Materials and Structures

, 50:88 | Cite as

Hysteretic model of SRUHSC column and SRC beam joints considering damage effects

  • Changwang Yan
  • Deqiang Yang
  • Zhongguo John Ma
  • Jinqing Jia
Original Article


This paper focuses on developing a hysteretic model of steel reinforced ultra high strength concrete column and steel reinforced concrete beam joint. Characteristics of the hysteretic curve from twelve specimens under cyclic loading were analyzed in terms of damage pattern, residual deformation, loop unloading stiffness deterioration, relative unloading stiffness deterioration and strength degradation. Methods to quantify seismic damage and attenuation coefficient were presented. The proposed methods consider number of loading cycles and controlled displacements which cause seismic damage. The experimental skeleton curve is simplified as a trilinear model, where calculated attenuation coefficient is used to obtain deteriorated stiffness of every segment, deteriorated unloading stiffness, and degraded strength in the hysteretic model. The proposed hysteretic model considering damage effects can describe well the characteristics of experimental hysteretic curves.


SRUHSC Joint Trilinear model Hysteretic model Stiffness deterioration Strength degradation 



The research reported in this paper is part of Projects 51168034 supported by National Natural Science Foundation of China, and the Program for Young Talents of Science and Technology in the University of Inner Mongolia Autonomous Region (No. NJYT-14-B08). Their financial support is highly appreciated.


This study was funded by National Natural Science Foundation of China (Grant Number: 51168034) and Program for Young Talents of Science and Technology in the University of Inner Mongolia Autonomous Region (Grant Number: NJYT-14-B08).

Compliance with ethical standards

Conflict of Interest

The authors declare that they have no conflict of interest.


  1. 1.
    Chou CC, Hsu CP (2008) Hysteretic model development and seismic response of unbonded post-tensioned precast CFT segmental bridge columns. Earthq Eng Struct Dyn 37(6):919–934CrossRefGoogle Scholar
  2. 2.
    Li W, Han LH (2012) Seismic performance of CFST column to steel beam joint with RC slab: joint model. J Constr Steel Res 73:66–79CrossRefGoogle Scholar
  3. 3.
    Xu SY, Zhang J (2012) Axial–shear–flexure interaction hysteretic model for RC columns under combined actions. Eng Struct 34:548–563CrossRefGoogle Scholar
  4. 4.
    Nogueiro P, Silva LS, Bento R, Simões R (2009) Calibration of model parameters for the cyclic response of end-plate beam-to-column steel-concrete composite joints. Steel Compos Struct 9(1):39–58CrossRefGoogle Scholar
  5. 5.
    Ibarra LF, Medina RA, Krawinkler H (2005) Hysteretic models that incorporate strength and stiffness deterioration. Earthq Eng Struct Dyn 34(12):1489–1511CrossRefGoogle Scholar
  6. 6.
    Chao SH, Loh CH (2009) A biaxial hysteretic model for a structural system incorporating strength deterioration and pinching phenomena. Int J Non-linear Mech 44(7):745–756CrossRefGoogle Scholar
  7. 7.
    Sezen H, Chowdhury T (2009) Hysteretic model for reinforced concrete columns including the effect of shear and axial load failure. J Struct Eng 135(2):139–146CrossRefGoogle Scholar
  8. 8.
    Wang ML, Shah SP (1987) Reinforced concreted hysteresis model based on the damage concept. Earthq Eng Struct Dyn 15:993–1003CrossRefGoogle Scholar
  9. 9.
    Eom TS, Hwang HJ, Park HG (2015) Energy-based hysteresis model for reinforced concrete beam–column connections. ACI Struct J 112(2):157–182Google Scholar
  10. 10.
    Xu SY, Zhang J (2011) Hysteretic shear–flexure interaction model of reinforced concrete columns for seismic response assessment of bridges. Earthq Eng Struct Dyn 40(3):315–337CrossRefGoogle Scholar
  11. 11.
    Sivaselvan MV (2013) Hysteretic models with stiffness and strength degradation in a mathematical programming format. Int J Non-linear Mech 51:10–27CrossRefGoogle Scholar
  12. 12.
    Skalomenos KA, Hatzigeorgiou G, Beskos DE (2014) Parameter identification of three hysteretic models for the simulation of the response of CFT columns to cyclic loading. Eng Struct 61:44–60CrossRefGoogle Scholar
  13. 13.
    Yan C, Jia J (2010) Seismic performance of steel reinforced ultra high-strength concrete composite frame joints. Earthq Eng Eng Vib 9(3):439–448MathSciNetCrossRefGoogle Scholar
  14. 14.
    Zhu W, Meng G, Jia J (2014) Experimental studies on axial load performance of high-strength concrete short columns. Proc Inst Civ Eng Struct Build 167(9):509–519CrossRefGoogle Scholar
  15. 15.
    Chen CC, Li JM, Weng CC (2005) Experimental behaviour and strength of concrete-encased composite beam-columns with T-shaped steel section under cyclic loading. J Constr Steel Res 61(7):863–881CrossRefGoogle Scholar
  16. 16.
    Chou CC, Uang CM (2007) Effects of continuity plate and transverse reinforcement on cyclic behavior of SRC moment connections. J Struct Eng 133(1):96–104CrossRefGoogle Scholar
  17. 17.
    Lu XL, Yin XW, Jiang HJ (2013) Restoring force model for steel reinforced concrete columns with high steel ratio. Struct Concr 14(4):415–422CrossRefGoogle Scholar
  18. 18.
    Ji XD, Sun Y, Qian JR, Lu XZ (2015) Seismic behavior and modeling of steel reinforced concrete (SRC) walls. Earthq Eng Struct Dyn 44:955–972CrossRefGoogle Scholar
  19. 19.
    Li L, Zheng SS, Wang B, Deng GZ, Wang W (2010) Cyclic deterioration effect of the steel reinforced high strength concrete frame. Eng Mech 27(8):125–132CrossRefGoogle Scholar
  20. 20.
    Yan C, Li J, Jia J, Liu S (2016) Experimental research and theoretical calculation on shear strength of steel reinforced ultra high strength concrete frame joint. J Build Struct 37(4):32–39Google Scholar
  21. 21.
    ASCE/SEI 41-13 (2014) Seismic evaluation and retrofit of existing buildings. American Society of Civil Engineers, RestonGoogle Scholar
  22. 22.
    LaFave JM, Kim J (2011) Joint shear behavior prediction for RC beam–column connections. Int J Concr Struct Mater 5(1):57–64CrossRefGoogle Scholar

Copyright information

© RILEM 2016

Authors and Affiliations

  • Changwang Yan
    • 1
    • 2
  • Deqiang Yang
    • 1
  • Zhongguo John Ma
    • 2
    • 3
  • Jinqing Jia
    • 4
  1. 1.School of Mining and TechnologyInner Mongolia University of TechnologyHohhotChina
  2. 2.Department of Civil & Environmental EngineeringUniversity of TennesseeKnoxvilleUSA
  3. 3.School of Civil EngineeringShandong Jianzhu UniversityJinanChina
  4. 4.School of Civil EngineeringDalian University of TechnologyDalianChina

Personalised recommendations