Abstract
The investigation of wave propagation and scattering of elastic waves in heterogeneous, anisotropic media is of substantial interest to quantitative nondestructive evaluation and materials characterization. The scattering of elastic waves in polycrystalline media is primarily due to interaction with the grains. Knowledge of wave velocity and attenuation may be used to infer material texture in polycrystalline aggregates. In this presentation, a model for wave propagation and scattering in polycrystalline materials with texture is presented. Attenuations and wave velocities are discussed for a general orthorhombic material made up of cubic crystallites. The attenuations of each wave type are derived as a function of dimensionless frequency and wave propagation direction, respectively, for given orientation distribution coefficients (ODCs). The ODCs are, in essence, the coefficients of an expansion of crystallite of orientation distribution function (ODF) in terms of a series of generalized spherical harmonics. A relationship between the phase velocity and recrystallization variables, such as annealing time, is also investigated for specific examples. Finally, numerical results are presented and discussed in terms of the relevant dependent parameters. The results are anticipated to advance the field of materials characterization of statistically anisotropic media. [Work supported by DOE.]
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