Details
| Original language | English |
|---|---|
| Article number | 118475 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 448 |
| Early online date | 17 Oct 2025 |
| Publication status | Published - 1 Jan 2026 |
Abstract
Flexoelectricity is a scale-dependent phenomenon that becomes increasingly significant at smaller scales. With the growing trend toward the miniaturization of electronic devices, this characteristic enables the tailoring of material properties through microscale design to meet specific application requirements. We propose an innovative isogeometric topology optimization framework based on perturbation analysis for the design of flexoelectric materials. The framework utilizes second-order computational homogenization to determine equivalent material parameters and performs direct sensitivity analysis. Inspired by the level set method, this density-based approach incorporates a heuristic density threshold scheme to achieve clear separation between material phases. The proposed framework provides a robust and computationally efficient platform for flexoelectric material design. Numerical simulations demonstrate enhanced flexoelectric effects and the generation of equivalent piezoelectric materials, highlighting the potential of this method for advancing microscale material engineering applications.
Keywords
- Flexoelectricity, Isogeometric analysis, Perturbation analysis, Second-order homogenization, Topology optimization
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 448, 118475, 01.01.2026.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isogeometric topology optimization of flexoelectric materials based on perturbation analysis
AU - Li, Bin
AU - Yue, Qiang
AU - Nanthakumar, S. S.
AU - Rabczuk, Timon
AU - Zhuang, Xiaoying
N1 - Publisher Copyright: © 2025 The Author(s)
PY - 2026/1/1
Y1 - 2026/1/1
N2 - Flexoelectricity is a scale-dependent phenomenon that becomes increasingly significant at smaller scales. With the growing trend toward the miniaturization of electronic devices, this characteristic enables the tailoring of material properties through microscale design to meet specific application requirements. We propose an innovative isogeometric topology optimization framework based on perturbation analysis for the design of flexoelectric materials. The framework utilizes second-order computational homogenization to determine equivalent material parameters and performs direct sensitivity analysis. Inspired by the level set method, this density-based approach incorporates a heuristic density threshold scheme to achieve clear separation between material phases. The proposed framework provides a robust and computationally efficient platform for flexoelectric material design. Numerical simulations demonstrate enhanced flexoelectric effects and the generation of equivalent piezoelectric materials, highlighting the potential of this method for advancing microscale material engineering applications.
AB - Flexoelectricity is a scale-dependent phenomenon that becomes increasingly significant at smaller scales. With the growing trend toward the miniaturization of electronic devices, this characteristic enables the tailoring of material properties through microscale design to meet specific application requirements. We propose an innovative isogeometric topology optimization framework based on perturbation analysis for the design of flexoelectric materials. The framework utilizes second-order computational homogenization to determine equivalent material parameters and performs direct sensitivity analysis. Inspired by the level set method, this density-based approach incorporates a heuristic density threshold scheme to achieve clear separation between material phases. The proposed framework provides a robust and computationally efficient platform for flexoelectric material design. Numerical simulations demonstrate enhanced flexoelectric effects and the generation of equivalent piezoelectric materials, highlighting the potential of this method for advancing microscale material engineering applications.
KW - Flexoelectricity
KW - Isogeometric analysis
KW - Perturbation analysis
KW - Second-order homogenization
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=105018665436&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2025.118475
DO - 10.1016/j.cma.2025.118475
M3 - Article
AN - SCOPUS:105018665436
VL - 448
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 118475
ER -