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, T. Rabczuk

Research output: Contribution to journalArticlepeer-review

27 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
Pages (from-to)1-14
Number of pages14
JournalComputers and Structures
Volume214
DOIs
Publication statusPublished - 2019 Apr 1

Bibliographical note

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.

Publisher Copyright:
© 2018 Elsevier Ltd

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

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