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Static Problems

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An Introduction to the Theory of Piezoelectricity

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 9))

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Abstract

In this chapter, some static solutions to the equations of linear piezoelectricity are presented. A few simple deformations useful in piezoelectric devices are discussed. The concept of electromechanical coupling factor is introduced. In Particular, Sects. 3.3, 3.4, 3.8, 3.9, 3.10, 3.11, 3.12, and 3.13 are on antiplane deformations of polarized ceramics [1].

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References

  1. J.S. Yang, Antiplane Motions of Piezoceramics and Acoustic Wave Devices (World Scientific, Singapore, 2010)

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  2. A.H. Meitzler, H.F. Tiersten, A.W. Warner, D. Berlincourt, G.A. Couqin, F.S. Welsh III, IEEE Standard on Piezoelectricity (IEEE, New York, 1988)

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  3. R. D. Mindlin, An Introduction to the Mathematical Theory of Vibrations of Elastic Plates, ed. by J. S. Yang (World Scientific, Singapore, 2006).

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  4. V.E. Bottom, Introduction to Quartz Crystal Unit Design (Van Nostrand Reinhold, New York, 1982)

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Yang, J. (2018). Static Problems. In: An Introduction to the Theory of Piezoelectricity. Advances in Mechanics and Mathematics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-03137-4_3

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