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Finite Element Modeling of Polarization Switching in Electro-Mechanically Coupled Materials

전기-기계적으로 연성된 재료의 분극역전 거동에 대한 유한요소 모델링


Abstract

A finite element model for polarization switching in electro-mechanically coupled materials is proposed and applied to predict the switching behavior of a two-dimensional ferroelectric ceramic. A complicated micro-structure existing in the material is modeled as il continuum body and a simple 3 node triangle finite element with nodal displacement and voltage degrees of freedom is used for a finite element analysis. The elements use nonlinear constitutive equations, switching criterion and kinetic relation, fur representation of material response at strong electric and stress fields. The polarization state of the material is represented by internal variables in each element, which are updated at each simulation step based on the proposed constitutive equations. The model reproduces strain and electric displacement hysteresis loops observed in the material.

Keywords

References

  1. Jona, F. and Shirane, G., 1962, Ferroelectric Crystals, Pergamon Press
  2. Hwang, S. C., Lynch, C. S. and McMeeking, R. M., 1995, 'Ferroelectric/Ferroelastic Interactions and a Polarization Switching Model,' Acta Metallurgica Materialia, Vol. 43, No. 5, pp. 2073-2084 https://doi.org/10.1016/0956-7151(94)00379-V
  3. Huo, Y. and Jiang, Q., 1998, 'Medeling of Domain Switching in Ferroelectric Ceramics: an Example,' International Journal of Solids and Structures, Vol. 35, pp. 1339-1353 https://doi.org/10.1016/S0020-7683(97)00095-4
  4. Kim, S. J., 2000, 'A One-Dimensional Continuum Model for Thermoelectric Phase Transformations in Ferroelectrics,' International Journal of Solids and Structures, Vol. 37, pp. 1145-1164 https://doi.org/10.1016/S0020-7683(98)00251-0
  5. 김상주, 1998, '강유전체의 열전거동에 대한 1차원 연속체 모델,' 대한기계학회 추계학술대회 논문집 A, pp. 493-498
  6. Jaffe, B., Cook, W. R. and Jaffe, W. R., 1971, Piezoelectric Ceramics, Academic Press
  7. Lynch, C. S., 1996, 'The Effect of Uniaxial Stress on the Electromechanical Response of 8/65/35 PLZT,' Acta Materialia, Vol. 44, pp. 4137-4148 https://doi.org/10.1016/S1359-6454(96)00062-6
  8. Scharfele, A. and Hardtl, K. H., 1996, 'Ferroelastic Properties of lead zirconate titanate ceramics,' Journal of the American Ceramic Society, Vol. 79, pp. 2637-2640