Bounds on the longitudinal and shear wave attenuation ratio of polycrystalline materials

Christopher M. Kube, Andrew N. Norris

Research output: Contribution to journalArticle

3 Scopus citations


A lower bound to the longitudinal and shear attenuation ratio was recently derived for viscoelastic materials [Norris, J. Acoust. Soc. Am. 141, 475-479 (2017)]. This letter provides proof that a similar bound is present for low-frequency attenuation constants of polycrystals caused by grain scattering. An additional upper bound to the attenuation ratio is unveiled. Both bounds are proven to be combinations of wave speeds. The upper and lower bounds correspond with the vanishing of the second-order anisotropy of the bulk and shear modulus, respectively. A link to the polycrystalline Poisson's ratio is highlighted, which completely bounds the attenuation ratio. An analysis of 2176 crystalline materials was conducted to further verify the bounds.

Original languageEnglish (US)
Pages (from-to)2633-2636
Number of pages4
JournalJournal of the Acoustical Society of America
Issue number4
StatePublished - Apr 1 2017


All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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