Acta Mechanica Solida Sinica

, Volume 21, Issue 2, pp 141–148 | Cite as

Simple Shakedown of Structures under Variable Multi-Loadings

  • Yuan Yuan
  • Yingqiang Xu
  • Guozhi Lu


The shakedown analysis of structures under variable multi-loadings is considered, and the corresponding simple shakedown condition is presented in this paper. Distribution of fixed stresses field is given, and the self-equilibrium of fixed stresses field is analyzed. Elastic shakedown and plastic shakedown conditions are presented based on the fixed stresses field. The theorem is convenient to evaluate the shakedown limit of structures under cyclical variable multi-loadings through solving positive scalar fields and fixed stresses field factors at a series of dangerous positions of the structure, and tedious computations are avoided. Finally the theorem is applied to a thick-walled cylindrical tube under variable pressure and temperature, and the rolling contact problem. The results are in good agreement with some computational results.

Key words

shakedown limit residual stress field variable multi-loadings 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  • Yuan Yuan
    • 1
  • Yingqiang Xu
    • 1
  • Guozhi Lu
    • 1
  1. 1.School of AeronauticsNorthwestern Polytechnical UniversityXi’anChina

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