磁电弹性材料杂交应力有限元的应力模式

中国民航大学学报 ›› 2013, Vol. 31 ›› Issue (3): 58-61.

磁电弹性材料杂交应力有限元的应力模式

卿光辉，宋佳琳

（中国民航大学航空工程学院，天津300300）

收稿日期:2012-06-08 修回日期:2012-10-10 出版日期:2013-06-23 发布日期:2013-10-08
作者简介:卿光辉（1968—），男，湖南新化人，教授，博士，研究方向为复合材料结构力学.

Stress modes in hybrid stress finite elements of magneto-electro-elastic materials

QING Guang-hui,SONG Jia-lin

(College of Aeronautical Engineering,CAUC,Tianjin 300300,China)

Received:2012-06-08 Revised:2012-10-10 Online:2013-06-23 Published:2013-10-08

摘要/Abstract

摘要：

首先推导了磁电弹性材料的杂交应力有限元列式，然后在假设单元边界位移场的基础上，根据等函数法进一步推导了磁电弹性材料的3D-8 节点和3D-20 节点杂交应力有限元的广义假设应力矩阵。为磁电弹性材料杂交应力有限元模型的构建提供了理论基础。最后以3D-8 节点杂交应力有限单元为例，对磁电弹性材料层合板进行了有限元分析，数据显示所得结果具有较高的计算精度。

关键词: 磁电弹性材料, 杂交应力有限元, 等函数法, 广义应力矩阵

Abstract:

A hybrid stress finite element formulation for magnetoelectro-elastic materials is derived and then on the basis
of the boundary displacement field assumed previously，the generalized assumed stress matrixes of 3D-8
nodes hybrid stress finite element and 3D-20 nodes hybrid stress finite element are derived by employing the
iso-function method. Thus it provides the theoretical basis for establishing the hybrid finite stress element
model of magneto-electro-elastic materials. Finally，taking the 3D-8 nodes hybrid stress finite element as
example，a finite element analysis is performed to a magneto-electro-elastic material laminates and a perfect
result is obtained.

Key words: magneto-electro-elastic material, hybrid stress finite element, iso-function method, generalized stress
matrix

中图分类号:

O242.21

卿光辉，宋佳琳. 磁电弹性材料杂交应力有限元的应力模式[J]. 中国民航大学学报, 2013, 31(3): 58-61.

QING Guang-hui,SONG Jia-lin. Stress modes in hybrid stress finite elements of magneto-electro-elastic materials[J]. , 2013, 31(3): 58-61.

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