Abstract
The universal thermodynamic variational principle proposed in the previous papers for nonlinear dielectrics and thermopiezoelectricity is extended to the thermodiffusion theory in pyroelectricity, and it is used as a fundamental physical principle to derive the simple complete governing equations of the generalized thermo-electro-diffuso-elastic theory in this paper. In the generalized thermo-electro-diffuso-elastic theory it is assumed that the variation of temperature needs the extra heat which introduces the inertial entropy, and the variation of chemical potential also needs the extra heat which introduces the inertial concentration, etc. The electro-chemical Gibbs function variational principle, the electric Gibbs function variational principle and the internal energy variational principle are derived in this paper.
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Kuang, ZB. Variational principles for generalized thermodiffusion theory in pyroelectricity. Acta Mech 214, 275–289 (2010). https://doi.org/10.1007/s00707-010-0285-x
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DOI: https://doi.org/10.1007/s00707-010-0285-x