Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 118031 |
| Fachzeitschrift | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang | 442 |
| Frühes Online-Datum | 5 Mai 2025 |
| Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 5 Mai 2025 |
Abstract
Flexoelectricity is an electromechanical coupling phenomenon in which electric polarization is generated in response to strain gradients. This effect is size-dependent and becomes increasingly significant at micro- and nanoscale dimensions. While heterogeneous flexoelectric materials demonstrate enhanced electromechanical properties, their effective application in nanotechnology requires robust homogenization methods. In this study, we propose a novel second-order computational homogenization framework for flexoelectricity, which combines isogeometric analysis and the finite cell method. Key innovations include the introduction of high-order periodic boundary conditions and homogenized high-order stresses, which ensure consistent multiscale analysis. Periodic boundary conditions are applied using penalty methods, and perturbation analysis is employed to efficiently compute equivalent material coefficients. The effectiveness of the proposed method is validated through numerical examples, demonstrating its ability to generate piezoelectric effects in flexoelectric microstructured materials.
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- Ingenieurwesen (insg.)
- Numerische Mechanik
- Ingenieurwesen (insg.)
- Werkstoffmechanik
- Ingenieurwesen (insg.)
- Maschinenbau
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 442, 118031, 01.07.2025.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Second-order computational homogenization of flexoelectric composites with isogeometric analysis
AU - Li, Bin
AU - Zhang, Ranran
AU - Żur, Krzysztof Kamil
AU - Rabczuk, Timon
AU - Zhuang, Xiaoying
N1 - Publisher Copyright: © 2025
PY - 2025/5/5
Y1 - 2025/5/5
N2 - Flexoelectricity is an electromechanical coupling phenomenon in which electric polarization is generated in response to strain gradients. This effect is size-dependent and becomes increasingly significant at micro- and nanoscale dimensions. While heterogeneous flexoelectric materials demonstrate enhanced electromechanical properties, their effective application in nanotechnology requires robust homogenization methods. In this study, we propose a novel second-order computational homogenization framework for flexoelectricity, which combines isogeometric analysis and the finite cell method. Key innovations include the introduction of high-order periodic boundary conditions and homogenized high-order stresses, which ensure consistent multiscale analysis. Periodic boundary conditions are applied using penalty methods, and perturbation analysis is employed to efficiently compute equivalent material coefficients. The effectiveness of the proposed method is validated through numerical examples, demonstrating its ability to generate piezoelectric effects in flexoelectric microstructured materials.
AB - Flexoelectricity is an electromechanical coupling phenomenon in which electric polarization is generated in response to strain gradients. This effect is size-dependent and becomes increasingly significant at micro- and nanoscale dimensions. While heterogeneous flexoelectric materials demonstrate enhanced electromechanical properties, their effective application in nanotechnology requires robust homogenization methods. In this study, we propose a novel second-order computational homogenization framework for flexoelectricity, which combines isogeometric analysis and the finite cell method. Key innovations include the introduction of high-order periodic boundary conditions and homogenized high-order stresses, which ensure consistent multiscale analysis. Periodic boundary conditions are applied using penalty methods, and perturbation analysis is employed to efficiently compute equivalent material coefficients. The effectiveness of the proposed method is validated through numerical examples, demonstrating its ability to generate piezoelectric effects in flexoelectric microstructured materials.
KW - Finite cell method
KW - Flexoelectricity
KW - Isogeometric analysis
KW - Perturbation analysis
KW - Second-order homogenization
UR - http://www.scopus.com/inward/record.url?scp=105003998089&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2025.118031
DO - 10.1016/j.cma.2025.118031
M3 - Article
AN - SCOPUS:105003998089
VL - 442
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 118031
ER -