## 留言板

 引用本文: 张灿辉, 黄黔, 冯伟. 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, HUANG Qian, FENG Wei. Deformation Rigidity Analysis of Assumed Stress Modes in Hybrid Elements[J]. Applied Mathematics and Mechanics, 2006, 27(7): 757-764.
 Citation: ZHANG Can-hui, HUANG Qian, FENG Wei. Deformation Rigidity Analysis of Assumed Stress Modes in Hybrid Elements[J]. Applied Mathematics and Mechanics, 2006, 27(7): 757-764.

## 杂交元假设应力模式的变形刚度分析

###### 作者简介:张灿辉(1967- ),男,福建惠安人,讲师,博士(联系人.Tel:+86-592-2183505;Fax:+86-592-2186421;E-mail:chzhang@xmu.edu.cn).
• 中图分类号: O242.21

## Deformation Rigidity Analysis of Assumed Stress Modes in Hybrid Elements

• 摘要: 通过本征变形模式提出识别杂交元零能变形模式和假设应力场中零能应力模式的新方法，同时给出了在假设应力场中增加应力模式时杂交元变形刚度的计算公式．从而从理论上阐明了在假设应力场中增加零能应力模式不仅不能抑制单元零能变形模式而且可能增加非零能变形模式的刚度，因此不宜用来假设应力场；同时进一步指出寄生应力模式将使单元产生虚假应变能而使单元显得过刚，因此即使它能够抑制单元零能变形模式也不宜用来假设应力场，从而为假设应力场提供了合理的建议．数值算例说明了包含零能应力模式和寄生应力模式时单元的性能．
•  [1] Pian T H H.Derivation of element stiffness matrices[J].AIAA,1964,2(3)：576—577. doi: 10.2514/3.2372 [2] HUANG Qian.Modal analysis of deformable bodies with finite degree of deformation freedom-an approach to determination of natural stress modes in hybrid finite elements[A].In:CHIEN Wei-zang,FU Zi-zhi,Eds.Advances in Applied Mathematics & Mechanics in China[C].Beijing:IAP (International Academic Publishers),1991,3:283—303. [3] Han J,Hoa S V.A three-dimensional multilayer composite finite element for stress analysis of composite laminates[J].International Journal for Numerical Methods in Engineering,1993,36(22):3903—3914. [4] FENG Wei,Hoa S V,HUANG Qian. Classification of stress modes in assumed stress fields of hybrid finite elements[J].International Journal for Numerical Methods in Engineering,1997，40(23):4313—4339. [5] 吴长春,卞学.非协调数值分析与杂交元方法[M].北京:科学出版社,1997,128—174. [6] Pian T H H,Chen D P. On the suppression of zero energy deformation modes[J].International Journal for Numerical Methods in Engineering,1983,19(12):1741—1752. [7] Cheung Y K,Wu C C.A study on the stability of 3-fild finite elements by theory of zero energy modes[J].International Journal of Solids & Structures,1992,29(2):215—229. [8] 张灿辉,冯伟,黄黔.杂交元本征应力模式和应力子空间的性质研究[J].力学季刊，2002,23(1)：9—14. [9] 张灿辉, 冯伟,黄黔.杂交应力元的应力子空间和柔度矩阵H对角化方法[J].应用数学和力学，2002,23(11)：1124—1132.

##### 计量
• 文章访问数:  2017
• HTML全文浏览量:  74
• PDF下载量:  717
• 被引次数: 0
##### 出版历程
• 收稿日期:  2005-05-27
• 修回日期:  2006-03-30
• 刊出日期:  2006-07-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈