Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-14 |
| Number of pages | 14 |
| Journal | Computers and Structures |
| Volume | 214 |
| Publication status | Published - 28 Dec 2018 |
| Externally published | Yes |
Abstract
In this paper, we present a new approach to identify all material parameters of flexoelectric materials based on electrical impedance curves. This approach combines an Isogeometric Analysis (IGA) formulation with a gradient-based optimization algorithm using the Method of Moving Asymptotes (MMA). The IGA formulation allows for efficient modeling of flexoelectricity taking advantage of the higher order continuity of IGA. The proposed methodology starts with determining preliminary real parts based on resonant modes in order to avoid local minima which gives the numerical impedance curves close to the experimental impedance curve. The results in the preliminary step are used as initial parameters of the refinement step to simultaneously determine both real and imaginary part by minimizing the difference between pseudo-experimental and numerical impedance curve. Some numerical examples are illustrated to show the good agreement between the numerical and pseudo-experimental impedance curves.
Keywords
- Complex parameters, Flexoelectric material, Isogeometric analysis, Piezoelectric material
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 214, 28.12.2018, p. 1-14.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An isogeometric analysis to identify the full flexoelectric complex material properties based on electrical impedance curve
AU - Do, Hien V.
AU - Lahmer, T.
AU - Zhuang, Xiaoying
AU - Alajlan, Naif
AU - Nguyen-Xuan, Hung
AU - Rabczuk, Timon
N1 - Funding information: The authors extend their appreciation to the Distinguished Scientist Fellowship Program (DSFP) at King Saud University for funding this work and Prof. Svanberg for his original MMA code in this work.
PY - 2018/12/28
Y1 - 2018/12/28
N2 - In this paper, we present a new approach to identify all material parameters of flexoelectric materials based on electrical impedance curves. This approach combines an Isogeometric Analysis (IGA) formulation with a gradient-based optimization algorithm using the Method of Moving Asymptotes (MMA). The IGA formulation allows for efficient modeling of flexoelectricity taking advantage of the higher order continuity of IGA. The proposed methodology starts with determining preliminary real parts based on resonant modes in order to avoid local minima which gives the numerical impedance curves close to the experimental impedance curve. The results in the preliminary step are used as initial parameters of the refinement step to simultaneously determine both real and imaginary part by minimizing the difference between pseudo-experimental and numerical impedance curve. Some numerical examples are illustrated to show the good agreement between the numerical and pseudo-experimental impedance curves.
AB - In this paper, we present a new approach to identify all material parameters of flexoelectric materials based on electrical impedance curves. This approach combines an Isogeometric Analysis (IGA) formulation with a gradient-based optimization algorithm using the Method of Moving Asymptotes (MMA). The IGA formulation allows for efficient modeling of flexoelectricity taking advantage of the higher order continuity of IGA. The proposed methodology starts with determining preliminary real parts based on resonant modes in order to avoid local minima which gives the numerical impedance curves close to the experimental impedance curve. The results in the preliminary step are used as initial parameters of the refinement step to simultaneously determine both real and imaginary part by minimizing the difference between pseudo-experimental and numerical impedance curve. Some numerical examples are illustrated to show the good agreement between the numerical and pseudo-experimental impedance curves.
KW - Complex parameters
KW - Flexoelectric material
KW - Isogeometric analysis
KW - Piezoelectric material
UR - http://www.scopus.com/inward/record.url?scp=85059204371&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2018.10.019
DO - 10.1016/j.compstruc.2018.10.019
M3 - Article
AN - SCOPUS:85059204371
VL - 214
SP - 1
EP - 14
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
ER -