Ultrasonic backscattering in polycrystals with elongated single phase and duplex microstructures

• Published in: Ultrasonics 2012-08, Vol.52 (6), p.694-705
• Main Authors: Lobkis, O.I., Yang, L., Li, J., Rokhlin, S.I.
• Format: Article
• Language: English
• Subjects: Acoustical properties of solids; Acoustics; Backscattering; Coefficients; Condensed matter: structure, mechanical and thermal properties; Data processing; Elongation; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Grains; Mathematical models; Mechanical and acoustical properties of condensed matter; Microstructure; Physics; Polycrystals; Ultrasonic attenuation; Ultrasonic backscattering; Ultrasonics, quantum acoustics, and physical effects of sound
• ISSN: 0041-624X; 1874-9968
• DOI: 10.1016/j.ultras.2011.12.002

► Ultrasonic backscattering for duplex elongated microstructure is obtained. ► The dominant effect of grain size in the direction of wave propagation is found. ► The theory and directional backscattering experiments are compared for a Ti alloy. ► Sizes of the elongated grains and unified material parameter are determined. ► Parameters determined ultrasonically agree with actual material characteristics. An analytical solution for a three dimensional integral representation of the backscattering (BS) coefficient in polycrystals with elongated (generally ellipsoidal) grains is obtained; it is a natural generalization of the known explicit result for the BS coefficient in polycrystals with spherical grains. New insights into the dependence of the BS signal on frequency and averaged ellipsoidal grain radii are obtained. In particular it has been shown that the dominant factor for the backscattering is the averaged interaction length of the ellipsoidal grain in the direction of wave propagation, instead of the ellipsoidal cross-section. The theory was applied to a simplified model of Ti alloy duplex microstructure and was compared with experiment. For the experimental data analysis directional backscattering ratios are introduced and shown to be advantageous for characterization of duplex elongated microstructures/microtextures. In addition to the geometrical parameters of the elongated microtextures, the BS directional ratios depend on the newly introduced nondimensional material parameter q. The parameter q exhibits the relative contribution of the second phase (crystallites) to the backscattering signal, the effect of which is measurable and important. Comparison of the model with experiment shows there is a significant advantage in using the directional ratios of backscattering coefficients for data analysis.