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基于参数变分原理的非均质材料弹塑性有限元分析的Voronoi单元法

张洪武 王辉

张洪武, 王辉. 基于参数变分原理的非均质材料弹塑性有限元分析的Voronoi单元法[J]. 应用数学和力学, 2006, 27(8): 904-912.
引用本文: 张洪武, 王辉. 基于参数变分原理的非均质材料弹塑性有限元分析的Voronoi单元法[J]. 应用数学和力学, 2006, 27(8): 904-912.
ZHANG Hong-wu, WANG Hui. Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials With Voronoi Finite Element Method[J]. Applied Mathematics and Mechanics, 2006, 27(8): 904-912.
Citation: ZHANG Hong-wu, WANG Hui. Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials With Voronoi Finite Element Method[J]. Applied Mathematics and Mechanics, 2006, 27(8): 904-912.

基于参数变分原理的非均质材料弹塑性有限元分析的Voronoi单元法

基金项目: 国家自然科学基金;创新群体基金资助项目(10225212;10421002;10332010);长江学者和创新团队发展计划资助项目;国家基础性发展规划项目(2005CB321704)
详细信息
    作者简介:

    张洪武(1964- ),男,大连人,教授,博士,博导(联系人.Tel:+86-411-84706249;E-mail:zhanghw@dlut.edu.cn.

  • 中图分类号: O344.3;O242.21

Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials With Voronoi Finite Element Method

  • 摘要: 在非均质材料的有限元数值模拟中,采用了Voronoi单元(VCFEM)以克服经典位移元的局限性.基于参数变分原理和二次规划法进行了Voronoi单元的二维弹塑性分析A·D2推导了有限元列式并形成最终的二次规划求解模型.研究了非均质材料微观夹杂对整体力学性能的影响.数值算例证明了该方法的正确和可行性.
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出版历程
  • 收稿日期:  2005-08-16
  • 修回日期:  2006-03-06
  • 刊出日期:  2006-08-15

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