Self-consistent analysis of coupled magnetoelectroelastic fracture : theoretical investigation and finite element verification
Self-consistent analysis of coupled magnetoelectroelastic fracture : theoretical investigation and finite element verification
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DOI：
10.1016/j.cma.2006.11.006
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发表时间：
2007-03
影响因子：
7.2
通讯作者：
Baolin Wang;Y. Mai
中科院分区：
文献类型：
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作者：
Baolin Wang;Y. Mai
本文建立了涉及力学、电场和磁场的磁电弹性介质的线性本构方程。定义了一个能量函数。从变分原理出发，建立了电磁弹性介质的有限元方程组。建立了电磁弹性耦合分析的有限元程序。采用有限元方法研究了磁电弹性介质中裂纹的行为。研究了尚未确定裂纹形状的变形裂纹，以及裂纹变形与裂纹内电磁场的耦合关系。这被称为“电磁自然边界条件（EM-NBC）”。给出了一种系统的分析方法，并与传统的不渗透和渗透裂隙面电磁边界条件的结果进行了比较。
In this paper, linear constitutive equations of magnetoelectroelastic media involving mechanical, electric and magnetic fields are presented. An energy function is defined. A system of finite element equations for the magnetoelectroelastic media is formulated from the variational principal. A finite element code is developed for the coupled electromagnetoelastic analysis. The finite element modeling is utilized to study the behavior of a crack in a magnetoelectroelastic medium. The deformed crack with a yet-to-be-determined crack shape, and the coupling between the deformation of the crack and the electromagnetic fields inside the crack are investigated. This is referred to as the “electromagnetic natural boundary condition (EM-NBC)”. A systematic strategy for the analysis of EM-NBC is given and the results are compared with those obtained from the traditional impermeable and permeable crack-face electromagnetic boundary conditions.