Topology optimization of piezoelectric nanostructures

authored by: Srivilliputtur Subbiah Nanthakumar, Tom Lahmer, Xiaoying Zhuang, Harold S. Park, Timon Rabczuk
Abstract: We present an extended finite element formulation for piezoelectric nanobeams and nanoplates that is coupled with topology optimization to study the energy harvesting potential of piezoelectric nanostructures. The finite element model for the nanoplates is based on the Kirchoff plate model, with a linear through the thickness distribution of electric potential. Based on the topology optimization, the largest enhancements in energy harvesting are found for closed circuit boundary conditions, though significant gains are also found for open circuit boundary conditions. Most interestingly, our results demonstrate the competition between surface elasticity, which reduces the energy conversion efficiency, and surface piezoelectricity, which enhances the energy conversion efficiency, in governing the energy harvesting potential of piezoelectric nanostructures.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Bauhaus-Universität Weimar
Tongji University
Boston University (BU)
Ton Duc Thang University
Korea University
Type: Article
Journal: Journal of the Mechanics and Physics of Solids
Volume: 94
Pages: 316-335
No. of pages: 20
ISSN: 0022-5096
Publication date: 12.05.2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Condensed Matter Physics, Mechanics of Materials, Mechanical Engineering
Electronic version(s): https://doi.org/10.1016/j.jmps.2016.03.027 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{6118e5c624f5485b823bc67aa208f1a2,
title = "Topology optimization of piezoelectric nanostructures",
abstract = "We present an extended finite element formulation for piezoelectric nanobeams and nanoplates that is coupled with topology optimization to study the energy harvesting potential of piezoelectric nanostructures. The finite element model for the nanoplates is based on the Kirchoff plate model, with a linear through the thickness distribution of electric potential. Based on the topology optimization, the largest enhancements in energy harvesting are found for closed circuit boundary conditions, though significant gains are also found for open circuit boundary conditions. Most interestingly, our results demonstrate the competition between surface elasticity, which reduces the energy conversion efficiency, and surface piezoelectricity, which enhances the energy conversion efficiency, in governing the energy harvesting potential of piezoelectric nanostructures.",
keywords = "Surface elasticity, Surface piezoelectricity, Topology optimization, ZnO nanostructures",
author = "Nanthakumar, {Srivilliputtur Subbiah} and Tom Lahmer and Xiaoying Zhuang and Park, {Harold S.} and Timon Rabczuk",
year = "2016",
month = may,
day = "12",
doi = "10.1016/j.jmps.2016.03.027",
language = "English",
volume = "94",
pages = "316--335",
journal = "Journal of the Mechanics and Physics of Solids",
issn = "0022-5096",
publisher = "Elsevier Ltd.",
}