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Phononic Band Gaps of Elastic Periodic Structures: A Homogenization Theory Study

[+] Author Affiliations
Ying-Hong Liu, Chien C. Chang, C. Chung Chang

Academia Sinica, Taipei, Taiwan, ROC

Ruey-Lin Chern

National Taiwan University, Taipei, Taiwan, ROC

Paper No. IMECE2007-43969, pp. 1031-1038; 8 pages
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 10: Mechanics of Solids and Structures, Parts A and B
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4304-1 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME


In this study, we investigate band structures of phononic crystals with particular emphasis on the effects of the mass density ratio and of the contrast of elastic constants. The phononic crystals consist of arrays of different media embedded in a rubber or epoxy. It is shown that the density ratio rather than the contrast of elastic constants is the dominant factor that opens up phononic band gaps. The physical background of this observation is explained by applying the theory of homogenization to investigate the group velocities of the low-frequency bands at the center of symmetry Γ.

Copyright © 2007 by ASME



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