Second-order computational homogenization of flexoelectric composites
Abstract
Flexoelectricity shows promising applications for self-powered devices with its increased power density. This paper presents a second-order computational homogenization strategy for flexoelectric composite. The macro-micro scale transition, Hill–Mandel energy condition, periodic boundary conditions, and macroscopic constitutive tangents for the two-scale electromechanical coupling are investigated and considered in the homogenization formulation. The macrostructure and microstructure are discretized using (Formula presented.) triangular finite elements. The second-order multiscale solution scheme is implemented using ABAQUS with user subroutines. Finally, we present numerical examples including parametric analysis of a square plate with holes and the design of piezoelectric materials made of non-piezoelectric materials to demonstrate the numerical implementation and the size-dependent effects of flexoelectricity.
Details
- Organisationseinheit(en)
-
Institut für Photonik
- Externe Organisation(en)
-
Tongji University
Karlsruher Institut für Technologie (KIT)
- Typ
- Artikel
- Journal
- International Journal for Numerical Methods in Engineering
- Band
- 126
- ISSN
- 0029-5981
- Publikationsdatum
- 03.01.2025
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mathematik, Allgemeiner Maschinenbau, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.2312.05556 (Zugang:
Offen
)
https://doi.org/10.1002/nme.7598 (Zugang: Offen )
- Scopus-Zitationen
- 1
- Field-Weighted Citation Impact (FWCI)
- 3.51
- Zuletzt geändert
- 01.03.2026 22:11
