On a vector potential formulation for 3D electromechanical finite element analysis
On a vector potential formulation for 3D electromechanical finite element analysis
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用于 3D 机电有限元分析的矢量势公式
DOI：
10.1002/cnm.818
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发表时间：
2005
影响因子：
--
通讯作者：
H. Balke
中科院分区：
文献类型：
--
作者：
A. Semenov;H. Kessler;Albrecht C. Liskowsky;H. Balke
将电感应矢量势应用于静态三维完全耦合机电问题。一个库仑规范条件施加在电矢势改善了非线性问题的收敛行为，并结合一组离散的Dirichlet边界条件，它可以强制执行唯一的矢势解决方案。基于刚度矩阵的谱分析，库仑规范与其他规范条件进行了比较。本文提出了一种带库仑规范的弱矢势公式的惩罚形式，并在静电学、压电学和铁电学的一些数值例子上进行了检验。版权所有© 2005年约翰威利父子有限公司。
A vector potential for the electric induction is applied to static three-dimensional fully coupled electromechanical problems. A Coulomb gauge condition imposed on the electric vector potential improves the convergence behaviour of nonlinear problems, and in combination with a discrete set of Dirichlet boundary conditions, it can enforce unique vector potential solutions. Based on a spectral analysis of the stiffness matrix, the Coulomb gauge is compared with other gauge conditions. A penalized version of the weak vector potential formulation with Coulomb gauge is proposed and tested on some numerical examples in electrostatics, piezoelectricity and ferroelectricity. Copyright © 2005 John Wiley & Sons, Ltd.