Advertisement

Static Problems

  • Jiashi Yang
Chapter
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 9)

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].

Keywords

Extension Torsion Thickness stretch Thickness shear Capacitance Piezoelectric stiffening 

References

  1. 1.
    J.S. Yang, Antiplane Motions of Piezoceramics and Acoustic Wave Devices (World Scientific, Singapore, 2010)CrossRefGoogle Scholar
  2. 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)Google Scholar
  3. 3.
    R. D. Mindlin, An Introduction to the Mathematical Theory of Vibrations of Elastic Plates, ed. by J. S. Yang (World Scientific, Singapore, 2006).Google Scholar
  4. 4.
    V.E. Bottom, Introduction to Quartz Crystal Unit Design (Van Nostrand Reinhold, New York, 1982)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Jiashi Yang
    • 1
  1. 1.Department of Mechanical and Materials EngineeringUniversity of Nebraska-LincolnLincolnUSA

Personalised recommendations