A Mechanical Approach to Solve Two-Dimensional Static Electrical and Magnetic Fields: Applications to Contact Between Conductors Under Electrical Load

S. Hao; Q. Wang; L. M. Keer

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A Mechanical Approach to Solve Two-Dimensional Static Electrical and Magnetic Fields: Applications to Contact Between Conductors Under Electrical Load

机译：解决二维静电场和磁场的机械方法：在电负载下导体之间接触的应用

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A general approach has been developed to obtain analytical solutions to the boundary-value problems for a two-dimensional conductor under static electric and magnetic fields. This approach is based on a "congruity principle" between a solution of Maxwell's equation and the corresponding linear elastic plane stress solution with constant mean stress or plane strain solution with constant mean in-plane stress. It also leads to a new avenue to construct analytical solutions of antiplane strain boundary-value problems using plane stress/strain solutions, or vice versa, in linear elastic theory. This approach has been applied for such engineering problems as contact between two conducting solid bodies under electrical load.

机译：已经开发出一种通用方法来获得二维导体在静电场和磁场下的边值问题的解析解。该方法基于麦克斯韦方程组的解与相应的具有恒定平均应力的线性弹性平面应力解决方案或具有恒定平均平面内应力的平面应变解决方案之间的“一致性原理”。这也为在线性弹性理论中使用平面应力/应变解构造反平面应变边界值问题的解析解提供了一条新途径，反之亦然。该方法已经应用于诸如电负载下的两个导电固体之间的接触这样的工程问题。

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来源
《Journal of Applied Mechanics: Transactions of the ASME》 |2010年第3期|共8页
作者
S. Hao; Q. Wang; L. M. Keer;
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正文语种 eng
中图分类应用力学;
关键词
Maxwell equation; Electrical load; Conductor; Magnetic field; Contact; Congruity principle; Analytical antiplane strain solution;

机译：麦克斯韦方程;电负载;导体;磁场;接触;一致性原理;反平面应变解析解;

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1. A Mechanical Approach to Solve Two-Dimensional Static Electrical and Magnetic Fields: Applications to Contact Between Conductors Under Electrical Load [J] . S. Hao, Q. Wang, L. M. Keer Journal of Applied Mechanics: Transactions of the ASME . 2010,第3期

机译：解决二维静电场和磁场的机械方法：在电负载下导体之间接触的应用
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A Mechanical Approach to Solve Two-Dimensional Static Electrical and Magnetic Fields: Applications to Contact Between Conductors Under Electrical Load

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