Details
Original language | English |
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Article number | 105149 |
Number of pages | 6 |
Journal | European Journal of Mechanics, A/Solids |
Volume | 103 |
Early online date | 4 Oct 2023 |
Publication status | Published - Jan 2024 |
Abstract
In this paper, a computational homogenization approach is developed to investigate the effective material properties of flexoelectric nanocomposites. The analysis incorporates the isogeometric analysis (IGA) to solve an electromechanically coupled system using a 3D representative volume element (RVE) model with periodic boundary conditions. In particular, a micromechanical analysis is carried out to represent the microstructure of a heterogeneous domain composed of an elastic matrix and cylindrical flexoelectric fibers. The numerical simulations indicated that while the effective tensor of piezoelectricity is isotropic, the flexoelectricity tensor is transversely anisotropic concerning the geometry of the composite's phases. Furthermore, the flexoelectricity coefficients, μ¯3113 and μ¯3333, which couple the polarization to the strain gradients with respect to the longitudinal axis, improved remarkably with increasing the inclusion's volume fraction. The presented computational methodology and the findings of this study is expected to contribute valuably towards the design of flexoelectric nanostructures and devices.
Keywords
- Computational homogenization, Electromechanical coupling, Flexoelectricity, Isogeometric analysis, Micromechanics
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: European Journal of Mechanics, A/Solids, Vol. 103, 105149, 01.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A representative volume element model to evaluate the effective properties of flexoelectric nanocomposite
AU - Hamdia, Khader M.
N1 - Funding Information: The author thanks the support by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)- Projektnummer 492535144 .
PY - 2024/1
Y1 - 2024/1
N2 - In this paper, a computational homogenization approach is developed to investigate the effective material properties of flexoelectric nanocomposites. The analysis incorporates the isogeometric analysis (IGA) to solve an electromechanically coupled system using a 3D representative volume element (RVE) model with periodic boundary conditions. In particular, a micromechanical analysis is carried out to represent the microstructure of a heterogeneous domain composed of an elastic matrix and cylindrical flexoelectric fibers. The numerical simulations indicated that while the effective tensor of piezoelectricity is isotropic, the flexoelectricity tensor is transversely anisotropic concerning the geometry of the composite's phases. Furthermore, the flexoelectricity coefficients, μ¯3113 and μ¯3333, which couple the polarization to the strain gradients with respect to the longitudinal axis, improved remarkably with increasing the inclusion's volume fraction. The presented computational methodology and the findings of this study is expected to contribute valuably towards the design of flexoelectric nanostructures and devices.
AB - In this paper, a computational homogenization approach is developed to investigate the effective material properties of flexoelectric nanocomposites. The analysis incorporates the isogeometric analysis (IGA) to solve an electromechanically coupled system using a 3D representative volume element (RVE) model with periodic boundary conditions. In particular, a micromechanical analysis is carried out to represent the microstructure of a heterogeneous domain composed of an elastic matrix and cylindrical flexoelectric fibers. The numerical simulations indicated that while the effective tensor of piezoelectricity is isotropic, the flexoelectricity tensor is transversely anisotropic concerning the geometry of the composite's phases. Furthermore, the flexoelectricity coefficients, μ¯3113 and μ¯3333, which couple the polarization to the strain gradients with respect to the longitudinal axis, improved remarkably with increasing the inclusion's volume fraction. The presented computational methodology and the findings of this study is expected to contribute valuably towards the design of flexoelectric nanostructures and devices.
KW - Computational homogenization
KW - Electromechanical coupling
KW - Flexoelectricity
KW - Isogeometric analysis
KW - Micromechanics
UR - http://www.scopus.com/inward/record.url?scp=85173222483&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2023.105149
DO - 10.1016/j.euromechsol.2023.105149
M3 - Article
AN - SCOPUS:85173222483
VL - 103
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 105149
ER -