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A one-dimensional continuum model for thermoelectric phase transformations in ferroelectrics. (English) Zbl 0968.74024

Summary: We construct an explicit one-dimensional constitutive model that is capable of describing the thermoelectrical response of a ferroelectric material. The model consists of a Helmholtz free energy function, a kinetic relation, and a nucleation criterion. The free energy is associated with a three-well potential energy function, the kinetic relation is taken to be a simple linear function of driving traction, and the nucleation is assumed to occur at a critical value of driving traction. The predictions of the model under various quasi-static thermoelectrical loadings are examined and compared with experimental observations.

MSC:

74F15 Electromagnetic effects in solid mechanics
74N05 Crystals in solids
82D45 Statistical mechanics of ferroelectrics
74A15 Thermodynamics in solid mechanics
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