Acta Mechanica Solida Sinica

, Volume 22, Issue 2, pp 109–115 | Cite as

Elastic modulus reduction method for limit load evaluation of frame structures

  • Lufeng Yang
  • Bo Yu
  • Yongping Qiao


A new strategy for elastic modulus adjustment is proposed based on the element bearing ratio (EBR), and the elastic modulus reduction method (EMRM) is proposed for limit load evaluation of frame structures. The EBR is defined employing the generalized yield criterion, and the reference EBR is determined by introducing the extrema and the degree of uniformity of EBR in the structure. The elastic modulus in the element with an EBR greater than the reference one is reduced based on the linear elastic finite element analysis and the equilibrium of strain energy. The lower-bound of limit-loads of frame structures are analyzed and the numerical example demonstrates the flexibility, accuracy and efficiency of the proposed method.

Key words

limit load element bearing ratio degree of uniformity elastic modulus reduction method 


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  1. [1]
    Xu, B.Y. and Liu, X.S., Structural Plastic Limit Analysis. Beijing: China Architecture & Building Press, 1985.Google Scholar
  2. [2]
    Tong, R. and Wang, X., Simplified method based on the deformation theory for structural limit analysis—I. Theory and formulation. International Journal of Pressure Vessels and Piping, 1997, 70(1): 43–49.CrossRefGoogle Scholar
  3. [3]
    Yang, Q., Cheng, Y.G., Zhao, Y.N. and Zhou, W.Y., Limit analysis method based on nonlinear programming and its application. Engineering Mechanics, 2004, 21(2): 15–19.Google Scholar
  4. [4]
    Chen, L.J., Liu, Y.H., Yang, P. and Cen, Z.Z., Limit analysis of structures containing flaws based on a modified elastic compensation method. European Journal of Mechanics — A/Solids, 2008, 27(2): 195–209.MathSciNetCrossRefGoogle Scholar
  5. [5]
    Hamilton, R. and Boyle, J.T., Simplified lower bound limit analysis of transversely loaded thin plates using generalized yield criteria. Thin-Walled Structures, 2002, 40(6): 503–522.CrossRefGoogle Scholar
  6. [6]
    Marin-Artieda, C.C. and Dargush, G.F., Approximate limit load evaluation of structural frames using linear elastic analysis. Engineering Structures, 2007, 29(3): 296–304.CrossRefGoogle Scholar
  7. [7]
    Yang, L.F., Qiao, Y.P. and Yu, B., Limit Analysis of Arch Bridge by Elastic Compensation based Finite Element Method. Journal of Changsha Communication University, 2008. 24(1): 5–9.Google Scholar
  8. [8]
    Marriott, D.L., Evaluation of deformation or load control of stress under inelastic conditions using elastic finite element stress analysis. ASME Pressure Vessel Technology Conference, Pittsburgh, Pennsylvania, 1988, 136: 3–9.Google Scholar
  9. [9]
    Seshadri, R. and Fernando, C.P.D., Limit loads of mechanical components and structures using the GLOSS R-node method. Journal of Pressure Vessel Technology, 1992, 114: 201–208.CrossRefGoogle Scholar
  10. [10]
    Seshadri, R., The generalized local stress strain (GLOSS) analysis—theory and applications. Journal of Pressure Vessel Technology, 1991, 113: 219–227.CrossRefGoogle Scholar
  11. [11]
    Mackenzie, D. and Boyle, J.T., A method of estimating limit loads using elastic analysis, I: simple examples. International Journal of Pressure Vessels and Piping, 1993, 53: 77–85.CrossRefGoogle Scholar
  12. [12]
    Mackenzie, D., Boyle, J.T. and Nadarajah, C., Simple bounds on limit loads by elastic finite element analysis. Journal of Pressure Vessel Technology, 1993, 115: 27–31.CrossRefGoogle Scholar
  13. [13]
    Adibi-Asl, R. and Seshadri, R., Local Limit-Load Analysis Using mβ Method. Journal of Pressure Vessel Technology, 2007, 129: 296–305.CrossRefGoogle Scholar
  14. [14]
    Molski, K. and Glinka, G., A method of elastic-plastic stress and strain calculation at a notch root. Material Science Engineering, 1981, 50(2): 93–100.CrossRefGoogle Scholar
  15. [15]
    Gendy, A.S. and Saleeb, A.F., Generalized yield surface representations in the elastic-plastic three-dimensional analysis of frames. Computers & Structures, 1993, 49(2): 351–362.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  1. 1.Key Laboratory of Disaster Prevention and Structural Safety, Ministry of Education; School of Civil Engineering and ArchitectureGuangxi UniversityNanningChina

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