Feb., 1979, pp. 127–141.
41.
Ottosen, N. S., “2‐D Finite Element Analysis of Massive RC Structures,” Journal of the Structural Division, ASCE, Vol. 108, No. ST8, Aug., 1982, pp. 1874–1893.
42.
Palaniswamy, R., and Shah, S. P., “Fracture and Stress‐Strain Relationship of Concrete Under Triaxial Compression,” Journal of the Structural Division, ASCE, Vol. 100, No. ST5, May, 1974, pp. 901–916.
43.
Rashid, Y. R., “Analysis of Prestressed Concrete Pressure Vessels,” Nuclear Engineering and Design, Vol. 7, No. 4, Apr., 1968, pp. 334–344.
44.
Scanlon, A., and Murray, D. W., “Time‐Dependent Reinforced Concrete Slab Deflections,” Journal of the Structural Division, ASCE, Vol. 100, No. ST4, Sept., 1974, pp. 1911–1924.
45.
Taniguchi, H., “Nonlinear Analysis of Reinforced Concrete Structures by Finite Element Method,” thesis presented to the University of Akron, Akron, Ohio, in 1984, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
46.
Valanis, K. C., “A Theory of Viscoplasticity Without a Yield Surface,” Archiwum Mechanik Stossowanej, Vol. 23, 1971, pp. 517–551.
47.
Veccio, F., and Collins, M. P., “Stress‐Strain Characteristics of Reinforced Concrete in Pure Shear,” Advanced Mechanics of Reinforced Concrete, IABSE Report, Vol. 31, Delft, The Netherlands, 1981, pp. 35–42.
48.
Vecchio, F., and Collins, M. P., “The Response of Reinforced Concrete to In‐Plane Shear and Normal Stresses,” Publication No. 82–03, University of Toronto, Toronto, Canada, 1982.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 113 • Issue 1 • January 1987
Pages: 122 - 140
Copyright
Copyright © 1987 ASCE.
History
Published online: Jan 1, 1987
Published in print: Jan 1987
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.