Static Problems

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


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].


Extension Torsion Thickness stretch Thickness shear Capacitance Piezoelectric stiffening 


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    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
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    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

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