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Parametric variational principle based elastic-plastic analysis of Cosserat continuum

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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.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China

    Hongwu Zhang, Hui Wang, Biaosong Chen & Zhaoqian Xie

Authors
  1. Hongwu Zhang
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  2. Hui Wang
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  3. Biaosong Chen
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  4. Zhaoqian Xie
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Additional information

Project supported by the National Natural Sciences Foundation (Nos. 50679013, 10421202 and 10225212), the Program for Changjiang Scholars and Innovative Research Team in Universities of China (PCSIRT) and the National Key Basic Research Special Foundation of China (No. 2005CB321704).

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Zhang, H., Wang, H., Chen, B. et al. Parametric variational principle based elastic-plastic analysis of Cosserat continuum. Acta Mech. Solida Sin. 20, 65–74 (2007). https://doi.org/10.1007/s10338-007-0708-y

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  • DOI: https://doi.org/10.1007/s10338-007-0708-y

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