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杂交元零能模式抑制的正交基本变形模式方法

张灿辉 王东东 李同姗

张灿辉, 王东东, 李同姗. 杂交元零能模式抑制的正交基本变形模式方法[J]. 应用数学和力学, 2011, 32(1): 79-92. doi: 10.3879/j.issn.1000-0887.2011.01.009
引用本文: 张灿辉, 王东东, 李同姗. 杂交元零能模式抑制的正交基本变形模式方法[J]. 应用数学和力学, 2011, 32(1): 79-92. doi: 10.3879/j.issn.1000-0887.2011.01.009
ZHANG Can-hui, WANG Dong-dong, LI Tong-shan. Orthogonal Basic Deformation Mode Method for Zero-Energy Mode Suppression of Hybrid Stress Element[J]. Applied Mathematics and Mechanics, 2011, 32(1): 79-92. doi: 10.3879/j.issn.1000-0887.2011.01.009
Citation: ZHANG Can-hui, WANG Dong-dong, LI Tong-shan. Orthogonal Basic Deformation Mode Method for Zero-Energy Mode Suppression of Hybrid Stress Element[J]. Applied Mathematics and Mechanics, 2011, 32(1): 79-92. doi: 10.3879/j.issn.1000-0887.2011.01.009

杂交元零能模式抑制的正交基本变形模式方法

doi: 10.3879/j.issn.1000-0887.2011.01.009
基金项目: 国家自然科学基金资助项目(10972188);中央高校基本科研业务费专项资金资助项目(2010121073);福建省科技基金资助项目(2007F3096)
详细信息
    作者简介:

    张灿辉(1967- ),男,福建人,副教授,博士(联系人.Tel:+86-592-2187887,E-mail:chzhang@xmu.edu.cn).

  • 中图分类号: O242.21

Orthogonal Basic Deformation Mode Method for Zero-Energy Mode Suppression of Hybrid Stress Element

  • 摘要: 通过杂交元位移场直接推导了单元基本变形模式,并且采用联合正交条件提出一种新的正交化方法,所得到的正交基本变形模式不仅具有简单的变形特征而且和材料参数无关,可以方便有效地考察单元性能,为评价不同杂交元提供了一个统一的参考标准.在此基础上利用柔度矩阵正定性给出一种简单有效的零能模式识别方法,并进一步利用基本变形模式和初始应力模式之间耦合关系,提出一种抑制杂交元零能模式的假设应力场方法,同时指出基本变形模式正交性是抑制单元零能模式的充分必要条件.2D-4节点和3D-8节点单元的数值算例说明了该文基本变形模式方法的有效性.
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    [5] 张灿辉, 冯伟, 黄黔. 用单元柔性矩阵H对角化方法建立杂交应力有限单元[J]. 计算力学学报, 2002, 19(4): 409-413.(ZHANG Can-hui, FENG Wei, HUANG Qian. A method of flexibility matrix H diagonalization for constructing hybrid stress finite elements[J]. Chinese Journal of Computational Mechanics, 2002, 19(4): 409-413.(in Chinese))
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    [8] 张灿辉, 王东东, 张建霖. 三维杂交应力元性能分析的基本变形模式方法[J]. 工程力学, 2009, 26(8): 44-49.(ZHANG Can-hui, WANG Dong-dong, ZHANG Jian-lin. Performance analysis of 3D hybrid stress elements with a basic deformation-based approach[J]. Engineering Mechanics, 2009, 26(8): 44-49.(in Chinese))
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    [16] 张灿辉, 王东东. 一种抑制杂交元零能模式的假设应力场方法[J]. 固体力学学报, 2010, 31(1): 40-47.(ZHANG Can-hui, WANG Dong-dong. An assumed stress method for zero-energy mode suppression in hybrid finite elements[J]. Chinese Journal of Solid Mechanics, 2010, 31(1): 40-47.(in Chinese))
    [17] 张灿辉, 冯伟, 黄黔. 杂交元假设应力模式的变形刚度分析[J]. 应用数学和力学, 2006, 27(7): 757-764.(ZHANG Can-hui, FENG Wei, HUANG Qian. Deformation rigidity of assumed stress modes in hybrid elements[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(7): 861-869.)
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出版历程
  • 收稿日期:  2010-06-25
  • 修回日期:  2010-11-30
  • 刊出日期:  2011-01-15

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