Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Runcheng Cai
  • Yabin Jin
  • Timon Rabczuk
  • Xiaoying Zhuang
  • Bahram Djafari-Rouhani

Research Organisations

External Research Organisations

  • Tongji University
  • Bauhaus-Universität Weimar
  • Lille 1 University of Science and Technology
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Details

Original languageEnglish
Article number0003923
JournalJournal of applied physics
Volume129
Issue number12
Publication statusPublished - 28 Mar 2021

Abstract

The development of seismic metamaterials has attracted much research interest in the past decade. Efforts have been made by using experimental and theoretical approaches to isolate buildings and structures susceptible to elastic surface wave damage. However, most seismic metamaterials were designed without considering the viscoelastic effect that widely exists in nature. In this work, we investigate the propagation and attenuation of the Rayleigh and pseudo surface waves (PSWs) in two types of viscoelastic seismic metamaterials, namely, pillared and inclusion-embedded metamaterials, by analyzing the complex band structures and transmission spectra. The complex band structure developed in this work reveals for the first time the existence of PSWs and their propagation properties in inclusion-embedded metamaterials at the surface. These PSW modes are hidden in the traditional ω(k) technique, therefore showing the usefulness of the complex band structure approach. Introducing viscosity to the substrate of both types of seismic metamaterials will enhance the attenuation of both the Rayleigh wave and PSW. For inclusion-embedded metamaterials, the viscoelastic effect in the soft coating layer can have a specific influence only on the PSW. PSWs show advantages to minimize the relative attenuating effect in general. The results in this work will open up great possibilities for designing and optimizing seismic metamaterials in practice.

ASJC Scopus subject areas

Cite this

Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials. / Cai, Runcheng; Jin, Yabin; Rabczuk, Timon et al.
In: Journal of applied physics, Vol. 129, No. 12, 0003923, 28.03.2021.

Research output: Contribution to journalArticleResearchpeer review

Cai, R., Jin, Y., Rabczuk, T., Zhuang, X., & Djafari-Rouhani, B. (2021). Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials. Journal of applied physics, 129(12), Article 0003923. https://doi.org/10.1063/5.0042577
Cai R, Jin Y, Rabczuk T, Zhuang X, Djafari-Rouhani B. Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials. Journal of applied physics. 2021 Mar 28;129(12):0003923. doi: 10.1063/5.0042577
Cai, Runcheng ; Jin, Yabin ; Rabczuk, Timon et al. / Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials. In: Journal of applied physics. 2021 ; Vol. 129, No. 12.
Download
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abstract = "The development of seismic metamaterials has attracted much research interest in the past decade. Efforts have been made by using experimental and theoretical approaches to isolate buildings and structures susceptible to elastic surface wave damage. However, most seismic metamaterials were designed without considering the viscoelastic effect that widely exists in nature. In this work, we investigate the propagation and attenuation of the Rayleigh and pseudo surface waves (PSWs) in two types of viscoelastic seismic metamaterials, namely, pillared and inclusion-embedded metamaterials, by analyzing the complex band structures and transmission spectra. The complex band structure developed in this work reveals for the first time the existence of PSWs and their propagation properties in inclusion-embedded metamaterials at the surface. These PSW modes are hidden in the traditional ω(k) technique, therefore showing the usefulness of the complex band structure approach. Introducing viscosity to the substrate of both types of seismic metamaterials will enhance the attenuation of both the Rayleigh wave and PSW. For inclusion-embedded metamaterials, the viscoelastic effect in the soft coating layer can have a specific influence only on the PSW. PSWs show advantages to minimize the relative attenuating effect in general. The results in this work will open up great possibilities for designing and optimizing seismic metamaterials in practice. ",
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