Dynamic flexoelectric effect on piezoelectric nanostructures

authored by: B. H. Nguyen, Srivilliputtur Subbiah Nanthakumar, Xiaoying Zhuang, Peter Wriggers, X. Jiang, Timon Rabczuk
Abstract: Flexoelectricity, which represents the spontaneous electric polarization induced by the strain gradient, is a universal electromechanical coupling effect regardless of symmetry in all dielectric material. In solid dielectric material, the contribution from flexoelectricity can be due to four related phenomena: static and dynamic bulk flexoelectricity, surface flexoelectricity and surface piezoelectricity. While the surface flexoelectric effect can be negligible, the magnitude of the remaining three phenomena are comparable. Presently, the role of the static bulk flexoelectric and surface piezoelectric effects in the energy harvesters has been intensively studied, the contribution from dynamic flexoelectric effect remains unclear. In this work, based on the conventional beam theory, equations of motion considering dynamic flexoelectric effect are investigated. Consequently, the free vibration of the simply supported beam is studied in order to examine the influence of the dynamic flexoelectricity on natural frequency. From the numerical studies, it is found that dynamic flexoelectric effect is more influential on thick beam model and higher vibration modes. In addition, the results show that the relation between the static and dynamic flexoelectric coefficients can also alter the free vibration response.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Dalian University of Technology
North Carolina State University
Ton Duc Thang University
Type: Article
Journal: European Journal of Mechanics, A/Solids
Volume: 71
Pages: 404-409
No. of pages: 6
ISSN: 0997-7538
Publication date: 15.06.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Materials Science(all), Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all)
Electronic version(s): https://doi.org/10.1016/j.euromechsol.2018.06.002 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{1841255f1b944354b16a692df1d2db0e,
title = "Dynamic flexoelectric effect on piezoelectric nanostructures",
abstract = "Flexoelectricity, which represents the spontaneous electric polarization induced by the strain gradient, is a universal electromechanical coupling effect regardless of symmetry in all dielectric material. In solid dielectric material, the contribution from flexoelectricity can be due to four related phenomena: static and dynamic bulk flexoelectricity, surface flexoelectricity and surface piezoelectricity. While the surface flexoelectric effect can be negligible, the magnitude of the remaining three phenomena are comparable. Presently, the role of the static bulk flexoelectric and surface piezoelectric effects in the energy harvesters has been intensively studied, the contribution from dynamic flexoelectric effect remains unclear. In this work, based on the conventional beam theory, equations of motion considering dynamic flexoelectric effect are investigated. Consequently, the free vibration of the simply supported beam is studied in order to examine the influence of the dynamic flexoelectricity on natural frequency. From the numerical studies, it is found that dynamic flexoelectric effect is more influential on thick beam model and higher vibration modes. In addition, the results show that the relation between the static and dynamic flexoelectric coefficients can also alter the free vibration response.",
keywords = "Beam model, Dynamic flexoelectric, Flexoelectricity, Free vibration",
author = "Nguyen, {B. H.} and Nanthakumar, {Srivilliputtur Subbiah} and Xiaoying Zhuang and Peter Wriggers and X. Jiang and Timon Rabczuk",
note = "Funding information: The authors acknowledge the support from Alexander von Humboldt Foundation for the Sofja Kovalevskaja Project at Leibniz Universit{\"a}t Hannover.",
year = "2018",
month = jun,
day = "15",
doi = "10.1016/j.euromechsol.2018.06.002",
language = "English",
volume = "71",
pages = "404--409",
journal = "European Journal of Mechanics, A/Solids",
issn = "0997-7538",
publisher = "Elsevier BV",
}