MINNAERT RESONANCES FOR BUBBLES IN SOFT ELASTIC MATERIALS

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

23 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)119-141
Journal / PublicationSIAM Journal on Applied Mathematics
Volume82
Issue number1
Online published11 Jan 2022
Publication statusPublished - 2022

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Abstract

Minnaert resonance is a widely known acoustic phenomenon, and it has many important applications, in particular in the effective realization of acoustic metamaterials using bubbly media in recent years. In this paper, motivated by the Minnaert resonance in acoustics, we consider the low-frequency resonance for acoustic bubbles embedded in soft elastic materials. This is a hybrid physical process that couples the acoustic and elastic wave propagations. By delicately and subtly balancing the acoustic and elastic parameters as well as the geometry of the bubble, we show that Minnaert resonance can occur (at least approximately) for rather general constructions. Our study highlights the great potential for the effective realization of negative elastic materials by using bubbly elastic media.

Research Area(s)

  • Minnaert resonance, bubbly elastic medium, hybrid Neumann--Poincare', operator, spectral, negative elastic materials, ACOUSTIC-WAVES

Citation Format(s)

MINNAERT RESONANCES FOR BUBBLES IN SOFT ELASTIC MATERIALS. / LI, Hongjie; Liu, Hongyu; Zou, Jun.
In: SIAM Journal on Applied Mathematics, Vol. 82, No. 1, 2022, p. 119-141.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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