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The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-03-15 , DOI: 10.1002/zamm.202100050 Xu Wang 1 , Peter Schiavone 2
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-03-15 , DOI: 10.1002/zamm.202100050 Xu Wang 1 , Peter Schiavone 2
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Using the Stroh octet formalism, we obtain the electroelastic fields in an infinite homogeneous piezoelectric medium containing a parabolic Eshelby inclusion undergoing uniform eigenstrains and eigenelectric fields. We prove that the internal electroelastic field defining stresses, total strains, electric displacements, total electric fields and rigid-body rotation inside the parabolic inclusion is uniform. The internal uniform electroelastic field is expressed explicitly in terms of the reduced generalized compliances and the imposed eigenstrains and eigenelectric fields. The decaying non-uniform electroelastic field in the exterior of the parabolic inclusion is also obtained.
中文翻译：
具有均匀本征应变和本征电场的压电抛物线夹杂物内外的电弹性场
使用 Stroh 八位字节形式主义，我们获得了无限均匀压电介质中的电弹性场，该介质包含经历均匀本征应变和本征电场的抛物线 Eshelby 夹杂物。我们证明了定义抛物线夹杂物内部应力、总应变、电位移、总电场和刚体旋转的内部电弹性场是均匀的。内部均匀电弹性场明确表示为减少的广义柔量和施加的本征应变和本征电场。还得到了抛物线夹杂物外部衰减的非均匀电弹性场。
更新日期：2021-03-15
中文翻译：
具有均匀本征应变和本征电场的压电抛物线夹杂物内外的电弹性场
使用 Stroh 八位字节形式主义，我们获得了无限均匀压电介质中的电弹性场，该介质包含经历均匀本征应变和本征电场的抛物线 Eshelby 夹杂物。我们证明了定义抛物线夹杂物内部应力、总应变、电位移、总电场和刚体旋转的内部电弹性场是均匀的。内部均匀电弹性场明确表示为减少的广义柔量和施加的本征应变和本征电场。还得到了抛物线夹杂物外部衰减的非均匀电弹性场。
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