Journal
WAVE MOTION
Volume 57, Issue -, Pages 182-193Publisher
ELSEVIER
DOI: 10.1016/j.wavemoti.2015.04.002
Keywords
Ultrasonic scattering; Polycrystalline media; Attenuation; Dispersion
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Funding
- Federal Railroad Administration [DTFR53-G-00011]
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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. (C) 2015 Elsevier B.V. All rights reserved.
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