Speed of Sound in Periodic Elastic Composites

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In this article, the authors consider the low-frequency limit (homogenization) for propagation of sound waves in periodic elastic medium (phononic crystals).

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4 p.

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Krokhin, Arkadii A.; Arriaga, J. & Gumen, L. December 29, 2003.

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In this article, the authors consider the low-frequency limit (homogenization) for propagation of sound waves in periodic elastic medium (phononic crystals).

Physical Description

4 p.

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Copyright 2004 American Physical Society. The following article appeared in Physical Review Letters, 91:26, http://link.aps.org/doi/10.1103/PhysRevLett.91.264302

Abstract: We consider the low-frequency limit (homogenization) for propagation of sound waves in periodic elastic medium (phononic crystals). Exact analytical formulas for the speed of sound propagating in a three-dimensional periodic arrangement of liquid and gas or in a two-dimensional arrangement of solids are derived. We apply our formulas to the well-known phenomenon of the drop of the speed of sound in mixtures. For air bubbles in water we obtain a perfect agreement with the recent results of coherent potential approximation obtained by M. Kafesaki, R. S. Penciu, and E. N. Economou if the filling of air bubbles is far from close packing. When air spheres almost touch each other, the approximation gives 10 times lower speed of sound than the exact theory does.

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  • Physical Review Letters, 2003, College Park: American Physical Society

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  • Publication Title: Physical Review Letters
  • Volume: 91
  • Issue: 26
  • Pages: 4
  • Peer Reviewed: Yes

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  • December 29, 2003

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  • Oct. 9, 2012, 10:02 a.m.

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  • April 1, 2014, 1:52 p.m.

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Krokhin, Arkadii A.; Arriaga, J. & Gumen, L. Speed of Sound in Periodic Elastic Composites, article, December 29, 2003; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc107771/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.