Electronic Theses and Dissertations

Date of Award

1-1-2021

Document Type

Thesis

Degree Name

M.S. in Engineering Science

First Advisor

Farhad Farzbod

Relational Format

dissertation/thesis

Abstract

Resonance ultrasound spectroscopy (RUS) is an experimental method by which material properties are obtained by careful observation of the resonant vibrations of a meticulously crafted sample. Among the most common applications of this technique is the determination of single-crystal elasticity. Previous works have considered the reliability of elasticity information obtained via the RUS method when the material is of isotropic or cubic symmetry, and this work extends these efforts to materials with hexagonal symmetry, such as titanium di-boride. The reliability of elasticity information obtained by RUS is evaluated by Sobol Analysis and by close examination of the stiffness-frequency functionality. Findings show that the values of off-diagonal elements of the Voigt stiffness matrix are error-prone due to insensitivity of the resonant spectrum; regression of these elements’ values is not robust to experimental errors in measuring the resonant frequencies. Techniques based on surface acoustic wave measurements are demonstrated to be a suitable supplement to RUS for more reliable determination of the off-diagonal stiffness values, forming a complete and accurate characterization of the material elasticity.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.