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Ultrasonic Backscattering in Cubic Polycrystals with Ellipsoidal Grains and Texture

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Abstract

An ultrasonic model for backscattering from polycrystalline microstructure is developed for polycrystals with uniaxial texture and elongated cubic crystallites. The uniaxial texture or crystallographic orientation of the grains is described by a modified Gaussian orientation distribution function (ODF) with a texture parameter. Macroscopically such a textured polycrystalline medium exhibits hexagonal symmetry. The preferred texture direction and elongation are independently defined in a global system. The dependence of backscattering coefficients and their directional ratios on both texture and grain anisotropy are discussed. Attenuation coefficients in the high frequency range for arbitrary wave propagation direction are obtained and then the ratios in the three axis directions are studied. The model is compared with experimental data available in the literature for Al rolled alloys and shows good agreement when accounting for both texture and grain anisotropy effects.

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Acknowledgements

This work was sponsored by the AFOSR under contract FA9550-09-1-0452.

The authors appreciate fruitful discussions with Dr. Oleg Lobkis and Jia Li.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, Edison Joining Technology Center, The Ohio State University, 1248 Arthur E. Adams Dr., Columbus, OH, 43221, USA

    L. Yang & S. I. Rokhlin

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  1. L. Yang
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  2. S. I. Rokhlin
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Correspondence to S. I. Rokhlin.

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Yang, L., Rokhlin, S.I. Ultrasonic Backscattering in Cubic Polycrystals with Ellipsoidal Grains and Texture. J Nondestruct Eval 32, 142–155 (2013). https://doi.org/10.1007/s10921-012-0167-3

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  • DOI: https://doi.org/10.1007/s10921-012-0167-3

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