Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Hai D. Huynh
  • Xiaoying Zhuang
  • Harold S. Park
  • S. S. Nanthakumar
  • Yabin Jin
  • Timon Rabczuk

Research Organisations

External Research Organisations

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

Original languageEnglish
Article number101981
JournalExtreme Mechanics Letters
Volume61
Early online date24 Feb 2023
Publication statusPublished - Jun 2023

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

ASJC Scopus subject areas

Cite this

Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials. / Huynh, Hai D.; Zhuang, Xiaoying; Park, Harold S. et al.
In: Extreme Mechanics Letters, Vol. 61, 101981, 06.2023.

Research output: Contribution to journal › Article › Research › peer review

Huynh, HD, Zhuang, X, Park, HS, Nanthakumar, SS, Jin, Y & Rabczuk, T 2023, 'Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials', Extreme Mechanics Letters, vol. 61, 101981. https://doi.org/10.1016/j.eml.2023.101981
Huynh, H. D., Zhuang, X., Park, H. S., Nanthakumar, S. S., Jin, Y., & Rabczuk, T. (2023). Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials. Extreme Mechanics Letters, 61, Article 101981. https://doi.org/10.1016/j.eml.2023.101981
Huynh HD, Zhuang X, Park HS, Nanthakumar SS, Jin Y, Rabczuk T. Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials. Extreme Mechanics Letters. 2023 Jun;61:101981. Epub 2023 Feb 24. doi: 10.1016/j.eml.2023.101981
Huynh, Hai D. ; Zhuang, Xiaoying ; Park, Harold S. et al. / Maximizing electro-momentum coupling in generalized 2D Willis Metamaterials. In: Extreme Mechanics Letters. 2023 ; Vol. 61.
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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.",
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author = "Huynh, {Hai D.} and Xiaoying Zhuang and Park, {Harold S.} and Nanthakumar, {S. S.} and Yabin Jin and Timon Rabczuk",
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AU - Huynh, Hai D.

AU - Zhuang, Xiaoying

AU - Park, Harold S.

AU - Nanthakumar, S. S.

AU - Jin, Yabin

AU - Rabczuk, Timon

N1 - 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 Universität of Hannover, Germany .

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N2 - 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.

AB - 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.

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