Nonlinear Finite Element Analysis of Reinforced Concrete Columns

- Journal title : Journal of the Korea Concrete Institute
- Volume 16, Issue 3, 2004, pp.397-406
- Publisher : Korea Concrete Institute
- DOI : 10.4334/JKCI.2004.16.3.397

Title & Authors

Nonlinear Finite Element Analysis of Reinforced Concrete Columns

Kwon Minho; Chang Chun Ho;

Kwon Minho; Chang Chun Ho;

Abstract

A recently developed three dimensional concrete law is used for the analysis of concrete specimens and reinforced concrete columns subjected to different load patterns. The hypoelastic, orthotropic concrete constitutive model includes coupling between the deviatoric and volumetric stresses, works with both proportional and non-proportional loads and is implemented as a strain driven module. The FE implementation is based on the smeared crack approach with rotating cracks parallel to the principal strain directions. The concrete model is validated through correlated studies with: (a) experimental tests on confined concrete cylinders; (b) experimental results on three reinforced concrete columns tested at the University of California, San Diego. The correlations are overall very good, and the FE responses capture all the main phenomena observed in the experimental tests.

Keywords

constitutive model;finite element analysis;concrete;hypoelastic model;orthotropic model;

Language

Korean

Cited by

1.

2.

References

1.

Darwin, D., 'Reirforced concrete. in finite element analysis of reinforced concrete II,' ASCE, 1993, pp.203-232

2.

권민호, 조창근, '구속응력을 받는 콘크리트 구조물 해석을 위한 콘크리트 구성모델', 콘크리트학회지, 15권, 3호, 2003, pp.433-442

3.

Gerstle, K.H., 'Behavior of concrete under multiaxial stress states,' J. of Engrg. Mech. Div., ASCE, Vol.106, No.6, 1980, pp.1383-1403

4.

Darwin, D. and Pecknold, D.A., 'Nonlinear biaxial stress-strain law for concrete,' J. Engrg. Mech Div., ASCE, Vol.103, No.2, 1977, pp.229-241

5.

Lekhnitskii, S.G., 'Theory of elasticity of an anisotropic elastic body,' Julius Journal Brandstatter ed., Holden Day, Inc., San Francisco, CA, 1963

6.

Kwon, M, 'Three dimensional finite element analysis of reinforced concrete members,' Ph.D dissertation, Dept. of Civil, Environmental, and Architectural Engineering, University of Colorado at Boulder, 2000

7.

Popovics, S., 'Numerical approach to the complete stress-strain relation for concrete,' Cement and Concrete Research, Vol.3, No.5, 1973, pp.583-599

8.

Saenz, I.P., 'Discussion of 'Equation for the Stress-strain curve of concrete,' by P. Desay and S. Krishan, ACI Journal, Vol.61, No.9, 1964, pp.1229-1235

9.

Willam, K.J. and Warnke, E.P., 'Constitutive model for fhe triaxial behavior of concrete,' Int. Association for Bridge and Struct. Engrg. Proc, Vol.19, 1975, pp.1-30

10.

Menetrey, Ph. and Willam, KJ., 'Thaxial failure criterion for concrete and its generalization,' ACI Structural Journal, Vol.92, No.3, 1995, pp.311-318

11.

Comit$\'{e}$ Euro-International du B$\'{e}$ ton, 'Concrete under multi-axial states of stress constitutive equations for practical design,' Bulletine d'Information 156, 1983

12.

Simth, S.S., Willam, KJ., Gerstle, K.H., and Sture, S., 'Concrete over the top, or: is there life after peak?' ACI Journal, Vol.86, No.5, 1989, pp.491-497

13.

Gerstle, K.H., 'Simple formulation of triaxial concrete behavior,' ACI Journal proceedings, Vol.78, No.1, 1981, pp.62-68

14.

Lotfi, H.R. and Shing, P.B., 'Embedded representation of fracture in concrete with mixed finite elements,' International Journal for Numerical Methods in Engineering, Vol.38, 1995, pp.63-80

15.

Rots, J. and Blaauwendraad, J., 'Crack model for concrete: discrete or smeared? fixed, multi-directional or rotating?,' Heron, 34(1), Delft University of Technology, the Netherlands, 1989

16.

Milford, R.V., 'The application of the rotating crack model to the analysis of reinforced concrete shells,' Computer & Structures, Vol.20, No.3, 1985, pp.225-234.

17.

Taylor, R.L., 'FEAP User Manual ver.7.1,' Univ. of California, Berkeley, Department of Civil and Environmental Engineering, 1999

18.

Hurlbut, B.J., 'Experimental and computational investigation of strain-softening in concrete,' Report AFOSR 82-0273, CEAE Department, University of Colorado at Boulder, 1985

19.

Lee, Y-H and Willam, K.J., 'Mechanical properties of concrete in uniaxial compression,' ACI Material Journal, Vol.94, No.6, 1997, pp.457-471

20.

Xiao, Y., Preiestley, M.J.N., and Seible, F., 'Steel jacket retrofit for enhancing shear strength of short rectangular reinforced concrete columns,' Report No.SSRP-92/07, University of California, San Diego, 1993