Ultrasonic attenuation in polycrystals using a self-consistent approach

Christopher Kube, Joseph A. Turner

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The self-consistent method of averaging elastic moduli to define the effective medium of a polycrystal is used to investigate the dynamic problem of wave propagation. An alternative covariance tensor describing the elastic moduli fluctuations of the polycrystal containing self-consistent elastic properties is derived and found to be significantly smaller than the covariance tensor formed through traditional Voigt averaging. Attenuation curves are generated using the self-consistent elastic moduli and covariance tensors and these results are compared with previous Voigt-averaged estimates. The second-order polycrystalline dispersion relation for the self-consistent scheme is found for cases of low and high crystallite anisotropy. The attenuation coefficients and dispersion relations derived through the self-consistent scheme are considerably different than previous estimates. Experimentally measured longitudinal attenuation coefficients support the use of the self-consistent scheme for estimation of attenuation.

Original languageEnglish (US)
Pages (from-to)182-193
Number of pages12
JournalWave Motion
Volume57
DOIs
StatePublished - Jan 1 2015

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polycrystals
modulus of elasticity
ultrasonics
attenuation
attenuation coefficients
tensors
estimates
wave propagation
elastic properties
anisotropy
curves

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Ultrasonic attenuation in polycrystals using a self-consistent approach. / Kube, Christopher; Turner, Joseph A.

In: Wave Motion, Vol. 57, 01.01.2015, p. 182-193.

Research output: Contribution to journalArticle

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AB - The self-consistent method of averaging elastic moduli to define the effective medium of a polycrystal is used to investigate the dynamic problem of wave propagation. An alternative covariance tensor describing the elastic moduli fluctuations of the polycrystal containing self-consistent elastic properties is derived and found to be significantly smaller than the covariance tensor formed through traditional Voigt averaging. Attenuation curves are generated using the self-consistent elastic moduli and covariance tensors and these results are compared with previous Voigt-averaged estimates. The second-order polycrystalline dispersion relation for the self-consistent scheme is found for cases of low and high crystallite anisotropy. The attenuation coefficients and dispersion relations derived through the self-consistent scheme are considerably different than previous estimates. Experimentally measured longitudinal attenuation coefficients support the use of the self-consistent scheme for estimation of attenuation.

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