Topology optimization of flexoelectric structures

S. S. Nanthakumar, Xiaoying Zhuang, Harold S. Park, Timon Rabczuk

Research output: Contribution to journalArticle

43 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)217-234
Number of pages18
JournalJournal of the Mechanics and Physics of Solids
Volume105
DOIs
Publication statusPublished - 2017 Aug 1
Externally publishedYes

Fingerprint

Shape optimization
energy conversion
Energy conversion
energy conversion efficiency
topology
optimization
piezoelectricity
Piezoelectricity
Conversion efficiency
augmentation
barium
Barium titanate
Electromechanical coupling
formulations
Nanostructures

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Topology optimization of flexoelectric structures. / Nanthakumar, S. S.; Zhuang, Xiaoying; Park, Harold S.; Rabczuk, Timon.

In: Journal of the Mechanics and Physics of Solids, Vol. 105, 01.08.2017, p. 217-234.

Research output: Contribution to journalArticle

Nanthakumar, S. S. ; Zhuang, Xiaoying ; Park, Harold S. ; Rabczuk, Timon. / Topology optimization of flexoelectric structures. In: Journal of the Mechanics and Physics of Solids. 2017 ; Vol. 105. pp. 217-234.
@article{3aa8f0c0b7e2405dbd0ff2df6869accc,
title = "Topology optimization of flexoelectric structures",
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.",
author = "Nanthakumar, {S. S.} and Xiaoying Zhuang and Park, {Harold S.} and Timon Rabczuk",
year = "2017",
month = "8",
day = "1",
doi = "10.1016/j.jmps.2017.05.010",
language = "English",
volume = "105",
pages = "217--234",
journal = "Journal of the Mechanics and Physics of Solids",
issn = "0022-5096",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Topology optimization of flexoelectric structures

AU - Nanthakumar, S. S.

AU - Zhuang, Xiaoying

AU - Park, Harold S.

AU - Rabczuk, Timon

PY - 2017/8/1

Y1 - 2017/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85019639891&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019639891&partnerID=8YFLogxK

U2 - 10.1016/j.jmps.2017.05.010

DO - 10.1016/j.jmps.2017.05.010

M3 - Article

AN - SCOPUS:85019639891

VL - 105

SP - 217

EP - 234

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

ER -