Details
| Original language | English |
|---|---|
| Journal | International Journal for Numerical Methods in Engineering |
| Early online date | 6 Oct 2024 |
| Publication status | E-pub ahead of print - 6 Oct 2024 |
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
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, 06.10.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Second-order computational homogenization of flexoelectric composites
AU - Zhuang, Xiaoying
AU - Li, Bin
AU - Nanthakumar, S. S.
AU - Böhlke, Thomas
N1 - Publisher Copyright: © 2024 The Author(s). International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.
PY - 2024/10/6
Y1 - 2024/10/6
N2 - 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.
AB - 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.
KW - flexoelectricity
KW - multiscale methods
KW - second-order homogenization
KW - size-dependent effects
UR - http://www.scopus.com/inward/record.url?scp=85205931470&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2312.05556
DO - 10.48550/arXiv.2312.05556
M3 - Article
AN - SCOPUS:85205931470
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
ER -