Computational modeling of flexoelectricity-A review

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

doi:10.3390/en13061326

Details

Original language	English
Article number	1326
Number of pages	29
Journal	Energies
Volume	16
Issue number	3
Publication status	Published - 12 Mar 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.

Keywords

Flexoelectricity, Modeling, Numerical methods

ASJC Scopus subject areas

Energy(all)
Renewable Energy, Sustainability and the Environment
Energy(all)
Energy Engineering and Power Technology
Energy(all)
Energy (miscellaneous)
Mathematics(all)
Control and Optimization
Engineering(all)
Electrical and Electronic Engineering

Sustainable Development Goals

SDG 7 - Affordable and Clean Energy

Cite this

Computational modeling of flexoelectricity-A review. / Zhuang, Xiaoying; Nguyen, Binh Huy; Nanthakumar, Subbiah Srivilliputtur et al.
In: Energies, Vol. 16, No. 3, 1326, 12.03.2020.

Research output: Contribution to journal › Review article › Research › peer review

Zhuang, X, Nguyen, BH, Nanthakumar, SS, Tran, TQ, Alajlan, N & Rabczuk, T 2020, 'Computational modeling of flexoelectricity-A review', Energies, vol. 16, no. 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), Article 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 Mar 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 ; Vol. 16, No. 3.

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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.",

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AU - Nguyen, Binh Huy

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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.

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Research@Leibniz University