| PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF COSSERAT CONTINUUM |
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| 作者姓名： | Zhang Hongwu Wang Hui Chen Biaosong Xie Zhaoqian |
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| 作者单位： | State Key Laboratory of Structural Analysis for Industrial Equipment，Department of Engineering Mechanics，Dalian University of Technology，Dalian，116024，China |
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| 基金项目： | 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)，the National Key Basic Research Special Foundation of China (No. 2005CB321704) |
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| 摘 要： | 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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| 关 键 词： | 参数变分原理 弹塑性分析 Cosserat连续体模型 二次规划法 |
| 收稿时间： | 2006-07-26 |
| 修稿时间： | 2006-12-25 |
PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF COSSERAT CONTINUUM |
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| Zhang Hongwu Wang Hui Chen Biaosong Xie Zhaoqian.PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF COSSERAT CONTINUUM[J].Acta Mechanica Solida Sinica,2007,20(1):65-74. |
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| Authors: | Zhang Hongwu Wang Hui Chen Biaosong Xie Zhaoqian |
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| Institution: | 1. School of Civil and Environmental Engineering, Georgia Institute of Technology, 790 Atlantic Drive, Atlanta, GA, 30332, USA;2. Dipartimento di Matematica e Applicazioni, Università di Milano–Bicocca, Via Cozzi 53, I-20153, Milano, Italy;1. Department of Hydraulic Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China;2. Department of Civil and Structural Engineering, Kyushu University, Fukuoka 819-0395, Japan;3. Sichuan University – The Hong Kong Polytechnic University Institute for Disaster Management and Reconstruction, Sichuan University, Chengdu 610207, China;4. Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;5. Department of Geotechnical Engineering, School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;6. First Crust Deformation Monitoring and Application Center, CEA, Tianjin 300180, China;7. School of Civil Engineering, Central South University, Changsha 410075, China;1. Department of Civil and Environmental Engineering, Clarkson University, P.O. Box 5710, Potsdam, NY 13699-5710, USA;2. Department of Civil and Environmental Engineering and Construction and Director, Applied Geophysics Center, University of Nevada, Las Vegas, 4505 Maryland Parkway, Las Vegas, NV 89154-4015, USA;1. Industrial Chemistry Research Institute, 8 Rydygiera Street, 01-793 Warsaw, Poland;2. National Medicines Institute, 30/34 Chełmska Street, 00-725 Warsaw, Poland |
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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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| Keywords: | Cosserat model parametric variational principle quadratic programming method strain localization |
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