This chapter presents a brief summary of the basic theory of linear piezoelectricity based mainly on the IEEE Standard on Piezoelectricity [1] and the classical book on piezoelectricity [2] by H. F. Tiersten who also wrote the theoretical part of [1]. The organization of this chapter is essentially a shortened version of Chapter 2 of An Introduction to the Theory of Piezoelectricity [3]. This chapter uses Cartesian tensor notation, the summation convention for repeated tensor indices, and the convention that a comma followed by an index denotes partial differentiation with respect to the coordinate associated with the index. A superimposed dot represents a time derivative.


IEEE Standard Charge Equation Theoretical Part Nonlinear Electrodynamic Internal Energy Density 


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    Meitzler AH, Tiersten HF, Warner AW et al. (1988) IEEE Standard on Piezoelectricity. IEEE, New YorkGoogle Scholar
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    Tiersten HF (1969) Linear Piezoelectric Plate Vibrations. Plenum, New YorkGoogle Scholar
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    Yang JS (2005) An Introduction to the Theory of Piezoelectricity. Springer, New YorkMATHGoogle Scholar
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    Tiersten HF (1971) On the nonlinear equations of thermoelectroelasticity. Int J Engng Sci 9: 587–604MATHCrossRefMathSciNetGoogle Scholar
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    Lax M, Nelson DF (1971) Linear and nonlinear electrodynamics in elastic anisotropic dielectrics. Phys Rev B 4:3694–3731CrossRefGoogle Scholar
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    Holland R, EerNisse EP (1969) Design of Resonant Piezoelectric Devices. MIT Press, Cambridge, MAGoogle Scholar

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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Jiashi Yang
    • 1
  1. 1.Department of Engineering Mechanics University of NebraskaLincolnUSA

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