Numerical model for the characterization of Maxwell-Wagner relaxation in piezoelectric and flexoelectric composite material

Research output: Contribution to journalArticleResearchpeer review

Authors

  • B. H. Nguyen
  • Xiaoying Zhuang
  • Timon Rabczuk

Research Organisations

External Research Organisations

  • Dalian University of Technology
  • Ton Duc Thang University
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Details

Original languageEnglish
Pages (from-to)75-91
Number of pages17
JournalComputers and Structures
Volume208
Early online date12 Jul 2018
Publication statusPublished - 1 Oct 2018

Abstract

Bi-layer structures can be engineered to investigate the interfacial polarization (Maxwell-Wagner polarization) of heterogeneous dielectric material, which shows the frequency-dependent property of the effective dielectric permittivity. However, in piezoelectric or flexoelectric heterostructures, behaviors of the effective piezoelectric or flexoelectric coefficients are remained unclear. Therefore, in this work, we present a numerical model of the Maxwell-Wagner polarization effect in a bi-layer structure made of piezoelectric or flexoelectric material. In this model, the conductivity, which qualitatively represents the free charge in a real dielectric material, is introduced to the complex dielectric permittivity. Several numerical examples are performed to validate the model and investigate the frequency dependence of the effective dielectric permittivity, piezoelectric and flexoelectric coefficients as well as the giant enhancement of dielectric constants. It is found that the static (at low frequency) and the instantaneous (at high frequency) effective coefficients are governed by those of the thin and thick layer, respectively. Moreover, both conductivity and volume ratio play essential roles in the enhancement of the dielectric constant that is underpinned by the Maxwell-Wagner effect.

Keywords

    Colossal dielectric constant, Flexoelectric, Maxwell-Wagner polarization, Piezoelectric

ASJC Scopus subject areas

Cite this

Numerical model for the characterization of Maxwell-Wagner relaxation in piezoelectric and flexoelectric composite material. / Nguyen, B. H.; Zhuang, Xiaoying; Rabczuk, Timon.
In: Computers and Structures, Vol. 208, 01.10.2018, p. 75-91.

Research output: Contribution to journalArticleResearchpeer review

Nguyen BH, Zhuang X, Rabczuk T. Numerical model for the characterization of Maxwell-Wagner relaxation in piezoelectric and flexoelectric composite material. Computers and Structures. 2018 Oct 1;208:75-91. Epub 2018 Jul 12. doi: 10.1016/j.compstruc.2018.05.006
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abstract = "Bi-layer structures can be engineered to investigate the interfacial polarization (Maxwell-Wagner polarization) of heterogeneous dielectric material, which shows the frequency-dependent property of the effective dielectric permittivity. However, in piezoelectric or flexoelectric heterostructures, behaviors of the effective piezoelectric or flexoelectric coefficients are remained unclear. Therefore, in this work, we present a numerical model of the Maxwell-Wagner polarization effect in a bi-layer structure made of piezoelectric or flexoelectric material. In this model, the conductivity, which qualitatively represents the free charge in a real dielectric material, is introduced to the complex dielectric permittivity. Several numerical examples are performed to validate the model and investigate the frequency dependence of the effective dielectric permittivity, piezoelectric and flexoelectric coefficients as well as the giant enhancement of dielectric constants. It is found that the static (at low frequency) and the instantaneous (at high frequency) effective coefficients are governed by those of the thin and thick layer, respectively. Moreover, both conductivity and volume ratio play essential roles in the enhancement of the dielectric constant that is underpinned by the Maxwell-Wagner effect.",
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AU - Nguyen, B. H.

AU - Zhuang, Xiaoying

AU - Rabczuk, Timon

N1 - Funding Information: The first and second authors owe the gratitude to the sponsorship from Sofja Kovalevskaja Programme of Alexander von Humboldt Foundation. The second author thankfully acknowledges the funding State Key Laboratory of Structural Analysis for Industrial Equipment (GZ1607) and National Science Foundation of China (11772234). We also thank Dr. Nanthakumar Srivilliputtur Subbiah for fruitful discussion. Comments and suggestions from the Reviewers are greatly appreciated.

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