DOI QR코드

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Nonlinear Analysis of RC Structures using Isogeometric RM Shell Element

  • Park, Kyoung Sub (Department of Civil Engineering, University of Texas) ;
  • LEE, Sang Jin (ADOPT Research Group, Department of Architectural Engineering, Gyeongsang National University)
  • 투고 : 2017.04.03
  • 심사 : 2018.01.02
  • 발행 : 2018.03.30

초록

Nonlinear analysis of reinforced concrete (RC) structures is performed by using isogeometric Reissner-Mindlin (RM) shell element. The elasto-plastic constitutive model is employed to express the nonlinear behavior of concrete material and the equivalent smeared steel layer is introduced to represent steel reinforcement. The arc-length control method is used to produce the entire load-displacement path of RC structures. Finally, three benchmark tests are carried out to verify the performance of the present shell element. From isogeometric analysis, the present results show a good agreement with experimental results and it is provided as future benchmark test solutions.

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참고문헌

  1. Ahmad, S., Irons, B.M. and Zienkiewicz O.C. (1970) Analysis of thick and thin shell structures by curved finite elements, Int. J. Num. Meth. Engng., 2, 419-451. https://doi.org/10.1002/nme.1620020310
  2. Al-mahaidi, R.S.H. (1979) Nonlinear finite element analysis of reinforced concrete deep members, Report 79-1, Department of Structural Engineering, Cornel University.
  3. Belarbi, A. and Hsu, T.T.C. (1994) Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete, ACI Struct. J., 91(4): 465-474.
  4. Chen W.F. (1982) Plasticity in reinforced concrete, McGraw-Hill Book Company.
  5. Choi C.K. and Cheung S.H. (1996) Tension stiffening model for planar reinforced concrete members, Computers and Structures, 59(1): 179-190. https://doi.org/10.1016/0045-7949(95)00146-8
  6. Cottrell, J.A., Hughes, T.J.R. and Bazilevs, Y. (2009) Isogeometric Analysis: Toward Integration of CAD and FEA, Wiley, Chichester.
  7. Gilbert, R.J. and Warner, R.F. (1978) Tension stiffening in reinforced concrete slabs. J. Struc. Division, ASCE, 104, ST12, 1185-1900.
  8. Hedgren, A.W. and Billington, D.P. (1967) Mortar model test on a cylindrical shell of varying curvature and thickness, ACI J., Proceedings, 64(2): 73-83.
  9. Hinton, E., Rahman, H.H.A. and O.C. Zienkiewicz (1981) Computational strategies for reinforced concrete slab systems. Int. Assoc. Bridge Struc. Eng. Colloquium on adanced mechanics of reinforced concrete, Delft, 303-313.
  10. Huang, H.C. and Hinton, E. (1986) A new nine node degenerated shell element with enhanced membrane and shear interpolation, Int. J. Numer. Meth. Engng, 22: 73-92. https://doi.org/10.1002/nme.1620220107
  11. Hughes. T.J.R., Cottrell, J.A. and Bazilevs, Y. (2005) Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Comput. Methods Appl. Mech. Engrg., 194: 4135-4195. https://doi.org/10.1016/j.cma.2004.10.008
  12. Izumo, J., Shin, H., Maekawa, K. and Okamura, H. (1992) An analytical model for RC panels subjected to in-plane stresses, In: Concrete Shear in Earthquake. Elsevier Applied Science, London, 206-15.
  13. Kwak H.G. and Kim D.Y.(2001) Nonlinear analysis of RC shear walls considering tension-stiffening effect, Computers and Structures, 79: 499-517. https://doi.org/10.1016/S0045-7949(00)00157-7
  14. Kim, N.S., Cho, N.S., Koo, E.S. and Cho, J.Y. (2001) Structural member test of the prestressed concrete containment, Korea Atomic Energy Research Institute, Technical Report, KAERI/CM-493/2001.
  15. Kupfer, H., Hilsdorf, H.K., and Rush, H. (1969) Behavior of concrete under biaxial stresses, JACI, Proc, 66(8): 656-666.
  16. Lee, S.J. (2014). Nonlinear analysis of RC structures using assumed strain RM shell element, Architectural Research, 16(1): 27-35. https://doi.org/10.5659/AIKAR.2014.16.1.27
  17. Lee, S.J. and Kanok-Nukulchai, W. (1998) A nine-node assumed strain finite element for large deformation analysis of laminated shells, Int. J. Numer. Meth. Engng., 42: 777-798. https://doi.org/10.1002/(SICI)1097-0207(19980715)42:5<777::AID-NME365>3.0.CO;2-P
  18. Lee, S.J. and Kim, H.R. (2012) Analysis of plates using isogeometric approach based on Reissner-Mindlin theory, Journal of Architectural Institute of Korea, 28(9): 75-82.
  19. Lee S.J., Lee H.P. and Seo J.M. (2002) The nonlinear finite element analysis program NUCAS, Korea Atomic Energy Research Institute, Technical Report, KAERI/TR-2076/2002.
  20. Lee, S.J. and Park, K.S. (2013) Vibrations of Timoshenko beams with isogeometric approach, Applied Mathematical Modelling, 37: 9174-9190. https://doi.org/10.1016/j.apm.2013.04.034
  21. Lee, S.J. and Park, K.S. (2009) Concrete cracking criteria for the safety assessment of Korea unclear containment building and its use of nonlinear finite element analysis of RC panels, Journal of Architectural Institute of Korea, 25(2): 49-56
  22. Lee S.J. and Seo J.M. (2000) A study on the nonlinear finite element analysis of reinforced concrete structures, Korea Atomic Energy Research Institute, Technical Report, KAERI/TR-1631/2000.
  23. Lin, C.S. and Scordelis, A.C. (1975) Nonlinear analysis of RC shell of general form, Journal of the Structural Division, ASCE, 101(3): 523-538.
  24. McNeice, A.M. (1967) Elastic-Plastic Bending of Plates and Slabs by the Finite Element Method. PhD. Thesis, London University
  25. Ngo, D. and Scordelis, A.C. (1967) Finite element analysis of reinforced concrete beam. ACI Journal, 64(3): 152-163.
  26. Niwa, K. (1980) The structural characteristic of reinforced concrete panel, Msc. Thesis, Department of civil engineering, University of Tokyo.
  27. Owen, D.R.J. and Figueiras, J.A. (1984) Ultimate load analysis of reinforced concrete plates and shells including geometric nonlinear effects, In: Hinton, E., Owen, D.R.J (eds) Finite element software for plates and shells. Pineridge, Swansea.
  28. Owen, D.R.J. and Hinton, E. (1980) Finite elements in plasticity: theory and practice, Pineridge Press Limited Swansea. U.K.
  29. Park, K.S. and Lee, S.J. (2014) Linear analysis of continuum shells using isogeometric degenerated shell element Journal of Architectural Institute of Korea, 30(10): 4-10.
  30. Pawsey, S.F. and Clough, R.W. (1971) Improved numerical integration of thick shell finite elements, Int. J. Numer. Meth. Engng, 3: 575-586. https://doi.org/10.1002/nme.1620030411
  31. Reissner, E. (1945) The effect of transverse shear deformation on the bending of elastic plate, ASME, J. Appl. Mech., 12: 69-76.
  32. Vecchio, F.J. and Collins, M.P. (1986) The modified compression field theory for reinforced concrete elements subjected to shear, ACI, J., 83(2): 219-231.
  33. Vecchio, F.J. and Collins, M.P. (1982) The response of reinforced concrete to in-plane shear and normal stress, University of Toronto.
  34. Wilson, E.L., Taylor, R.L., Doherty, W.P. and Ghaboussi, J. (1973) Incompatible displacement models, Numerical and Computer Methods in Structural Mechanics Fenves SJ, Perrone N, Robinson AR, Schnobrich WC (eds). Academic Press: New York, 43-57.
  35. Zienkiewicz, O.C., Taylor, R.L. and Too, J.M. (1971) Reduced integration technique in general analysis of plates and shells, Int. J. Numer. Meth. Engng, 3: 275-290. https://doi.org/10.1002/nme.1620030211