Computational modeling of flexoelectricity—A review

X Zhuang, BH Nguyen, SS Nanthakumar, TQ Tran… - Energies, 2020 - mdpi.com
Electromechanical coupling devices have been playing an indispensable role in modern
engineering. Particularly, flexoelectricity, an electromechanical coupling effect that involves …

Elastic wave harvesting in piezoelectric-defect-introduced phononic crystal microplates

Z He, G Zhang, X Chen, Y Cong, S Gu… - International Journal of …, 2023 - Elsevier
The localization of elastic wave at defect in phononic crystals (PnCs) has been applied to
design piezoelectric energy harvesting (PEH) devices. However, the earlier researches …

A novel deep learning based method for the computational material design of flexoelectric nanostructures with topology optimization

KM Hamdia, H Ghasemi, Y Bazi, H AlHichri… - Finite Elements in …, 2019 - Elsevier
We present a deep learning method to investigate the effect of flexoelectricity in
nanostructures. For this purpose, deep neural network (DNN) algorithm is employed to map …

A three-dimensional collocation finite element method for higher-order electromechanical coupling

K Tannhäuser, PH Serrao, S Kozinov - Computers & Structures, 2024 - Elsevier
Flexoelectricity is a fundamental property found in all nano/micro-scale dielectric materials,
even those with centrosymmetry. It describes coupling between electric field and nonuniform …

[HTML][HTML] A collocation mixed finite element method for the analysis of flexoelectric solids

X Tian, J Sladek, V Sladek, Q Deng, Q Li - International Journal of Solids …, 2021 - Elsevier
A collocation mixed finite element method (MFEM) for direct and converse flexoelectricity in
piezoelectric materials is developed for 2D problems. The size-effect phenomenon in …

Modeling flexoelectricity in soft dielectrics at finite deformation

D Codony, P Gupta, O Marco, I Arias - … of the Mechanics and Physics of …, 2021 - Elsevier
This paper develops the equilibrium equations describing the flexoelectric effect in soft
dielectrics under large deformations. Previous works have developed related theories using …

A mixed finite element method for large deformation of flexoelectric materials

F Deng, W Yu, X Liang, S Shen - Applied Mathematical Modelling, 2023 - Elsevier
Flexoelectricity is a universal and size-dependent electromechanical phenomenon coupling
the electric field with strain gradient in dielectric materials. we establishe a mixed variational …

Modeling the flexoelectric effect around the tip of nano-cracks using a collocation MFEM

X Tian, M Xu, H Zhou, Q Deng, J Sladek… - Engineering Fracture …, 2023 - Elsevier
Due to the stress concentration and large strain gradient around the crack tip, strong
flexoelectric effect would be produced there. Meanwhile, the flexoelectric effect could …

An immersed boundary hierarchical B-spline method for flexoelectricity

D Codony, O Marco, S Fernández-Méndez… - Computer Methods in …, 2019 - Elsevier
This paper develops a computational framework with unfitted meshes to solve linear
piezoelectricity and flexoelectricity electromechanical boundary value problems including …

Mathematical and computational modeling of flexoelectricity

D Codony, A Mocci, J Barceló-Mercader… - Journal of Applied …, 2021 - pubs.aip.org
We first revisit the mathematical modeling of the flexoelectric effect in the context of
continuum mechanics at infinitesimal deformations. We establish and clarify the relation …