Computational modeling of flexoelectricity-A review

Publikation: Beitrag in FachzeitschriftÜbersichtsarbeitForschungPeer-Review

Autoren

  • Xiaoying Zhuang
  • Binh Huy Nguyen
  • Subbiah Srivilliputtur Nanthakumar
  • Thai Quoc Tran
  • Naif Alajlan
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Ton Duc Thang University
  • King Saud University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer1326
Seitenumfang29
FachzeitschriftEnergies
Jahrgang16
Ausgabenummer3
PublikationsstatusVeröffentlicht - 12 März 2020

Abstract

Electromechanical coupling devices have been playing an indispensable role in modern engineering. Particularly, flexoelectricity, an electromechanical coupling effect that involves strain gradients, has shown promising potential for future miniaturized electromechanical coupling devices. Therefore, simulation of flexoelectricity is necessary and inevitable. In this paper, we provide an overview of numerical procedures on modeling flexoelectricity. Specifically, we summarize a generalized formulation including the electrostatic stress tensor, which can be simplified to retrieve other formulations from the literature. We further show the weak and discretization forms of the boundary value problem for different numerical methods, including isogeometric analysis and mixed FEM. Several benchmark problems are presented to demonstrate the numerical implementation. The source code for the implementation can be utilized to analyze and develop more complex flexoelectric nano-devices.

ASJC Scopus Sachgebiete

Ziele für nachhaltige Entwicklung

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Computational modeling of flexoelectricity-A review. / Zhuang, Xiaoying; Nguyen, Binh Huy; Nanthakumar, Subbiah Srivilliputtur et al.
in: Energies, Jahrgang 16, Nr. 3, 1326, 12.03.2020.

Publikation: Beitrag in FachzeitschriftÜbersichtsarbeitForschungPeer-Review

Zhuang, X, Nguyen, BH, Nanthakumar, SS, Tran, TQ, Alajlan, N & Rabczuk, T 2020, 'Computational modeling of flexoelectricity-A review', Energies, Jg. 16, Nr. 3, 1326. https://doi.org/10.3390/en13061326
Zhuang, X., Nguyen, B. H., Nanthakumar, S. S., Tran, T. Q., Alajlan, N., & Rabczuk, T. (2020). Computational modeling of flexoelectricity-A review. Energies, 16(3), Artikel 1326. https://doi.org/10.3390/en13061326
Zhuang X, Nguyen BH, Nanthakumar SS, Tran TQ, Alajlan N, Rabczuk T. Computational modeling of flexoelectricity-A review. Energies. 2020 Mär 12;16(3):1326. doi: 10.3390/en13061326
Zhuang, Xiaoying ; Nguyen, Binh Huy ; Nanthakumar, Subbiah Srivilliputtur et al. / Computational modeling of flexoelectricity-A review. in: Energies. 2020 ; Jahrgang 16, Nr. 3.
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T1 - Computational modeling of flexoelectricity-A review

AU - Zhuang, Xiaoying

AU - Nguyen, Binh Huy

AU - Nanthakumar, Subbiah Srivilliputtur

AU - Tran, Thai Quoc

AU - Alajlan, Naif

AU - Rabczuk, Timon

N1 - Funding information: Acknowledgments: The authors extend their appreciation to the Distinguished Scientist Fellowship Program (DSFP) at King Saud University for funding this work.

PY - 2020/3/12

Y1 - 2020/3/12

N2 - Electromechanical coupling devices have been playing an indispensable role in modern engineering. Particularly, flexoelectricity, an electromechanical coupling effect that involves strain gradients, has shown promising potential for future miniaturized electromechanical coupling devices. Therefore, simulation of flexoelectricity is necessary and inevitable. In this paper, we provide an overview of numerical procedures on modeling flexoelectricity. Specifically, we summarize a generalized formulation including the electrostatic stress tensor, which can be simplified to retrieve other formulations from the literature. We further show the weak and discretization forms of the boundary value problem for different numerical methods, including isogeometric analysis and mixed FEM. Several benchmark problems are presented to demonstrate the numerical implementation. The source code for the implementation can be utilized to analyze and develop more complex flexoelectric nano-devices.

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KW - Modeling

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