Analytical attenuation and scattering models for polycrystals with uniform equiaxed grains.

This paper reports an explicit two-point correlation function (TPCF), associated with the mean grain size from a grain size distribution, which can well present the TPCFs of three-dimensional (3D) Voronoi polycrystals with uniform equiaxed grains. Analytical attenuation and scattering models applicable to polycrystals of uniform equiaxed grains of arbitrary symmetry are developed using this explicit TPCF. Additionally, a comparison is drawn between analytical attenuation model and available 3D finite element method (FEM) results in the literature, and it indicates that the analytical attenuation model has excellent agreement with 3D FEM. This work will facilitate the comparison between analytical modeling and 3D FEM.