Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials

authored by: Hai D. Huynh, Xiaoying Zhuang, Harold S. Park, S. S. Nanthakumar, Yabin Jin, Timon Rabczuk
Abstract: The coupling of momentum to strain in elastic metamaterials, known as the Willis coupling, has been widely studied in recent years for its potential in enabling novel phenomena in wave propagation. More recent work has shown that in piezoelectric composites, the momentum can also be coupled to the electrical stimulus, resulting in a new form of electro-momentum coupling, which offers a new approach to controlling elastic wave phenomena through a non-mechanical stimulus. In this study, we present a topology optimization approach to maximize the electro-momentum coupling in piezoelectric composites, where dynamic homogenization is utilized to obtain the effective mechanical, electrical, and electro-mechanical constitutive relations. We first validate the approach in one-dimension, then demonstrate that the electro-momentum coupling can enable asymmetric wave propagation in two-dimensions, both through mechanical and electrical loadings. This approach can enable the design of piezoelectric composites that support novel wave phenomena that can be excited through non-mechanical means.
Organisation(s): Institute of Photonics
Faculty of Mathematics and Physics
External Organisation(s): Tongji University
Boston University (BU)
Bauhaus-Universität Weimar
Type: Article
Journal: Extreme Mechanics Letters
Volume: 61
Publication date: 06.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Bioengineering, Chemical Engineering (miscellaneous), Engineering (miscellaneous), Mechanics of Materials, Mechanical Engineering
Electronic version(s): https://doi.org/10.1016/j.eml.2023.101981 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{eebc2af4752c4c438b7f34d3daa90065,
title = "Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials",
abstract = "The coupling of momentum to strain in elastic metamaterials, known as the Willis coupling, has been widely studied in recent years for its potential in enabling novel phenomena in wave propagation. More recent work has shown that in piezoelectric composites, the momentum can also be coupled to the electrical stimulus, resulting in a new form of electro-momentum coupling, which offers a new approach to controlling elastic wave phenomena through a non-mechanical stimulus. In this study, we present a topology optimization approach to maximize the electro-momentum coupling in piezoelectric composites, where dynamic homogenization is utilized to obtain the effective mechanical, electrical, and electro-mechanical constitutive relations. We first validate the approach in one-dimension, then demonstrate that the electro-momentum coupling can enable asymmetric wave propagation in two-dimensions, both through mechanical and electrical loadings. This approach can enable the design of piezoelectric composites that support novel wave phenomena that can be excited through non-mechanical means.",
keywords = "Asymmetric wave propagation, Dynamic homogenization, Elastodynamics, Topology optimization, Willis materials",
author = "Huynh, {Hai D.} and Xiaoying Zhuang and Park, {Harold S.} and Nanthakumar, {S. S.} and Yabin Jin and Timon Rabczuk",
note = "Funding Information: The authors gratefully acknowledge the sponsorship from NSFC, China ( 52278411 ) and the Science and Technology Commission of Shanghai Municipality, China ( 22JC1404100 ). Authors also acknowledge the support of the HLRN project and cluster system team at the Leibniz Universit{\"a}t of Hannover, Germany . ",
year = "2023",
month = jun,
doi = "10.1016/j.eml.2023.101981",
language = "English",
volume = "61",
journal = "Extreme Mechanics Letters",
issn = "2352-4316",
publisher = "Elsevier Ltd.",
}

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