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Acta Mechanica Solida Sinica

, Volume 20, Issue 1, pp 65–74 | Cite as

Parametric variational principle based elastic-plastic analysis of Cosserat continuum

  • Hongwu Zhang
  • Hui Wang
  • Biaosong Chen
  • Zhaoqian Xie
Article

Abstract

A new algorithm is developed based on the parametric variational principle for elastic-plastic analysis of Cosserat continuum. The governing equations of the classic elastic-plastic problem are regularized by adding rotational degrees of freedom to the conventional translational degrees of freedom in conventional continuum mechanics. The parametric potential energy principle of the Cosserat theory is developed, from which the finite element formulation of the Cosserat theory and the corresponding parametric quadratic programming model are constructed. Strain localization problems are computed and the mesh independent results are obtained.

Key words

Cosserat model parametric variational principle quadratic programming method strain localization 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  • Hongwu Zhang
    • 1
  • Hui Wang
    • 1
  • Biaosong Chen
    • 1
  • Zhaoqian Xie
    • 1
  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering MechanicsDalian University of TechnologyDalianChina

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