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Constitutive model of ferroelectric composites with a viscoelastic and dielectric relaxation matrix I

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Abstract

Based on micromechanics and Laplace transformation, a constitutive model of ferroelectric composites with a linear elastic and linear dielectric matrix is developed and extended to the ferroelectric composites with a viscoelastic and dielectric relaxation matrix. Thus, a constitutive model for ferroelectric composites with a viscoelastic and dielectric relaxation matrix has been set up

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References

  1. Jiang, B., Li, X. D., Wu, D. H., Smart structures and their application,Advance in Mechanics, 1994, 24(3): 253.

    Google Scholar 

  2. Fang, D. N., Jiang, B., Electrical-mechanical behavior of ferroelectric composites,Mechanics and Practice, 1999, 21(3): 1.

    Google Scholar 

  3. Wang, B., Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material,Int. J. Solids Struct., 1992, 29 (3): 293.

    Article  MATH  Google Scholar 

  4. Jiang, B., Fang, D. N., Hwang, K. C., The effective properties of piezocomposites, Part I: single inclusion problem,Acta Mecha. Sinica, 1997, 13(4): 339.

    Article  Google Scholar 

  5. Jiang, B., Fang, D. N., Hwang, K.C., The effective properties of piezocomposites, Part II: effective properties,Acta Mecha. Sinica, 1997, 13(4): 347.

    Article  Google Scholar 

  6. Jiang, B., Fang, D. N., Hwang, K. C., A unified model for the multiphase piezocomposites with ellipsoidal inclusions,Inter. J. of Solids and Structures, 1999, 36(18): 2707.

    Article  MATH  Google Scholar 

  7. Jiang, B., The constitutive relations of ferroelectric composites,Ph. D. Dissertation, Beijing: Tsinghua University, 1998.

    Google Scholar 

  8. Maugin, G. A.,The Mechanical Behavior of Electromagnetic Solid Continua, Amsterdam: Elsevier Science Publishers, 1995.

    Google Scholar 

  9. Cheistnsen, R. M.,Theory of Viscoelasticity, An Introduction, New York: Academic Press, 1982.

    Google Scholar 

  10. Hedvig, P.,Dielectric Spectroscopy of Polymer, Budapest: Akademial Press, 1997.

    Google Scholar 

  11. Mura, T.,Micromechanics of Defects in Solids, Dordrecht: Martinus Nijhoff Publishers, 1987.

    Google Scholar 

  12. Fan, H., Qin, S., A piezoelectric sensor embedded in a non-piezoelectric matrix,Int. J. Engng. Sci., 1995, (33):379.

  13. Hwang, S. C., Lynch, C. S., McMeeking, R. M., Ferroelectric/ferroelastic interactions and a polarization awitching model,Acta Metall. Mater., 1995, 45(5): 2073.

    Google Scholar 

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Project supported by the National Natural Science Foundation of China (Grant No. 19891180).

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Jiang, B., Fang, D. & Huang, K. Constitutive model of ferroelectric composites with a viscoelastic and dielectric relaxation matrix I. Sci. China Ser. A-Math. 42, 1193–1200 (1999). https://doi.org/10.1007/BF02875986

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  • DOI: https://doi.org/10.1007/BF02875986

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