Topology optimization of flexoelectric structures

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Srivilliputtur Subbiah Nanthakumar
  • Xiaoying Zhuang
  • Harold S. Park
  • Timon Rabczuk

Research Organisations

External Research Organisations

  • Tongji University
  • Boston University (BU)
  • Duy Tan University
  • Bauhaus-Universität Weimar
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Details

Original languageEnglish
Pages (from-to)217-234
Number of pages18
JournalJournal of the Mechanics and Physics of Solids
Volume105
Publication statusPublished - 17 May 2017

Abstract

We present a mixed finite element formulation for flexoelectric nanostructures that is coupled with topology optimization to maximize their intrinsic material performance with regards to their energy conversion potential. Using Barium Titanate (BTO) as the model flexoelectric material, we demonstrate the significant enhancement in energy conversion that can be obtained using topology optimization. We also demonstrate that non-smooth surfaces can play a key role in the energy conversion enhancements obtained through topology optimization. Finally, we examine the relative benefits of flexoelectricity, and surface piezoelectricity on the energy conversion efficiency of nanobeams. We find that the energy conversion efficiency of flexoelectric nanobeams is comparable to the energy conversion efficiency obtained from nanobeams whose electromechanical coupling occurs through surface piezoelectricity, but are ten times thinner. Overall, our results not only demonstrate the utility and efficiency of flexoelectricity as a nanoscale energy conversion mechanism, but also its relative superiority as compared to piezoelectric or surface piezoelectric effects.

ASJC Scopus subject areas

Cite this

Topology optimization of flexoelectric structures. / Nanthakumar, Srivilliputtur Subbiah; Zhuang, Xiaoying; Park, Harold S. et al.
In: Journal of the Mechanics and Physics of Solids, Vol. 105, 17.05.2017, p. 217-234.

Research output: Contribution to journalArticleResearchpeer review

Nanthakumar SS, Zhuang X, Park HS, Rabczuk T. Topology optimization of flexoelectric structures. Journal of the Mechanics and Physics of Solids. 2017 May 17;105:217-234. doi: 10.1016/j.jmps.2017.05.010
Nanthakumar, Srivilliputtur Subbiah ; Zhuang, Xiaoying ; Park, Harold S. et al. / Topology optimization of flexoelectric structures. In: Journal of the Mechanics and Physics of Solids. 2017 ; Vol. 105. pp. 217-234.
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abstract = "We present a mixed finite element formulation for flexoelectric nanostructures that is coupled with topology optimization to maximize their intrinsic material performance with regards to their energy conversion potential. Using Barium Titanate (BTO) as the model flexoelectric material, we demonstrate the significant enhancement in energy conversion that can be obtained using topology optimization. We also demonstrate that non-smooth surfaces can play a key role in the energy conversion enhancements obtained through topology optimization. Finally, we examine the relative benefits of flexoelectricity, and surface piezoelectricity on the energy conversion efficiency of nanobeams. We find that the energy conversion efficiency of flexoelectric nanobeams is comparable to the energy conversion efficiency obtained from nanobeams whose electromechanical coupling occurs through surface piezoelectricity, but are ten times thinner. Overall, our results not only demonstrate the utility and efficiency of flexoelectricity as a nanoscale energy conversion mechanism, but also its relative superiority as compared to piezoelectric or surface piezoelectric effects.",
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AU - Rabczuk, Timon

N1 - Funding information: Authors Xiaoying Zhuang and S.S.Nanthakumar thankfully acknowledge the funding from Sofja Kovalevskaja Award (X. Zhuang in 2015), State Key Laboratory of Structural Analysis for Industrial Equipment (GZ1607). Author Timon Rabczuk acknowledge the financial support by European Research Council for COMBAT project (Grant number 615132). Harold Park acknowledges the support of the Mechanical Engineering Department at Boston University.

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