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 …

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 …

[HTML][HTML] Modelling and numerical simulation of remodelling processes in cortical bone: An IGA approach to flexoelectricity-induced osteocyte apoptosis and …

C Witt, T Kaiser, A Menzel - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
Remodelling is an important process in bones in order to maintain bone mass and to
recover cracks which naturally develop within the bone material. There is agreement in the …

Second-order collocation-based mixed FEM for flexoelectric solids

K Tannhäuser, PH Serrao, S Kozinov - Solids, 2023 - mdpi.com
Flexoelectricity is an electromechanical coupling between the electric field and the
mechanical strain gradient, as well as between the mechanical strains and the electric field …

[HTML][HTML] Computational homogenization of higher-order electro-mechanical materials with built-in generalized periodicity conditions

J Barceló-Mercader, D Codony, A Mocci… - Computer Methods in …, 2024 - Elsevier
We present a formulation for high-order generalized periodicity conditions in the context of a
high-order electromechanical theory including flexoelectricity, strain gradient elasticity and …

[HTML][HTML] Topology optimization of flexoelectric metamaterials with apparent piezoelectricity

F Greco, D Codony, H Mohammadi… - Journal of the …, 2024 - Elsevier
The flexoelectric effect, coupling polarization and strain gradient as well as strain and
electric field gradients, is universal to dielectrics, but, as compared to piezoelectricity, it is …

Weak enforcement of interface continuity and generalized periodicity in high‐order electromechanical problems

J Barceló‐Mercader, D Codony… - International Journal …, 2022 - Wiley Online Library
We present a formulation for the weak enforcement of continuity conditions at material
interfaces in high‐order problems by means of Nitsche's method, which is particularly suited …

Phase field study of the thermo-electro-mechanical fracture behavior of flexoelectric solids

B Zhang, J Luo, Z Fang, H Huang - Theoretical and Applied Fracture …, 2023 - Elsevier
Piezoelectrics working in a temperature varying environment are prone to thermo-electro-
mechanical fracture due to their brittle nature. In the meantime, flexoelectricity can greatly …

[HTML][HTML] An efficient mixed finite element formulation for 3D strain gradient elasticity

J Riesselmann, N Rezaei, L Placidi… - Computer Methods in …, 2024 - Elsevier
Mixed finite element formulations enable the use of simple C 0 continuous interpolation
functions and standard finite element meshes for the numerical solution of (nonlocal) …

[HTML][HTML] An IGA-FEA model for flexoelectricity-induced healing of microcracks in cortical bone

C Witt, T Kaiser, A Menzel - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The remodelling process in bones is closely related to electromechanical phenomena. In
addition to streaming potentials and piezoelectricity, flexoelectricity has been found to serve …