Ultrasonic velocity and attenuation in an epoxy matrix containing lead inclusions

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Abstract
The single-scattering theory of Ying and Truell (1956) is compared with measurements of Kinra et al. (1982) on an epoxy matrix with lead inclusions in the form of spheres with radius a=600 mu m. Experiments on samples with 5% concentration of inclusion are in reasonable agreement with single-scatterer theory. However, measurements on samples with 15% lead show important deviations which are interpreted as being due to multiple-scattering effects. Oscillations in the ultrasonic velocity dispersion are correlated with oscillations in the ultrasonic attenuation. This correlation is discussed within the context of the Kramers-Kronig relations, relating the real and imaginary parts of the ultrasonic wavenumber.