Flexoelectricity effects on smart piezoelectric nanoplates using an isogeometric analysis-based Chebyshev shear deformation theory
- Author
- P. T. Hung, H. Nguyen-Xuan, Magd Abdel Wahab (UGent) , Chien H. Thai and Phuc Phung Van (UGent)
- Organization
- Abstract
- This study conducts a comprehensive investigation into free vibration and static behaviors of smart piezoelectric nanoplates, incorporating electromechanical coupling phenomena, particularly the flexoelectric effect. The flexoelectric effect, which characterizes the interaction between electric polarization and strain gradient, is considered by capturing size-dependent properties at the nanoscale. To enhance modeling accuracy, the third-order Chebyshev shear deformation theory is employed, naturally fulfilling the zero-shear stress conditions on the top and bottom surfaces of the plate without requiring supplementary constraints. For the computation of nanoplate displacement and natural frequency, isogeometric analysis is utilized to discretize the problem domain, offering superior geometric representation and computational efficiency. The present study systematically investigates the effects of flexoelectricity boundary conditions and material properties on structural behaviors of smart piezoelectric nanoplates. Numerical results demonstrate that the flexoelectric effect significantly enhances the stiffness and natural frequency of piezoelectric nanoplates, particularly for thinner structures. As thickness increases, this influence diminishes and the results converge toward classical predictions. The findings provide valuable insights for the design of nanoscale piezoelectric and flexoelectric devices in smart structural applications.
- Keywords
- Piezoelectric nanoplates, Flexoelectric effect, Size-dependent analysis, Isogeometric analysis (IGA), Chebyshev shear deformation theory, VIBRATION, MODEL, RESPONSES, PLATES, BEAM
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01KANYRZB5GMQB80B5G1E9K2K4
- MLA
- Hung, P. T., et al. “Flexoelectricity Effects on Smart Piezoelectric Nanoplates Using an Isogeometric Analysis-Based Chebyshev Shear Deformation Theory.” COMPUTERS & STRUCTURES, vol. 320, 2026, doi:10.1016/j.compstruc.2025.108033.
- APA
- Hung, P. T., Nguyen-Xuan, H., Abdel Wahab, M., Thai, C. H., & Phung Van, P. (2026). Flexoelectricity effects on smart piezoelectric nanoplates using an isogeometric analysis-based Chebyshev shear deformation theory. COMPUTERS & STRUCTURES, 320. https://doi.org/10.1016/j.compstruc.2025.108033
- Chicago author-date
- Hung, P. T., H. Nguyen-Xuan, Magd Abdel Wahab, Chien H. Thai, and Phuc Phung Van. 2026. “Flexoelectricity Effects on Smart Piezoelectric Nanoplates Using an Isogeometric Analysis-Based Chebyshev Shear Deformation Theory.” COMPUTERS & STRUCTURES 320. https://doi.org/10.1016/j.compstruc.2025.108033.
- Chicago author-date (all authors)
- Hung, P. T., H. Nguyen-Xuan, Magd Abdel Wahab, Chien H. Thai, and Phuc Phung Van. 2026. “Flexoelectricity Effects on Smart Piezoelectric Nanoplates Using an Isogeometric Analysis-Based Chebyshev Shear Deformation Theory.” COMPUTERS & STRUCTURES 320. doi:10.1016/j.compstruc.2025.108033.
- Vancouver
- 1.Hung PT, Nguyen-Xuan H, Abdel Wahab M, Thai CH, Phung Van P. Flexoelectricity effects on smart piezoelectric nanoplates using an isogeometric analysis-based Chebyshev shear deformation theory. COMPUTERS & STRUCTURES. 2026;320.
- IEEE
- [1]P. T. Hung, H. Nguyen-Xuan, M. Abdel Wahab, C. H. Thai, and P. Phung Van, “Flexoelectricity effects on smart piezoelectric nanoplates using an isogeometric analysis-based Chebyshev shear deformation theory,” COMPUTERS & STRUCTURES, vol. 320, 2026.
@article{01KANYRZB5GMQB80B5G1E9K2K4,
abstract = {{This study conducts a comprehensive investigation into free vibration and static behaviors of smart piezoelectric nanoplates, incorporating electromechanical coupling phenomena, particularly the flexoelectric effect. The flexoelectric effect, which characterizes the interaction between electric polarization and strain gradient, is considered by capturing size-dependent properties at the nanoscale. To enhance modeling accuracy, the third-order Chebyshev shear deformation theory is employed, naturally fulfilling the zero-shear stress conditions on the top and bottom surfaces of the plate without requiring supplementary constraints. For the computation of nanoplate displacement and natural frequency, isogeometric analysis is utilized to discretize the problem domain, offering superior geometric representation and computational efficiency. The present study systematically investigates the effects of flexoelectricity boundary conditions and material properties on structural behaviors of smart piezoelectric nanoplates. Numerical results demonstrate that the flexoelectric effect significantly enhances the stiffness and natural frequency of piezoelectric nanoplates, particularly for thinner structures. As thickness increases, this influence diminishes and the results converge toward classical predictions. The findings provide valuable insights for the design of nanoscale piezoelectric and flexoelectric devices in smart structural applications.}},
articleno = {{108033}},
author = {{Hung, P. T. and Nguyen-Xuan, H. and Abdel Wahab, Magd and Thai, Chien H. and Phung Van, Phuc}},
issn = {{0045-7949}},
journal = {{COMPUTERS & STRUCTURES}},
keywords = {{Piezoelectric nanoplates,Flexoelectric effect,Size-dependent analysis,Isogeometric analysis (IGA),Chebyshev shear deformation theory,VIBRATION,MODEL,RESPONSES,PLATES,BEAM}},
language = {{eng}},
pages = {{11}},
title = {{Flexoelectricity effects on smart piezoelectric nanoplates using an isogeometric analysis-based Chebyshev shear deformation theory}},
url = {{http://doi.org/10.1016/j.compstruc.2025.108033}},
volume = {{320}},
year = {{2026}},
}
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