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

TL;DR

This paper analyzes the sensitivity of Resonant Ultrasound Spectroscopy (RUS) in measuring elastic constants of hexagonal materials, identifying limitations and proposing supplemental methods for improved accuracy.

Contribution

It extends sensitivity analysis of RUS to hexagonal symmetry materials, highlighting measurement insensitivities and suggesting solutions for complete elastic constant determination.

Findings

RUS sensitivity varies across different elastic constants in hexagonal materials.

Certain elastic constants are less reliably measured due to insensitivity in RUS.

Supplemental measurement techniques can improve the accuracy of elastic constant determination.

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.