Second-order computational homogenization of flexoelectric composites

verfasst von: Xiaoying Zhuang, Bin Li, S. S. Nanthakumar, Thomas Böhlke
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.
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)

BibTeX

@article{d74bde608ad3401987a86da74ccb6c27,
title = "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.",
keywords = "flexoelectricity, multiscale methods, second-order homogenization, size-dependent effects",
author = "Xiaoying Zhuang and Bin Li and Nanthakumar, {S. S.} and Thomas B{\"o}hlke",
note = "Publisher Copyright: {\textcopyright} 2024 The Author(s). International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.",
year = "2025",
month = jan,
day = "3",
doi = "10.48550/arXiv.2312.05556",
language = "English",
volume = "126",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "1",
}