Abstract
In this chapter, we introduce the basic equations of piezoelectric materials. These equations include four types of the piezoelectric equations that describe the electromechanical coupling, gradient equations and equilibrium equation. The relations between the electro-elastic material constants appearing in different piezoelectric equations are provided. A set of governing differential equations for mechanical displacements and electrical potential are derived in a fixed rectangular coordinate system.
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© 2013 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg
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Fang, D., Liu, J. (2013). Basic Equations of Piezoelectric Materials. In: Fracture Mechanics of Piezoelectric and Ferroelectric Solids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30087-5_4
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DOI: https://doi.org/10.1007/978-3-642-30087-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30086-8
Online ISBN: 978-3-642-30087-5
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