LAPSE:2023.22099
Published Article
LAPSE:2023.22099
Computational Modeling of Flexoelectricity—A Review
Xiaoying Zhuang, Binh Huy Nguyen, Subbiah Srivilliputtur Nanthakumar, Thai Quoc Tran, Naif Alajlan, Timon Rabczuk
March 23, 2023
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, Modelling, Numerical Methods
Suggested Citation
Zhuang X, Nguyen BH, Nanthakumar SS, Tran TQ, Alajlan N, Rabczuk T. Computational Modeling of Flexoelectricity—A Review. (2023). LAPSE:2023.22099
Author Affiliations
Zhuang X: Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam; Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam [ORCID]
Nguyen BH: Institute for Continuum Mechanics, Leibniz Universität Hannover, Appelstr. 11, 30167 Hannover, Germany
Nanthakumar SS: Institute for Continuum Mechanics, Leibniz Universität Hannover, Appelstr. 11, 30167 Hannover, Germany
Tran TQ: Institute for Continuum Mechanics, Leibniz Universität Hannover, Appelstr. 11, 30167 Hannover, Germany
Alajlan N: Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi Arabia
Rabczuk T: Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi Arabia
Journal Name
Energies
Volume
13
Issue
6
Article Number
E1326
Year
2020
Publication Date
2020-03-12
Published Version
ISSN
1996-1073
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PII: en13061326, Publication Type: Review
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LAPSE:2023.22099
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doi:10.3390/en13061326
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Mar 23, 2023
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