Details
| Original language | English |
|---|---|
| Pages (from-to) | 404-409 |
| Number of pages | 6 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 71 |
| Publication status | Published - 15 Jun 2018 |
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
ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
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In: European Journal of Mechanics, A/Solids, Vol. 71, 15.06.2018, p. 404-409.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dynamic flexoelectric effect on piezoelectric nanostructures
AU - Nguyen, B. H.
AU - Nanthakumar, Srivilliputtur Subbiah
AU - Zhuang, Xiaoying
AU - Wriggers, Peter
AU - Jiang, X.
AU - Rabczuk, Timon
N1 - Funding information: The authors acknowledge the support from Alexander von Humboldt Foundation for the Sofja Kovalevskaja Project at Leibniz Universität Hannover.
PY - 2018/6/15
Y1 - 2018/6/15
N2 - 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.
AB - 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.
KW - Beam model
KW - Dynamic flexoelectric
KW - Flexoelectricity
KW - Free vibration
UR - http://www.scopus.com/inward/record.url?scp=85049325600&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2018.06.002
DO - 10.1016/j.euromechsol.2018.06.002
M3 - Article
AN - SCOPUS:85049325600
VL - 71
SP - 404
EP - 409
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
ER -