Computers and Concrete

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Modelling inelastic hinges using CDM for nonlinear analysis of reinforced concrete frame structures

  • Rajasankar, J. (Structural Engineering Research Centre, CSIR) ;
  • Iyer, Nagesh R. (Structural Engineering Research Centre, CSIR) ;
  • Prasad, A. Meher (Indian Institute of Technology Madras)
  • Received : 2009.05.22
  • Accepted : 2009.06.29
  • Published : 2009.08.25
⟨ Previous Next ⟩

Abstract

A new formulation based on lumped plasticity and inelastic hinges is presented in this paper for nonlinear analysis of Reinforced Concrete (RC) frame structures. Inelastic hinge behaviour is described using the principles of Continuum Damage Mechanics (CDM). Member formulation contains provisions to model stiffness degradation due to cracking of concrete and yielding of reinforcing steel. Depending on its nature, cracking is classified as concentrated or distributed. Concentrated cracking is accounted through a damage variable and its growth is defined based on strain energy principles. Presence of distributed flexural cracks in a member is taken care of by modelling it as non-prismatic. Plasticity theory supported by effective stress concept of CDM is applied to describe the post-yield response. Nonlinear quasi-static analysis is carried out on a RC column and a wide two-storey RC frame to verify the formulation. The column is subjected to constant axial load and monotonic lateral load while the frame is subjected to only lateral load. Computed results are compared with those due to experiments or other numerical methods to validate the performance of the formulation and also to highlight the contribution of distributed cracking on global response.

Keywords

References

  1. Bazant, Z.P. (2002), "Concrete fracture models: testing and practice", Eng. Fract. Mech., 69, 165-205. https://doi.org/10.1016/S0013-7944(01)00084-4
  2. Bolzon, G. and Corigliano, A. (1997), "A discrete formulation for elastic solids with damaging interfaces", Comput. Method. Appl. M., 140, 329-359. https://doi.org/10.1016/S0045-7825(96)01101-2
  3. Cipollina, A., Lopez-Inojosa, A. and Florez-Lopez, J. (1995), "A simplified damage mechanics approach to nonlinear analysis of frames", Comput. Struct., 54, 1113-1126. https://doi.org/10.1016/0045-7949(94)00394-I
  4. Ehrlich, D. and Armero, F. (2005), "Finite element methods for the analysis of softening plastic hinges in beams and frames", Comput. Mech., 35, 237-264. https://doi.org/10.1007/s00466-004-0575-z
  5. Faleiro, J., Oller, S. and Barbat, A.H. (2008), "Plastic-damage seismic model for reinforced concrete frames", Comput. Struct., 86, 581-597. https://doi.org/10.1016/j.compstruc.2007.08.007
  6. Florez-Lopez, J. (1998), "Frame analysis and continuum damage mechanics", Eur. J. Mech. A-Solid., 17(2), 269-283.
  7. He, Z., Ou, J. and Wang, B. (2007), "The trilinear moment vs curvature relationship of concrete beams reinforced with fiber reinforced polymer (FRP) rebars", Compos. Struct., 77, 20-35.
  8. IDARC-2D Version 6.0 (2004), User's Guide, State University of New York at Buffalo, Buffalo.
  9. Johnston, R.L. (1982), Numerical methods: A software approach, John Wiley & Sons Inc., New York
  10. Krajcinovic, D. (1996), Damage Mechanics, Elsevier Science, The Netherlands.
  11. Krajcinovic, D. (2000), "Damage mechanics: Accomplishments, trends and needs", Int. J. Solids Struct., 37, 267-277. https://doi.org/10.1016/S0020-7683(99)00081-5
  12. Kunnath, S.K., Reinhorn, A.M. and Abel, J.F. (1991), "A computational tool for evaluation of seismic performance of reinforced concrete buildings", Comput. Struct., 41, 157-173. https://doi.org/10.1016/0045-7949(91)90165-I
  13. Kunnath, S.K., Reinhorn, A.M. and Park, Y.J. (1990), "Analytical modeling of inelastic seismic response of R/C structures", J. Struct. Eng-ASCE, 116(4), 996-1017. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:4(996)
  14. Lemaitre, J. and Desmorat, R. (2005), Engineering Damage Mechanics, Springer Verlag, Berlin.
  15. Lobo, R.F. (1994), Inelastic dynamic analysis of reinforced concrete structures in three dimensions, Ph.D. Dissertation, Department of Civil Engineering, State University of New York at Buffalo.
  16. Meyer, C., Filippou, F.C. and Gergely, P. (1998), "Flexural members and beam-column joints", CISM Lecture Notes on Modelling and Analysis of Reinforced Concrete Structures for Dynamic Loading, (Ed. Meyer, C.), Springer Verlag, Wien, 65-110.
  17. Mwafy, A.M. and Elnashai, A.S. (2001), "Static pushover versus dynamic collapse analysis of RC buildings", Eng. Struct., 23, 407-424. https://doi.org/10.1016/S0141-0296(00)00068-7
  18. Park, Y.J. and Ang, A.H.S. (1985), "Mechanistic seismic damage model for reinforced concrete", J. Struct. Eng-ASCE, 111, 722-739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)
  19. Perdomo, M.E., Ramirez, A. and Florez-Lopez, J. (1999), "Simulation of damage in RC frames with variable axial forces", Earthq. Eng. Struct. D., 28, 311-328. https://doi.org/10.1002/(SICI)1096-9845(199903)28:3<311::AID-EQE819>3.0.CO;2-D
  20. Riva, P. and Cohn, M.Z. (1990), "Engineering approach to nonlinear analysis of concrete structures", J. Struct. Eng-ASCE, 116, 2162-2186. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:8(2162)
  21. Tangaramvong, S. and Tin-Loi, F. (2008), "Simultaneous ultimate load and deformation analysis of strain softening frames under combined stresses", Eng. Struct., 30, 664-674. https://doi.org/10.1016/j.engstruct.2007.05.014
  22. Tangaramvong, S. and Tin-Loi, F. (2009), "Limit analysis of elastoplastic frames considering 2nd-order geometric nonlinearity and displacement constraints", Int. J. Mech. Sci., 51, 179-191. https://doi.org/10.1016/j.ijmecsci.2009.01.004
  23. Verderame, G.M., Fabbrocino, G. and Manfredi, G. (2008), "Seismic response of RC columns with smooth reinforcement Part I: Monotonic tests", Eng. Struct., 30, 2277-2288. https://doi.org/10.1016/j.engstruct.2008.01.025

Cited by

  1. Multispring Hinge Element for Reinforced Concrete Frame Analysis vol.139, pp.4, 2013, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000690
  2. Nonlinear Analysis of RC Structures Using Isotropic Damage Model vol.21, pp.5, 2012, https://doi.org/10.1177/1056789511410457
  3. Simplified modeling of cracking in concrete: Application in tunnel linings vol.70, 2014, https://doi.org/10.1016/j.engstruct.2014.03.031
  4. Experimental analysis and mathematical modeling of fracture in RC elements with any aspect ratio vol.46, 2013, https://doi.org/10.1016/j.engstruct.2012.07.005
  5. Stress resultant model for ultimate load design of reinforced-concrete frames: combined axial force and bending moment vol.7, pp.4, 2010, https://doi.org/10.12989/cac.2010.7.4.303
  6. A model of fracture in reinforced concrete arches based on lumped damage mechanics vol.50, pp.24, 2013, https://doi.org/10.1016/j.ijsolstr.2013.08.012
  7. Enriched Timoshenko beam finite element for modeling bending and shear failure of reinforced concrete frames vol.143, 2014, https://doi.org/10.1016/j.compstruc.2014.06.004
  8. Stress-resultant models for ultimate load design of reinforced concrete frames and multi-scale parameter estimates vol.51, pp.3, 2013, https://doi.org/10.1007/s00466-012-0734-6
  9. An efficient mechanical-probabilistic approach for the collapse modelling of RC structures vol.12, pp.2, 2009, https://doi.org/10.1590/s1983-41952019000200010