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Nonlinear Finite Element Analysis of Reinforced Concrete Columns

철근콘크리트 기둥의 3차원 비선형 유한요소 해석

  • Kwon Minho (Engineering Research Institute, Dept. of Civil Eng., Geyongsang National University) ;
  • Chang Chun Ho (Dept. of Civil Eng., Keimyoung University)
  • 권민호 (경상대학교 토목공학과) ;
  • 장준호 (계명대학교 공과대학 토목공학과)
  • Published : 2004.06.01

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.

최근 개발된 3차원 콘크리트 구성모델을 사용하여 구속을 받는 콘크리트와 철근콘크리트 기둥의 해석을 수행하였다. 편차응력과 체적응력 간의 상호작용이 포함되어있고, 비례 및 비례하지 않는 하중을 받는 경우에도 적용 가능한 아탄성 직교 콘크리트 구성모델을 변형률 제어 모델로 전산화하였다. 유한요소 전산화 과정에서 손상균열모델을 사용하였고, 균열은 주변형률 방향에 따라 회전 가능한 것으로 모델링하였다. 콘크리트 구성모델을 구속을 받는 콘크리트 공시체의 실험결과 그리고 캘리포니아 대학(샌디에고)에서 수행된 3개의 철근콘크리트 기둥의 실험결과와 비교하였다. 이를 통하여 비선형 콘크리트 구성모델에 근거한 유한요소해석 결과가 실험에서 관찰된 주요한 특징들을 잘 예측하고 있음을 보여주었다.

Keywords

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 https://doi.org/10.4334/JKCI.2003.15.3.433
  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 https://doi.org/10.1016/0008-8846(73)90096-3
  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 https://doi.org/10.1002/nme.1620380105
  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. https://doi.org/10.1016/0045-7949(85)90071-9
  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

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