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Phononic Band Gap Properties of Doubly Periodic Arrays of Coated Inclusions

  • S. B. Platts
  • N. V. Movchan
Conference paper
Part of the NATO Science Series book series (NAII, volume 158)

Abstract

We study the propagation of waves in an elastic matrix containing a doubly periodic array of coated circular cylindrical inclusions. The aim is to find band gaps, intervals of frequency for which the waves do not propagate. We show that ar­rays of inclusions, consisting of a core and a coating, exhibit band gap properties for elastic waves. In particular, results show that by choosing appropriate elastic parameters for the coating we can create a composite structure which acts as a homogeneous material in the low frequency range.

Keywords

Homogeneous Material Elastic Parameter Periodic Array Phononic Band Shear Case 
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References

  1. [1]
    Poulton, C.G., Movchan, A.B., McPhedran R.C., Nicorovici, N.A. & Antipov, Y.A. (2000) Eigenvalue problems for doubly periodic elastic structures and phononic band gaps. Proc. R. Soc. Lond. A, 456, 2543–2559.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • S. B. Platts
    • 1
  • N. V. Movchan
    • 1
  1. 1.Department of Mathematical Sciences, M & O BuildingUniversity of LiverpoolUK

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