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. In this presentation, models for wave propagation and scattering in statistically anisotropic media, such as cracked media and textured media are presented. Compact expressions are derived for attenuations and wave velocities of the quasilongitudinal and two quasishear waves using stochastic wave theory in a generalized dyadic approach. In cracked media, two different types of aligned penny-shaped cracks, one of uniaxially aligned cracks and the other of perfectly aligned cracks, are investigated. In textured media, attenuations and wave velocities are discussed for a general orthorhombic aggregate made up of cubic crystallites. Numerical results are presented and discussed in terms of the relevant dependent parameters. Knowledge of wave velocity and attenuation may be used to infer material microstructure in those complex materials. The results are anticipated to advance the field of materials characterization of statistically anisotropic media. [Work supported by NSF and DOE]
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