Three-phase piezoelectric inclusions of arbitrary shape with internal uniform electroelastic field

Three-phase piezoelectric inclusions of arbitrary shape with internal uniform electroelastic field
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具有内部均匀电弹性场的任意形状的三相压电夹杂物

DOI:
10.1016/j.ijengsci.2012.10.003
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发表时间:
2013-02
影响因子:
6.6
通讯作者:
Zhou, K.
Zhou, K.
中科院分区:
工程技术1区
文献类型:
--
作者:
Wang, X.;Zhou, K.

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本文研究了任意形状三相压电夹杂中压电基体在远距离均匀电弹载荷作用下的内部电弹场。结果表明,在中间界面层存在的情况下,非椭圆夹杂内的电弹内场可以有条件或无条件地均匀分布。为了保证三相压电复合材料内部电弹性场的条件均匀性,对于给定的三相压电复合材料的电弹性常数,应适当设计界面层的厚度,且远场均匀电位移应依赖于所施加的远场均匀应力。为了保证无条件均匀的内部电弹场,界面层的电弹常数可以由给定的界面层厚度和给定的内部夹杂物和周围基体的电弹常数唯一地确定。有趣的是,我们的分析表明,即使在界面层的情况下,内部的电弹性场内的任意形状的压电夹杂物仍然可以有条件地均匀,如果两相复合材料的电弹性常数满足一个限制。
We investigate the internal electroelastic field within a three-phase piezoelectric inclusion of arbitrary shape when the piezoelectric matrix is subjected to remote uniform electroelastic loadings. It is observed that in the presence of the intermediate interphase layer, the internal electroelastic field within an inclusion of non-elliptical shape can be conditionally or unconditionally uniform. In order to ensure that the internal electroelastic field is conditionally uniform, the thickness of the interphase layer should be properly designed for given electroelastic constants of the three-phase piezoelectric composite, and the remote uniform electric displacements should be dependent on the applied remote uniform stresses. To ensure an unconditionally uniform internal electroelastic field, the electroelastic constants of the interphase layer can be uniquely determined by given thickness of the interphase layer and given electroelastic constants of both the internal inclusion and the surrounding matrix. Interestingly, our analysis indicates that even in the absence of the interphase layer, the internal electroelastic field within a piezoelectric inclusion of arbitrary shape can still be conditionally uniform if the electroelastic constants of the two-phase composite satisfy a restriction.
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