On the problem of piezoelectric solid with an elliptic hole

doi:10.6052/0459-1879-2004-2-2003-187

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Chinese Journal of Theoretical and Applied Mechanics > 2004 > 36(2): . > DOI: 10.6052/0459-1879-2004-2-2003-187 CSTR: 32045.14.0459-1879-2004-2-2003-187

On the problem of piezoelectric solid with an elliptic hole[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(2). DOI: 10.6052/0459-1879-2004-2-2003-187

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On the problem of piezoelectric solid with an elliptic hole[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(2). DOI: 10.6052/0459-1879-2004-2-2003-187

Citation:

On the problem of piezoelectric solid with an elliptic hole[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(2). DOI: 10.6052/0459-1879-2004-2-2003-187

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On the problem of piezoelectric solid with an elliptic hole

南京航空航天大学航空宇航学院,210016

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Abstract

An electroelastic analysis is performed on a transverselyisotropic material containing elliptic hole, which subject to a uniformstress field $\sigma ^\infty$ and a uniform electric displacement field $D^\infty$ at infinity while the surface of the hole is free of tractionand electrically open. Taking PZT-4 ceramic into consideration, the resultsbased on the exact electric boundary conditions and the impermeable electricboundary conditions are all obtained. It can be seen that the relatedresults of these two electric boundary conditions are entirely identicalwhen the hole is a circular hole. The impermeable electric boundarycondition is becoming incorrect with the elliptic hole degenerating into acrack. A comparison between these present results and the related resultsshows that the present results are validity. It also shows that some resultsgiven by Sosa are incorrect maybe due to his calculation, not theimpermeable electric boundary.
- transversely isotropic,piezoelectric,elliptical hole,circular hole,electric boundary

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