磁电弹性材料杂交应力有限元的应力模式

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

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。

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-funetion 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.