On the necessity of including electrical conductivity in the description of piezoelectric fracture in real materials

Harry F. Tiersten; Ting Leung Sham

doi:10.1109/58.646895

On the necessity of including electrical conductivity in the description of piezoelectric fracture in real materials

Harry F. Tiersten
, Ting Leung Sham

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Because no real material is a perfect insulator, but has some small electrical conductivity, under static circumstances the piezoelectric equations are not applicable to any real material and, hence, have no physical significance. On account of the existence of real current, when the timedependence is sufficiently slow, the zero charge equation of electrostatics does not apply and must be replaced by the equation of the continuity of electric charge.

Original language	English
Pages (from-to)	1-3
Number of pages	3
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	45
Issue number	1
DOIs	https://doi.org/10.1109/58.646895
State	Published - 1998
Externally published	Yes

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abstract = "Because no real material is a perfect insulator, but has some small electrical conductivity, under static circumstances the piezoelectric equations are not applicable to any real material and, hence, have no physical significance. On account of the existence of real current, when the timedependence is sufficiently slow, the zero charge equation of electrostatics does not apply and must be replaced by the equation of the continuity of electric charge.",

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AB - Because no real material is a perfect insulator, but has some small electrical conductivity, under static circumstances the piezoelectric equations are not applicable to any real material and, hence, have no physical significance. On account of the existence of real current, when the timedependence is sufficiently slow, the zero charge equation of electrostatics does not apply and must be replaced by the equation of the continuity of electric charge.

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On the necessity of including electrical conductivity in the description of piezoelectric fracture in real materials

Abstract

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