Kim, Sang-Joo A one-dimensional continuum model for thermoelectric phase transformations in ferroelectrics. (English) Zbl 0968.74024 Int. J. Solids Struct. 37, No. 8, 1145-1164 (2000). 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. Cited in 1 ReviewCited in 1 Document MSC: 74F15 Electromagnetic effects in solid mechanics 74N05 Crystals in solids 82D45 Statistical mechanics of ferroelectrics 74A15 Thermodynamics in solid mechanics Keywords:one-dimensional constitutive model of ferroelectric material; Helmholtz free energy function; kinetic relation; nucleation criterion; three-well potential energy function; quasi-static thermoelectrical loadings PDFBibTeX XMLCite \textit{S.-J. Kim}, Int. J. Solids Struct. 37, No. 8, 1145--1164 (2000; Zbl 0968.74024) Full Text: DOI