Active elastodynamic cloaking

Andrew N. Norris, Feruza A. Amirkulova, William J. Parnell

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

An active elastodynamic cloak destructively interferes with an incident time harmonic in-plane (coupled compressional/shear) elastic wave to produce zero total elastic field over a finite spatial region. A method is described which explicitly predicts the source amplitudes of the active field. For a given number of sources and their positions in two dimensions it is shown that the multipole amplitudes can be expressed as infinite sums of the coefficients of the incident wave decomposed into regular Bessel functions. Importantly, the active field generated by the sources vanishes in the far-field. In practice the infinite summations are clearly required to be truncated and the accuracy of cloaking is studied when the truncation parameter is modified.

Original languageEnglish (US)
Pages (from-to)603-625
Number of pages23
JournalMathematics and Mechanics of Solids
Volume19
Issue number6
DOIs
StatePublished - Aug 2014

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mathematics(all)
  • Materials Science(all)

Keywords

  • Active cloaking
  • Elastodynamics
  • Graf's addition theorem
  • multipole
  • source amplitudes

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