A Concrete Model for Analysis of Concrete Structure with Confinement

- Journal title : Journal of the Korea Concrete Institute
- Volume 15, Issue 3, 2003, pp.433-442
- Publisher : Korea Concrete Institute
- DOI : 10.4334/JKCI.2003.15.3.433

Title & Authors

A Concrete Model for Analysis of Concrete Structure with Confinement

Kwon, Min-Ho; Cho, Chang-Geun;

Kwon, Min-Ho; Cho, Chang-Geun;

Abstract

This paper presents a hypoplastic model for three-dimensional analysis of concrete structures under monotonic, cyclic, proportional and non-proportional loading. The constitutive model is based on the concept of equivalent uniaxial strains that allows the assumed orthotropic model to be described via three equivalent uniaxial stress-strain curves. The characteristics of these curves are obtained from the ultimate strength surface in the principal stress space based on the Willam-Warnke curve. A cap model is added to consider loading along or near the hydrostatic axis. The equivalent uniaxial curve is based on the Popovics and Saenz models. The post-peak behavior is adjusted to account for the effects of confinement and to describe the change in response from brittle to ductile as the lateral confinement increases. Correlation studies with available experimental tests are presented to demonstrate the model performance. Tests with monotonic loading on specimens under constant lateral confinement are considered first, followed by biaxial and triaxial tests with cyclic loads. The triaxial test example considers non-proportional loading.

Keywords

constitutive model;finite element anlysis;concrete;hypoplastic model;orthotropic model;

Language

Korean

Cited by

References

1.

S.S. Smith, K.J., Willam, K.H., Gerstle S., and Sture, 'Concrete over the top, or: is there life after peak,' ACI Journal,86(5), 1989, pp.491-497

2.

H.D.Kang, E. Spacone, and K.J. Willam, 'A study of compressive failure in over-reinforced concrete beams,' FRAMCOS-3, Gifu, Japan, October 12-16, 2, 1998, pp.1195-1210

3.

B.J. Hurlbut, 'Experimental and computational investigation of strain softening in concrele' Report AFOSR 80-0273 submitted to the US Air Force Office of Scientific Research, University of Colorado, Boulder, 1985

4.

D.C. Jansen, S.P. Shah, and E.C. Rossow, 'Stress -strain results of concrete from circumferential strain feedback control testing,' ACI structural Journal, 92(6), 1995, pp.419-428

5.

H.B. Kupfer, H.K. Hilsdorf and H. Rusch, 'Behavior of concrete under biaxial stresses,' ACI Journal, 66(8), 1969, pp.656-666

6.

R Scavuzzo, T. Stancowski, K Gerstle, and H-Y. Ko, 'Stress-strain curves for concrete under multiaxiaI load histories,' NSF CME 80-01508, Dept. of CEAE, University of Colorado, Boulder, 1983

7.

J.G.M. van Mier, 'Strain-softening of concrete under multiaxial loading conditions,' PhD thesis, Eindhoven Univ. of Technology, Eindhoven, the Netherlands, 1984

8.

KJ. Willam, K.J., B. Hurlbut, and S. Sture, 'Experimental and constitutive aspects of concrete failure,' Finite element analysis of reinforced concrete structures, Meyer and Okaimure, eds, ASCE, New York, N.Y., 1986

9.

D. Darwin and D.A. Pecknold, 'Nonlinear biaxial stress-strain law for concrete,' journal Engrg. Mech. Div., ASCE, Vol.l03, No.2, 1977, pp.229-241

10.

F.K. Bashur and D. Darwin, 'Nonlinear biaxial law for concrete,' Journal Struct. Div., ASCE, Vol.104, No.1, 1978, pp.157-170

11.

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

12.

T.A. Balan, F.C. Filippou, and E.P. Popov, 'Constitutive model for 3D cyclic analysis of concrete structures' Journal Engrg. Mech. Div., ASCE, Vo1.123, No.2, 1997, pp.143-153

13.

A.A. Elwi and D.W. Murray, 'A 3D hypoelastic concrete constitutive relationship,' journal Engrg. Mech. Div., ASCE, Vol.105, No.4, 1979, pp.623-641

14.

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

15.

Ph. Menetrey and K.J. Willam, 'Triaxial failure criterion for concrete and its generalization,' ACI Structural journal, Vo1.92, No.3, 1995, PP.311-318

16.

I.P. Saenz, 'Discussion of 'Equation for the Stress-strain curve of concrete, by P. Desay and S. Krishan,' ACI Journal, Vo1.61, No.9, 1964, pp.1229-1235

17.

A. Bouzaiene and B. Massicotte, 'Hypoelastic tridimensional model for nonproportional loading of plain concrete,' Journal Engrg. Mech. Div., ASCE, Vol.123, No.11, 1997, pp.1111-1120

18.

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

19.

W.F. Chen, 'Plasticity in reinforced concrete, McGraw-Hill, New York, N.Y , 1982

20.

Z.P. Bazant, 'Comment on orthotropic models for concrete and geomaterials,' Journal Engrg. Mech Div., ASCE, Vol.109, No.3, 1983, pp.849-865

21.

R.L. Taylor, FEAP User Manual v7.1, University of Califorinia, Berkeley, Department of Civil and Environmenental Engineering, 1999

22.

D. Kolymbas, 'An outline of hypoplastidty,' Arch AppI. Mech., 61, pp.143-151, 1991