Advertisement

Simulation of Nonlinear Behavior of Beam Structures Based on Discrete Element Method

  • Ruo-qiang FengEmail author
  • Baochen Zhu
  • Chunchang Hu
  • Xi Wang
Article
  • 59 Downloads

Abstract

In this paper, the discrete element method (DEM) is improved to simulate the strong nonlinear mechanics behavior of beam structures. First, the spring stiffness of parallel bond model applied to beam structure is deduced using the principle of energy conservation, and the relationship between spring stiffness and elastic constants is established. Second, the layered beam theory is introduced into the traditional DEM. The yield criteria and the spring stiffness of contact in yield state are deduced, so that the improved DEM can be used to solve the plastic problem of beam structures. Third, the fracture criterion based on the limit strain of material is defined, so that the fracture problem of steel beams can be solved by DEM. Fourth, the force–displacement equations of Hertz model is deduced. Finally, the numerical examples show that the improved DEM can effectively solve the problems of large deformation, plasticity, fracture, contact and collision of beam structures.

Keywords

Discrete element method Beam structure Numerical simulation 

Notes

Acknowledgements

This research was financial supported by the Fundamental Research Funds for the Central Universities, by the Colleges and Universities in Jiangsu Province Plans to Graduate Research and Innovation (KYLX15_0089), by a project funded by the Priority Academic Program Development of the Jiangsu Higher Education Institutions and by the Natural Science Foundation of China under Grant Numbers 51538002.

References

  1. Cundall, P. A., & Strack, O. D. L. (1979). A discrete numerical mode for granular assemblies. Géotechnique, 29(1), 47–65.CrossRefGoogle Scholar
  2. Feng, R. Q., Zhu, B., & Wang, X. (2015). A mode contribution ratio method for seismic analysis of large-span spatial structures. International Journal of Steel Structures, 15(4), 835–852.CrossRefGoogle Scholar
  3. Griffiths, D. V., & Mustoe, G. G. W. (2001). Modelling of elastic continua using a grillage of structural elements based on discrete element concepts. International Journal for Numerical Methods in Engineering, 50(7), 1759–1775.CrossRefzbMATHGoogle Scholar
  4. Gupta, V., Sun, X., Xu, W., Sarv, H., & Farzan, H. (2017). A discrete element method-based approach to predict the breakage of coal. Advanced Powder Technology, 28(10), 2665–2677.CrossRefGoogle Scholar
  5. Hu, C. C. (2017). Numerical simulation of impact failure of bar structures based on discrete element method. Master thesis, Southeast University, China.Google Scholar
  6. Koteski, L., Iturrioz, I., Cisilino, A. P., D’Ambra, R. B., Pettarin, V., Fasce, L., et al. (2016). A lattice discrete element method to model the falling-weight impact test of PMMA specimens. International Journal of Impact Engineering, 87, 120–131.CrossRefGoogle Scholar
  7. Kuhl, E., Hulshoff, S., & De Borst, R. (2003). An arbitrary Lagrangian Eulerian finite-element approach for fluid–structure interaction phenomena. International Journal for Numerical Methods in Engineering, 57(1), 117–142.CrossRefzbMATHGoogle Scholar
  8. Kumar, R., Rommel, S., Jauffrès, D., Lhuissier, P., & Martin, C. L. (2016). Effect of packing characteristics on the discrete element simulation of elasticity and buckling. International Journal of Mechanical Sciences, 110, 14–21.CrossRefGoogle Scholar
  9. Liu, K., Gao, L., & Tanimura, S. (2005). Application of discrete element method in impact problems. JSME International Journal, 47(47), 138–145.Google Scholar
  10. Lynn, K. M., & Isobe, D. (2007). Structural collapse analysis of framed structures under impact loads using ASI-Gauss finite element method. International Journal of Impact Engineering, 34(9), 1500–1516.CrossRefGoogle Scholar
  11. Mcdowell, G. R. (2002). Discrete element modelling of soil particle fracture. Géotechnique, 52(52), 131–135.CrossRefGoogle Scholar
  12. Meguro, K., & Hakuno, M. (1989). Fracture analyses of concrete structures by the modified distinct element method. Structural Engineering/Earthquake Engineering, 6(2), 283–294.Google Scholar
  13. Meguro, K., & Tagel-Din, H. (2001). Applied element simulation of RC structures under cyclic loading. Journal of Structural Engineering, 127(11), 1295–1305.CrossRefGoogle Scholar
  14. Tavarez, F. A., & Plesha, M. E. (2007). Discrete element method for modelling solid and particulate materials. International Journal for Numerical Methods in Engineering, 70(4), 379–404.CrossRefzbMATHGoogle Scholar
  15. Utagawa, N., Kondo, I., Yoshida, N., Itho, M., & Yoshida, N. (1992). Simulation of demolition of reinforeced concrete buildings by controlled explosion. Computer-Aided Civil and Infrastructure Engineering, 7(2), 151–159.CrossRefGoogle Scholar
  16. Ye, J., & Qi, N. (2017). Progressive collapse simulation based on DEM for single-layer reticulated domes. Journal of Constructional Steel Research, 128, 721–731.CrossRefGoogle Scholar
  17. Zhao, G., Fang, J., & Zhao, J. (2011). A 3d distinct lattice spring model for elasticity and dynamic failure. International Journal for Numerical and Analytical Methods in Geomechanics, 35(8), 859–885.CrossRefzbMATHGoogle Scholar
  18. Zhu, B., Feng, R., & Wang, X. (2018). 3D discrete solid-element method for elastoplastic problems of continuity. Journal of Engineering Mechanics, 144(7), 04018051.CrossRefGoogle Scholar

Copyright information

© Korean Society of Steel Construction 2019

Authors and Affiliations

  • Ruo-qiang Feng
    • 1
    Email author
  • Baochen Zhu
    • 1
  • Chunchang Hu
    • 1
  • Xi Wang
    • 1
  1. 1.Key Laboratory of Concrete and Pre-stressed Concrete Structure of Ministry of EducationSoutheast UniversityNanjingChina

Personalised recommendations