An isogeometric analysis to identify the full flexoelectric complex material properties based on electrical impedance curve

Hien V. Do, T. Lahmer, X. Zhuang, N. Alajlan, H. Nguyen-Xuan, Timon Rabczuk

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
JournalComputers and Structures
DOIs
Publication statusAccepted/In press - 2018 Jan 1

Fingerprint

Isogeometric Analysis
Acoustic impedance
Material Properties
Impedance
Materials properties
Curve
Order Continuity
Asymptote
Formulation
Local Minima
Optimization Algorithm
Refinement
Higher Order
Gradient
Numerical Examples
Methodology
Modeling

Keywords

  • Complex parameters
  • Flexoelectric material
  • Isogeometric analysis
  • Piezoelectric material

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

An isogeometric analysis to identify the full flexoelectric complex material properties based on electrical impedance curve. / Do, Hien V.; Lahmer, T.; Zhuang, X.; Alajlan, N.; Nguyen-Xuan, H.; Rabczuk, Timon.

In: Computers and Structures, 01.01.2018.

Research output: Contribution to journalArticle

Do, Hien V. ; Lahmer, T. ; Zhuang, X. ; Alajlan, N. ; Nguyen-Xuan, H. ; Rabczuk, Timon. / An isogeometric analysis to identify the full flexoelectric complex material properties based on electrical impedance curve. In: Computers and Structures. 2018.
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