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基于参数变分原理的Cosserat连续体弹塑性分析
引用本文:张洪武,王辉,陈飚松,解兆谦.基于参数变分原理的Cosserat连续体弹塑性分析[J].固体力学学报,2007,28(2):157-163.
作者姓名:张洪武  王辉  陈飚松  解兆谦
作者单位:大连理工大学工业装备结构分析国家重点实验室,大连,116024
基金项目:国家自然科学基金与创新群体基金(50679013,10421202,10225212),长江学者和创新团队发展计划,国家基础性发展规划项目(2005CB321704)资助
摘    要:基于参数变分原理,提出了Cosserat模型弹塑性计算的算法,给出了基于Cosserat理论的参数最小势能原理,基于所提出的变分方程,建立了Cosserat理论弹塑性分析的参数二次规划模型,进一步将算法应用于平面应变软化问题计算中,获得的结果具有良好的非网格依赖性.

关 键 词:Cosserat模型  参数变分原理  二次规划算法  应变软化
修稿时间:2006-07-26

PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF COSSERAT CONTINUUM
Zhang Hongwu,Wang Hui,Chen Biaosong,Xie Zhaoqian.PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF COSSERAT CONTINUUM[J].Acta Mechnica Solida Sinica,2007,28(2):157-163.
Authors:Zhang Hongwu  Wang Hui  Chen Biaosong  Xie Zhaoqian
Institution:State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024
Abstract:A new algorithm is developed based on the parametric variational principle for elastic-plastic analysis of Cosserat continuum.The governing equations of 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 Cosserat theory is developed,from which the finite element formulation of Cosserat theory and the corresponding parametric quadratic programming model are constructed.Strain localization problems are computed and the mesh independent results are obtained.
Keywords:Cosserat model  parametric variational principle  quadratic programming method  strain localization
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