Abstract
A comparative analysis of elastic constant determination from the angular dependence of group and phase velocity data in orthotropic and transversely isotropic materials is performed. A nonlinear least-squares optimization procedure is used for inversion. The method allows the use of group velocity data in a cuspidal region, where for a given ray direction there are more than three distinct wave modes propagating with different velocities. Exact analytical equations are derived relating group velocities to elastic constants for arbitrary planes in transversely isotropic materials. Approximate relations for nonsymmetry planes in orthotropic materials are obtained. The procedure is generalized for determination of elastic constants from group velocities measured in arbitrary incident planes in orthotropic materials.
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