@inproceedings{a5307047c0184e0d866adc0dc78b8578,

title = "Voigt, Reuss, Hill, and self-consistent techniques for modeling ultrasonic scattering",

abstract = "An elastic wave propagating in a metal loses a portion of its energy from scattering caused by acoustic impedance differences existing at the boundaries of anisotropic grains. Theoretical scattering models capture this phenomena by assuming the incoming wave is described by an average elastic moduli tensor Cijkl0(x) that is perturbed by a grain with elasticity Cijkl(x′) where the scattering event occurs when x = x′. Previous models have assumed that Cijkl0(x) is the Voigt average of the single-crystal elastic moduli tensor. However, this assumption may be incorrect because the Voigt average overestimates the wave's phase velocity. Thus, the use of alternate definitions of Cijkl0(x) to describe the incoming wave is posed. Voigt, Reuss, Hill, and self-consistent definitions of Cijkl0(x) are derived in the context of ultrasonic scattering models. The scattering-based models describing ultrasonic backscatter, attenuation, and diffusion are shown to be highly dependent on the definition of Cijkl0(x).",

keywords = "Hill, Reuss, Self-consistent, Ultrasonic scattering, Voigt, attenuation, diffusivity, grain noise, polycrystal elasticity",

author = "Kube, {Christopher M.} and Turner, {Joseph A.}",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; 41st Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2014 ; Conference date: 20-07-2014 Through 25-07-2014",

year = "2015",

doi = "10.1063/1.4914698",

language = "English (US)",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "926--934",

editor = "Chimenti, {Dale E.} and Bond, {Leonard J.}",

booktitle = "41st Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 34",

}