Abstract
Resonant ultrasound spectroscopy is used to nondestructively measure the elastic resonances of small solids to elucidate the material's elastic properties or other qualities like size, shape, or composition. Here, we introduce the software RUScal for the purpose of determining elastic properties by analyzing the eigenfrequencies of solid specimens with common shapes, such as rectangular parallelepipeds, cylinders (solid and hollow tube), ellipsoids, and octahedrons, as well as irregularly shaped ellipsoids that can be described analytically. All symmetry classes are supported, from isotropic to triclinic, along with the option to add or remove up to three orthogonal mirror planes as well as the ability to reorient the crystal axes with respect the sample edges via Euler angles. Additional features include tools to help find initial sets of elastic constants, including grid exploration and Monte Carlo methods, a tool to analyze frequencies as a function of sample length or crystal orientation, an error analysis tool to assess fit quality, and formatting of the input and output files for batch fitting, e.g., as a function of temperature. This software was validated with published resonant ultrasound spectroscopy data for various materials, shapes, and symmetries with noted improvements in calculation time compared to finite element methods.
| Original language | English |
|---|---|
| Pages (from-to) | 3547-3563 |
| Number of pages | 17 |
| Journal | Journal of the Acoustical Society of America |
| Volume | 151 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 1 2022 |
Funding
This work is funded by the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the United States Department of Energy. We acknowledge Dr. Alaska Subedi for contributing Cholesky decomposition to the initial code development, Dr. A. Balodhi and Professor A. Zevalkink for providing data sets on LiYF4, Professor V. Keppens and the D. Mandrus group for lending data to test the code, and Dr. D. Pierce for providing a 4140-steel sample. We thank Dr. R. Juneja and Dr. A. Biswas for helpful discussions on the implementation of the genetic algorithm and Dr. Watkins and Dr. Lara-Curzio for useful comments.