Electroelastic stress in an electrostrictive material with charged surface electrodes

Electroelastic stress in an electrostrictive material with charged surface electrodes
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具有带电表面电极的电致伸缩材料中的电弹性应力

DOI:
10.1016/j.ijengsci.2010.04.008
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发表时间:
2010-12
影响因子:
6.6
通讯作者:
Kuang, Zhen-Bang
Kuang, Zhen-Bang
中科院分区:
工程技术1区
文献类型:
--
作者:
Jiang, Quan;Gao, Cun-Fa;Kuang, Zhen-Bang

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用复变方法研究了半无限大电致伸缩固体表面共线电极的场奇异性。首先,基于解析延拓方法,推导出共线电极情况下电场和应力的势函数的通解。然后,分别给出了单电极和双电极情况下的显式结果。最后,通过数值计算,讨论了外加电场载荷对电极场奇异性的影响。研究发现,即使在较低的外加电场水平下,电极尖端附近也会产生相当大的应力。此外,对于多电极的情况,电场和应力的分布比单电极的情况要复杂得多。
Field singularities of collinear electrodes on the surface of a half-infinite electrostrictive solid are studied in terms of the complex variable method. Firstly, the general solutions for the potential functions of electric fields and stresses are derived for the case of collinear electrodes based on analytical continuation method. Then, explicit results are given for the cases of one and two electrodes, respectively. Finally, numerical calculations are made to discuss the effects of applied electric loading on the field singularities near the electrodes. It is found that even at the low level of applied electric loading, considerable high stresses will be induced around the tip of electrodes. Moreover, for the cases of multiple electrodes, the distribution of electric fields and stresses is more complicated than the case of a single electrode.
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