Dynamic flexoelectric effect on piezoelectric nanostructures

B. H. Nguyen, S. S. Nanthakumar, X. Zhuang, P. Wriggers, X. Jiang, Timon Rabczuk

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)404-409
Number of pages6
JournalEuropean Journal of Mechanics, A/Solids
Volume71
DOIs
Publication statusPublished - 2018 Sep 1
Externally publishedYes

Fingerprint

Nanostructures
Piezoelectricity
free vibration
Free Vibration
Electromechanical Coupling
Strain Gradient
Surface Effects
piezoelectricity
Electromechanical coupling
Harvesters
Natural Frequency
Equations of motion
resonant frequencies
Numerical Study
vibration mode
Natural frequencies
Equations of Motion
equations of motion
Polarization
Symmetry

Keywords

  • Beam model
  • Dynamic flexoelectric
  • Flexoelectricity
  • Free vibration

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

Nguyen, B. H., Nanthakumar, S. S., Zhuang, X., Wriggers, P., Jiang, X., & Rabczuk, T. (2018). Dynamic flexoelectric effect on piezoelectric nanostructures. European Journal of Mechanics, A/Solids, 71, 404-409. https://doi.org/10.1016/j.euromechsol.2018.06.002

Dynamic flexoelectric effect on piezoelectric nanostructures. / Nguyen, B. H.; Nanthakumar, S. S.; Zhuang, X.; Wriggers, P.; Jiang, X.; Rabczuk, Timon.

In: European Journal of Mechanics, A/Solids, Vol. 71, 01.09.2018, p. 404-409.

Research output: Contribution to journalArticle

Nguyen, BH, Nanthakumar, SS, Zhuang, X, Wriggers, P, Jiang, X & Rabczuk, T 2018, 'Dynamic flexoelectric effect on piezoelectric nanostructures', European Journal of Mechanics, A/Solids, vol. 71, pp. 404-409. https://doi.org/10.1016/j.euromechsol.2018.06.002
Nguyen, B. H. ; Nanthakumar, S. S. ; Zhuang, X. ; Wriggers, P. ; Jiang, X. ; Rabczuk, Timon. / Dynamic flexoelectric effect on piezoelectric nanostructures. In: European Journal of Mechanics, A/Solids. 2018 ; Vol. 71. pp. 404-409.
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