Advertisement

International Journal of Steel Structures

, Volume 19, Issue 2, pp 469–477 | Cite as

A Damage Constitutive Model of Q345B Steel in Circular Tubes Based on Cyclic Experiments and Its Application on Structure

  • Guibo NieEmail author
  • Chenxiao Zhang
  • Xudong Zhi
  • Kun Liu
  • Huihuan Ma
Article
  • 51 Downloads

Abstract

Q235B and Q345B are two structural steel grades widely used in China. In previous studies, more precisely in 2012, Nie defined a normalized constitutive model using material damage accumulation to describe damage behavior of Q235B steel in circular tubes. This paper focuses on the hysteretic damage behavior of Q345B steel in a circular steel tube under cyclic loads and describes the damage mechanism through a damage constitutive model based on experimental results. Three equations are implemented in the constitutive model, which includes a damage index to accurately describe the plastic and damage behavior of the material. Experiments were conducted in which a cyclic loading is applied in three directions on a circular steel tube. The constitutive model was implemented in the ABAQUS FEA software through a user-defined subroutine. Some parameters in the constitutive model were calibrated based on the experimental and numerical results. The performance behavior of a single-layer reticulated dome under seismic motion record was investigated through the increment dynamic analysis method. The results indicate that the constitutive model is suitable for analyses and quantifying seismic damage accumulation and progressive failure and it is also beneficial for investigating the nonlinear dynamic behavior of structures under seismic loads. The effect of accumulated material damage can describe large-scale structural deformation and obvious reduction in the failure limit load.

Keywords

Q345B steel Circular steel tube Constitutive model Material damage accumulation Single-layer reticulated dome Seismic motion record 

Notes

Acknowledgements

This study is jointly sponsored by China Earthquake Administration Fundamental Research Program (2018B12), National Natural Science Foundation of Heilongjiang Province, China (E2016071) and Program for Innovative Research Team in China Earthquake Administration.

References

  1. ABAQUS theory manual Version 6.14. (2014a). Pawtucket, R.I.: Hibbitt, Karlsson & Sorensen, Inc.Google Scholar
  2. ABAQUS user’s manual Version 6.14. (2014b). Pawtucket, R.I: Hibbitt, Karlsson & Sorensen, Inc.Google Scholar
  3. Ayhen, B., Jehel, P., Brancherie, D., & Lbrahimbegovic, A. (2013). Coupled damage-plasticity model for cyclic loading: Theroretical formulation and numerical implementation. Engineering Structures, 50, 30–42.CrossRefGoogle Scholar
  4. Calvin, M. S., Ali, P. G., Young, W. M., & Richard, W. N. (2011). An anisotropic tertiary creep damage constitutive model for anisotropic materials. International Journal of Pressure Vessels and Piping, 88, 356–364.CrossRefGoogle Scholar
  5. Correia, J. A. F. O., de Jesus, A. M. P., Fernández-Canteli, A., & Calçada, R. A. B. (2015). Modelling probabilistic fatigue crack propagation rates for a mild structural steel. Frattura ed Integrita Strutturale, 31, 80–96.Google Scholar
  6. De Jesus, A. M. P., & Correia, J. A. F. O. (2013). Critical assessment of a local strain-based fatigue crack growth model using experimental data available for the P355NL1 steel. Journal of Pressure Vessel Technology, Transactions of the ASME, 135(1), 11404.CrossRefGoogle Scholar
  7. De Jesus, A. M. P., da Silva, A. L. L., Figueiredo, M. V., Correia, J. A. F. O., Ribeiro, A. S., & Fernandes, A. A. (2011). Strain-life and crack propagation fatigue data from several portuguese old metallic riveted bridges. Engineering Failure Analysis, 18(1), 148–163.CrossRefGoogle Scholar
  8. Fan, F., Nie, G. B., & Zhi, X. D. (2011). Constitutive model of circular steel tubes under complicated cyclic load. Journal of Building Structures, 32(8), 59–68.Google Scholar
  9. Hearn, G., & Testa, R. B. (1991). Modal analysis for damage detection in structures. Journal of Structural Engineering, 117(10), 3042–3063.CrossRefGoogle Scholar
  10. Kang, G. Z., Liu, Y. J., Ding, J., & Gao, Q. (2009). Uniaxial ratcheting and fatigue failure of tempered 42CrMo steel: Damage evolution and damage-coupled visco-plastic constitutive model. International Journal of Plasticity, 25, 838–860.CrossRefzbMATHGoogle Scholar
  11. Khoo, H. A., Hrudey, T. M., & Cheng, J. J. R. (2006). Microvoid damage model with material dilation for ductile fracture. Journal of Engineering Mechanics, 132(10), 1067–1076.CrossRefGoogle Scholar
  12. Kunc, R., & Prebil, I. (2003). Low-cycle fatigue properties of steel 42CrMo4. Materials Science and Engineering A, 345, 278–285.CrossRefGoogle Scholar
  13. Li, Z. X., Jiang, F. F., & Tang, Y. Q. (2012). Multi-scale analyses on seismic damage and progressive failure of steel structures. Finite Elements in Analysis and Design, 48, 1358–1369.CrossRefGoogle Scholar
  14. Mashayekhi, M., Ziaei-Rad, S., Parvizian, J., Niklewicz, J., & Hadavinia, H. (2007). Ductile crack growth based on damage criterion: Experimental and numerical studies. Mechanics of Materials, 39, 623–636.CrossRefGoogle Scholar
  15. Naumenko, K., & Kostenko, Y. (2009). Structural analysis of a power plant component using a stress-range-dependent creep-damage constitutive model. Materials Science and Engineering A, 510–511, 169–174.CrossRefGoogle Scholar
  16. Necati, C. F., & Emin, A. A. (2002). Condition and damage assessment: Issues and some promising indices. Journal of Structural Engineering, 128(8), 1026–1035.CrossRefGoogle Scholar
  17. Nie, G. B., Dai, J. W., Zhang, C. X., & Zhi, X. D. (2015). Failure patterns of large span space structures in Lushan earthquake and numerical simulation. China Civil Engineering Journal, 48(4), 1–6.Google Scholar
  18. Nie, G. B., Fan, F., & Zhi, X. D. (2012). A constitutive model for circular steel pipe by spatial hysteretic test. Advances in Structural Engineering, 15(8), 1278–1290.CrossRefGoogle Scholar
  19. Nie, G. B., Zhi, X. D., Fan, F., & Dai, J. W. (2014). Seismic performance evaluation of single-layer reticulated dome and its fragility analysis. Journal of Constructional Steel Research, 100, 176–182.CrossRefGoogle Scholar
  20. Noban, M., Jahed, H., & Varvani-Farahani, A. (2012). The choice of cyclic plasticity models in fatigue life assessment of 304 and 1045 steel alloys based on the critical plane-energy fatigue damage approach. International Journal of Fatigue, 43, 217–225.CrossRefGoogle Scholar
  21. Park, Y. J., & Ang, A. H. S. (1985). A Mechanistic seismic damage model for reinforced concrete. Journal of Structural Engineering, 111(4), 722–739.CrossRefGoogle Scholar
  22. Park, W. S., Lee, C. S., Chun, M. S., Kim, M. H., & Lee, J. M. (2011). Comparative study on mechanical behavior of low temperature application materials for ships and offshore structures: Part II-Constitutive model. Materials Science and Engineering A, 528, 7560–7569.CrossRefGoogle Scholar
  23. Pereira, J. C. R., de Jesus, A. M. P., Fernandes, A. A., & Varelis, G. (2015). Monotonic, low-cycle fatigue, and ultralow-cycle fatigue behaviors of the X52, X60, and X65 piping steel grades. Journal of Pressure Vessel Technology, 138(3), 31403–31410.CrossRefGoogle Scholar
  24. Pereira, J. C. R., Wittenberghe, J. V., de Jesus, A. M. P., Philippe, Thibaux, Correia, J. A. F. O., & Fernandes, A. A. (2018). Damage behaviour of full-scale straight pipes under extreme cyclic bending conditions. Journal of Constructional Steel Research, 143, 97–109.CrossRefGoogle Scholar
  25. Powell, G. H., & Allchabadi, R. (1988). Seismic damage prediction by deterministic methods: Concept and procedures. Earthquake Engineering and Structural Dynamics, 16(5), 719–734.CrossRefGoogle Scholar
  26. Sanchez-Santana, U., Rubio-Gonzalez, C., Mesmacque, G., Amrouche, A., & Decoopman, X. (2008). Dynamic tensile behavior of materials with previous fatigue damage. Materials Science and Engineering A, 497, 51–60.CrossRefGoogle Scholar
  27. Tanguy, B., Luu, T. T., Perrin, G., Pineau, A., & Besson, J. (2008). Plastic and damage behaviour of a high strength X100 pipeline steel: Experiments and modelling. International Journal of Pressure Vessels and Piping, 85, 322–335.CrossRefGoogle Scholar
  28. Yu, C., & Steve, L. (2003). Analysis of ductile tearing of pipeline-steel in single edge notch tension specimens. International Journal of Fracture, 124, 179–199.CrossRefGoogle Scholar
  29. Zhi, X. D., Nie, G. B., Fan, F., & Shen, S. Z. (2012). Vulnerability and risk assessment of single-layer reticulated domes subjected to earthquakes. Journal of Structural Engineering, 138, 1505–1514.CrossRefGoogle Scholar
  30. Zhou, F., Chen, Y. Y., & Wu, Q. (2015). Dependence of the cyclic response of structural steel on loading history under large inelastic strains. Journal of Constructional Steel Research, 104, 64–73.CrossRefGoogle Scholar

Copyright information

© Korean Society of Steel Construction 2018

Authors and Affiliations

  • Guibo Nie
    • 1
    Email author
  • Chenxiao Zhang
    • 2
  • Xudong Zhi
    • 3
  • Kun Liu
    • 3
  • Huihuan Ma
    • 3
  1. 1.Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering MechanicsChina Earthquake AdministrationHarbinChina
  2. 2.School of Civil Engineering and ArchitectureAnhui University of TechnologyMaanshanChina
  3. 3.School of Civil EngineeringHarbin Institute of TechnologyNangang District, HarbinChina

Personalised recommendations