ON ANOMALOUS LOCALIZED RESONANCE FOR THE ELASTOSTATIC SYSTEM

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

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)3322-3344
Journal / PublicationSIAM Journal on Mathematical Analysis
Volume48
Issue number5
Online published21 Sept 2016
Publication statusPublished - 2016
Externally publishedYes

Abstract

We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in ℝ2. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core, we show that resonance occurs for a very broad class of sources. If the core is nonempty and of an arbitrary shape, we show that there exists a critical radius such that resonance occurs for a certain class of sources lying within the critical radius, whereas resonance does not occur for a certain class of sources lying outside the critical radius. Our argument is based on a variational technique by making use of the primal and dual variational principles for the elastostatic system, along with the construction of suitable test functions. © 2016, Society for Industrial and Applied Mathematics.

Research Area(s)

  • anomalous localized resonance, Eeastostatics, plasmonic material

Citation Format(s)

ON ANOMALOUS LOCALIZED RESONANCE FOR THE ELASTOSTATIC SYSTEM. / LI, HONGJIE; LIU, HONGYU.
In: SIAM Journal on Mathematical Analysis, Vol. 48, No. 5, 2016, p. 3322-3344.

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