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Mass-spring model of elastic media with customizable willis coupling.

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Title: Mass-spring model of elastic media with customizable willis coupling.
Authors: Qu, Hongfei1 (AUTHOR), Liu, Xiaoning1 (AUTHOR) liuxn@bit.edu.cn, Hu, Gengkai1 (AUTHOR)
Source: International Journal of Mechanical Sciences. Jun2022, Vol. 224, pN.PAG-N.PAG. 1p.
Subjects: Wave analysis, Sound waves, Metamaterials, Conceptual models, Acoustics
Abstract: • A mass-spring model is reexamined aiming at patterning Willis coupling tensor for elastic wave manipulation. • The coupling tensor can be customized by configuration adjustment and model superposition. • Effective Willis coupling and designability of the model are validated by free wave analyses. • Wave transmission through a Willis material layer is studied, elastic wave functionalities of asymmetric reflection and mode conversion are demonstrated. Willis coupling, in context of acoustics or elasticity designating the coupling between the strain and momentum, have been garnering significant attentions in recent years. As opposed to various applications demonstrated for acoustic wave, elastic media design with Willis coupling on demand is very rare. In this paper, based on a mass-spring model, the accessibility of various components of the coupling tensor for elastic Willis media is explored, and material design with customized Willis coupling aiming to elastic wave control is demonstrated. Homogenization and designability of the model are at first validated via the free wave analysis, then wave transmission properties across a sandwiched Willis layer are analyzed, based on which two illustrative examples for asymmetric reflection and wave mode conversion are demonstrated by specifically designed lattice model. Though the model is conceptual and still far away from practical usage, it may inspire more practical design and further explorations on realizing wave rectification by Willis materials. [Display omitted] [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Mechanical Sciences is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 157121795
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PubTypeId: academicJournal
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IllustrationInfo
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  Data: Mass-spring model of elastic media with customizable willis coupling.
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  Data: <searchLink fieldCode="AR" term="%22Qu%2C+Hongfei%22">Qu, Hongfei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liu%2C+Xiaoning%22">Liu, Xiaoning</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> liuxn@bit.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Hu%2C+Gengkai%22">Hu, Gengkai</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Mechanical+Sciences%22">International Journal of Mechanical Sciences</searchLink>. Jun2022, Vol. 224, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Wave+analysis%22">Wave analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Sound+waves%22">Sound waves</searchLink><br /><searchLink fieldCode="DE" term="%22Metamaterials%22">Metamaterials</searchLink><br /><searchLink fieldCode="DE" term="%22Conceptual+models%22">Conceptual models</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustics%22">Acoustics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: • A mass-spring model is reexamined aiming at patterning Willis coupling tensor for elastic wave manipulation. • The coupling tensor can be customized by configuration adjustment and model superposition. • Effective Willis coupling and designability of the model are validated by free wave analyses. • Wave transmission through a Willis material layer is studied, elastic wave functionalities of asymmetric reflection and mode conversion are demonstrated. Willis coupling, in context of acoustics or elasticity designating the coupling between the strain and momentum, have been garnering significant attentions in recent years. As opposed to various applications demonstrated for acoustic wave, elastic media design with Willis coupling on demand is very rare. In this paper, based on a mass-spring model, the accessibility of various components of the coupling tensor for elastic Willis media is explored, and material design with customized Willis coupling aiming to elastic wave control is demonstrated. Homogenization and designability of the model are at first validated via the free wave analysis, then wave transmission properties across a sandwiched Willis layer are analyzed, based on which two illustrative examples for asymmetric reflection and wave mode conversion are demonstrated by specifically designed lattice model. Though the model is conceptual and still far away from practical usage, it may inspire more practical design and further explorations on realizing wave rectification by Willis materials. [Display omitted] [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Mechanical Sciences is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.ijmecsci.2022.107325
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Wave analysis
        Type: general
      – SubjectFull: Sound waves
        Type: general
      – SubjectFull: Metamaterials
        Type: general
      – SubjectFull: Conceptual models
        Type: general
      – SubjectFull: Acoustics
        Type: general
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      – TitleFull: Mass-spring model of elastic media with customizable willis coupling.
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            NameFull: Qu, Hongfei
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            NameFull: Liu, Xiaoning
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            NameFull: Hu, Gengkai
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            – D: 15
              M: 06
              Text: Jun2022
              Type: published
              Y: 2022
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              Value: 224
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            – TitleFull: International Journal of Mechanical Sciences
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