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

authored by: B. H. Nguyen, Xiaoying Zhuang, Timon Rabczuk
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Dalian University of Technology
Ton Duc Thang University
Type: Article
Journal: Computers and Structures
Volume: 208
Pages: 75-91
No. of pages: 17
ISSN: 0045-7949
Publication date: 01.10.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Civil and Structural Engineering, Modelling and Simulation, General Materials Science, Mechanical Engineering, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.compstruc.2018.05.006 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{ea59b00bb682402bb15bdea1fbc47662,
title = "Numerical model for the characterization of Maxwell-Wagner relaxation in piezoelectric and flexoelectric composite material",
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",
author = "Nguyen, {B. H.} and Xiaoying Zhuang and Timon Rabczuk",
note = "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.",
year = "2018",
month = oct,
day = "1",
doi = "10.1016/j.compstruc.2018.05.006",
language = "English",
volume = "208",
pages = "75--91",
journal = "Computers and Structures",
issn = "0045-7949",
publisher = "Elsevier Ltd.",
}