Computational modeling of flexoelectricity—A review
Electromechanical coupling devices have been playing an indispensable role in modern
engineering. Particularly, flexoelectricity, an electromechanical coupling effect that involves …
engineering. Particularly, flexoelectricity, an electromechanical coupling effect that involves …
Elastic wave harvesting in piezoelectric-defect-introduced phononic crystal microplates
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 …
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
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 …
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
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 …
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
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 …
piezoelectric materials is developed for 2D problems. The size-effect phenomenon in …
Modeling flexoelectricity in soft dielectrics at finite deformation
This paper develops the equilibrium equations describing the flexoelectric effect in soft
dielectrics under large deformations. Previous works have developed related theories using …
dielectrics under large deformations. Previous works have developed related theories using …
A mixed finite element method for large deformation of flexoelectric materials
Flexoelectricity is a universal and size-dependent electromechanical phenomenon coupling
the electric field with strain gradient in dielectric materials. we establishe a mixed variational …
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 …
flexoelectric effect would be produced there. Meanwhile, the flexoelectric effect could …
An immersed boundary hierarchical B-spline method for flexoelectricity
This paper develops a computational framework with unfitted meshes to solve linear
piezoelectricity and flexoelectricity electromechanical boundary value problems including …
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 …
continuum mechanics at infinitesimal deformations. We establish and clarify the relation …