A Computational Framework for Design and Optimization of Flexoelectric Materials

Hamid Ghasemi, Harold S. Park, Naif Alajlan, Timon Rabczuk

Research output: Contribution to journalArticle


We combine isogeometric analysis (IGA), level set (LS) and pointwise density-mapping techniques for design and topology optimization of piezoelectric/flexoelectric materials. We use B-spline elements to discretize the fourth-order partial differential equations of flexoelectricity, which require at least (Formula presented.) continuous approximations. We adopt the multiphase vector LS model which easily copes with various numbers of material phases and multiple constraints. In case studies, we first confirm the accuracy of the IGA model and then provide numerical examples for both pure and composite flexoelectric structures. The results demonstrate the significant enhancement in electromechanical coupling coefficient that can be obtained using topology optimization and particularly by multi-material topology optimization for flexoelectric composites.

Original languageEnglish
JournalInternational Journal of Computational Methods
Publication statusAccepted/In press - 2018 Mar 15
Externally publishedYes



  • composite
  • Flexoelectricity
  • isogeometric analysis
  • level set
  • topology optimization

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

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