Resonant Ultrasound Spectroscopy: Sensitivity Analysis for Anisotropic Materials With Hexagonal Symmetry

Abstract

Resonance ultrasound spectroscopy (RUS) is a non-destructive technique for evaluating elastic and an-elastic material properties. The frequencies of free vibrations for a carefully crafted sample are measured, and material properties can be extracted from this. In one popular application, the determination of monocrystal elasticity, the results are not always reliable. In some cases, the resonant frequencies are insensitive to changes in certain elastic constants or their linear combinations. Previous work has been done to characterize these sensitivity issues in materials with isotropic and cubic symmetry. This work examines the sensitivity of elastic constant measurements by the RUS method for materials with hexagonal symmetry, such as titanium-diboride. We investigate the reliability of RUS data and explore supplemental measurements to obtain an accurate and complete set of elastic constants.

Resonant ultrasound spectroscopy: How much information lies in higher frequencies

“…(22) and subsection II-B-4, the diagonal elements of Γ relies on the diagonal elements of the elastic constant matrix. This sensitivity issue, is however, not the focus of this paper and has been previously investigated [37,38].…”