A variational principle for the equations of viscopiezoelectricity

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Abstract

The three-dimensional equations of linear viscopiezoelectricity and an accompanying electromechanical energy theorem are deduced, by the quasielectrostatic approximation, from the equations of viscoelectromagnetism and a generalized Poynting's theorem, respectively. For a viscopiezoelectric solid of volume V and bounding surface S, the internal energy, kinetic energy, and electric enthalpy densities as well as the variation of work done over S and the variation of energy dissipation in V are defined. A variational principle in terms of the defined functions is presented. It is shown that, from the principle, the equations of viscopiezoelectricity in V and the natural boundary conditions on S are obtained. © 2008 IEEE.

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Lee, P. C. Y., & Edwards, N. P. (2008). A variational principle for the equations of viscopiezoelectricity. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 55(2), 293–296. https://doi.org/10.1109/TUFFC.2008.648

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