RUScal: Software for the analysis of resonant ultrasound spectroscopy measurements

Torres, James Robert; Flores-Betancourt, Alexis; Hermann, Raphaël P.

doi:10.1121/10.0011397

Title: RUScal: Software for the analysis of resonant ultrasound spectroscopy measurements

Journal Article · Tue May 31 00:00:00 EDT 2022 · Journal of the Acoustical Society of America

DOI:https://doi.org/10.1121/10.0011397· OSTI ID:1876321

^[1];

^[2];

^[2]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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. In this work, 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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Laboratory Directed Research and Development (LDRD) Program. Oak Ridge National Laboratory (ORNL)

Grant/Contract Number:: AC05-00OR22725; 89233218CNA000001

OSTI ID:: 1876321

Alternate ID(s):: OSTI ID: 1872364

Report Number(s):: LA-UR-22-23263

Journal Information:: Journal of the Acoustical Society of America, Vol. 151, Issue 5; ISSN 0001-4966

Publisher:: Acoustical Society of AmericaCopyright Statement

Country of Publication:: United States

Language:: English

References (33)

Resonant ultrasound spectroscopy: applications, current status and limitations Schwarz, R. B.; Vuorinen, J. F. Journal of Alloys and Compounds, Vol. 310, Issue 1-2 https://doi.org/10.1016/S0925-8388(00)00925-7	journal	September 2000
Novel Method of Measuring Elastic and Anelastic Properties of Solids Fraser, D. B.; LeCraw, R. C. Review of Scientific Instruments, Vol. 35, Issue 9 https://doi.org/10.1063/1.1718976	journal	September 1964
Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry: RUS FOR ARBITRARY SHAPE AND HIGH DAMPING Remillieux, Marcel C.; Ulrich, T. J.; Payan, Cédric Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 7 https://doi.org/10.1002/2015JB011932	journal	July 2015
A simplified method for calculating the debye temperature from elastic constants Anderson, Orson L. Journal of Physics and Chemistry of Solids, Vol. 24, Issue 7 https://doi.org/10.1016/0022-3697(63)90067-2	journal	July 1963
Elastic constants of corundum up to 1825 K Goto, Takayasu; Anderson, Orson L.; Ohno, Ichiro Journal of Geophysical Research, Vol. 94, Issue B6 https://doi.org/10.1029/JB094iB06p07588	journal	January 1989
Implementation of a modern resonant ultrasound spectroscopy system for the measurement of the elastic moduli of small solid specimens Migliori, Albert; Maynard, J. D. Review of Scientific Instruments, Vol. 76, Issue 12 https://doi.org/10.1063/1.2140494	journal	December 2005
Bounding the pseudogap with a line of phase transitions in YBa2Cu3O6+δ Shekhter, Arkady; Ramshaw, B. J.; Liang, Ruixing Nature, Vol. 498, Issue 7452 https://doi.org/10.1038/nature12165	journal	June 2013
Elastic constants of chrome-diopside: application of resonant ultrasound spectroscopy to monoclinic single-crystals Isaak, D. G.; Ohno, I. Physics and Chemistry of Minerals, Vol. 30, Issue 7 https://doi.org/10.1007/s00269-003-0334-2	journal	August 2003
Elastic properties of tektites measured by resonant sphere technique Soga, Naohiro; Anderson, Orson L. Journal of Geophysical Research, Vol. 72, Issue 6 https://doi.org/10.1029/JZ072i006p01733	journal	March 1967
Cube‐Resonance Method to Determine the Elastic Constants of Solids Demarest, Harold H. The Journal of the Acoustical Society of America, Vol. 49, Issue 3B https://doi.org/10.1121/1.1912415	journal	March 1971
High Temperature Resonant Ultrasound Spectroscopy: A Review Li, G.; Gladden, J. R. International Journal of Spectroscopy, Vol. 2010 https://doi.org/10.1155/2010/206362	journal	January 2010
Elasticity of diopside Levien, Louise; Weidner, Donald J.; Prewitt, Charles T. Physics and Chemistry of Minerals, Vol. 4, Issue 2 https://doi.org/10.1007/BF00307555	journal	May 1979
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation Jain, Anubhav; Ong, Shyue Ping; Hautier, Geoffroy APL Materials, Vol. 1, Issue 1 https://doi.org/10.1063/1.4812323	journal	July 2013
Free vibration of a rectangular parallelepiped crystal and its application to determination of elastic constants of orthorhombic crystals. Ohno, Ichiro Journal of Physics of the Earth, Vol. 24, Issue 4 https://doi.org/10.4294/jpe1952.24.355	journal	January 1976
Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method Ohno, Ichiro; Yamamoto, Shigeru; Anderson, Orson L. Journal of Physics and Chemistry of Solids, Vol. 47, Issue 12 https://doi.org/10.1016/0022-3697(86)90141-1	journal	January 1986
One-component order parameter in URu ₂ Si ₂ uncovered by resonant ultrasound spectroscopy and machine learning Ghosh, Sayak; Matty, Michael; Baumbach, Ryan Science Advances, Vol. 6, Issue 10 https://doi.org/10.1126/sciadv.aaz4074	journal	March 2020
The Elastic Behaviour of a Crystalline Aggregate Hill, R. Proceedings of the Physical Society. Section A, Vol. 65, Issue 5 https://doi.org/10.1088/0370-1298/65/5/307	journal	May 1952
Free Oscillation of an Elastically Anisotropic Sphere and Its Application to Determining the Elastic Constants of Rutile. Suzuki, Isao; Oda, Hitoshi; Isoda, Satoru Journal of Physics of the Earth, Vol. 40, Issue 5 https://doi.org/10.4294/jpe1952.40.601	journal	January 1992
On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects Visscher, William M.; Migliori, Albert; Bell, Thomas M. The Journal of the Acoustical Society of America, Vol. 90, Issue 4 https://doi.org/10.1121/1.401643	journal	October 1991
Resonant ultrasound spectroscopy: The essential toolbox Balakirev, Fedor F.; Ennaceur, Susan M.; Migliori, Robert J. Review of Scientific Instruments, Vol. 90, Issue 12 https://doi.org/10.1063/1.5123165	journal	December 2019
Measuring the elastic tensor of a monolithic SiC hollow cylinder with resonant ultrasound spectroscopy Donahue, Carly M.; Remillieux, Marcel C.; Singh, Gyanender NDT & E International, Vol. 101 https://doi.org/10.1016/j.ndteint.2018.09.012	journal	January 2019
Complete elastic constants and giant softening of $c_{66}$ in superconducting ${La}_{1.86}$ ${Sr}_{0.14}$ ${CuO}_{4}$ Migliori, A.; Visscher, William M.; Wong, S. Physical Review Letters, Vol. 64, Issue 20 https://doi.org/10.1103/PhysRevLett.64.2458	journal	May 1990
Resonant ultrasound spectroscopy Leisure, R. G.; Willis, F. A. Journal of Physics: Condensed Matter, Vol. 9, Issue 28 https://doi.org/10.1088/0953-8984/9/28/002	journal	July 1997
Resonant ultrasound spectroscopic techniques for measurement of the elastic moduli of solids Migliori, A.; Sarrao, J. L.; Visscher, William M. Physica B: Condensed Matter, Vol. 183, Issue 1-2 https://doi.org/10.1016/0921-4526(93)90048-B	journal	January 1993
Measurement of elastic constants and internal frictions on single-crystal MgO by rectangular parallelepiped resonance. Sumino, Yoshio; Ohno, Ichiro; Goto, Takayasu Journal of Physics of the Earth, Vol. 24, Issue 3 https://doi.org/10.4294/jpe1952.24.263	journal	January 1976
Elastic constants and anelastic properties of an anisotropic periclase sphere as determined by the resonant sphere technique Oda, Hitoshi; Isoda, Satoru; Inouye, Yasushi Journal of Geophysical Research, Vol. 99, Issue B8 https://doi.org/10.1029/94JB01017	journal	January 1994
The elastic constants and acoustic symmetry of LiYF ₄ Blanchfield, P.; Saunders, G. A. Journal of Physics C: Solid State Physics, Vol. 12, Issue 22 https://doi.org/10.1088/0022-3719/12/22/010	journal	November 1979
Pressure Derivatives of Elastic Constants of Single-Crystal MgO at 23o and -195.8oC Anderson, Orson L.; Andreatch, P. Journal of the American Ceramic Society, Vol. 49, Issue 8 https://doi.org/10.1111/j.1151-2916.1966.tb15405.x	journal	August 1966
Resonant Properties of Piezoelectric Ceramic Rectangular Parallelepipeds Holland, Richard The Journal of the Acoustical Society of America, Vol. 43, Issue 5 https://doi.org/10.1121/1.1910969	journal	May 1968
Evaluation of defects in materials using resonant ultrasound spectroscopy Flynn, Kevin; Radovic, Miladin Journal of Materials Science, Vol. 46, Issue 8 https://doi.org/10.1007/s10853-010-5107-y	journal	December 2010
On the Vibrations of an Elastic Sphere Lamb, Horace Proceedings of the London Mathematical Society, Vol. s1-13, Issue 1 https://doi.org/10.1112/plms/s1-13.1.189	journal	November 1881
Temperature coefficients of elastic constants of single crystal MgO between 80 and 1,300 K Sumino, Yoshio; Anderson, Orson L.; Suzuki, Isao Physics and Chemistry of Minerals, Vol. 9, Issue 1 https://doi.org/10.1007/BF00309468	journal	January 1983
Elastic constants of synthetic single crystal corundum at room temperature Wachtman, J. B.; Tefft, W. E.; Lam, D. G. Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry, Vol. 64A, Issue 3 https://doi.org/10.6028/jres.064A.022	journal	May 1960

Similar Records

Ultrasound spectroscopy: application on MMC and PMC materials

Journal Article · Fri Jan 01 00:00:00 EST 2010 · OSTI ID:1876321

Schwarz, Ricardo B; Vuorinen, Jyki; Kuokkala, Veli - Tapani

Resonant Ultrasound Spectroscopy for Irregularly Shaped Samples and Its Application to Uranium Ditelluride

Journal Article · Fri Feb 09 00:00:00 EST 2024 · Physical Review Letters · OSTI ID:1876321

Theuss, Florian; Simarro, Gregorio de la Fuente; Shragai, Avi; +11 more

Resonant ultrasound spectroscopy: The essential toolbox

Journal Article · Tue Dec 17 00:00:00 EST 2019 · Review of Scientific Instruments · OSTI ID:1876321

Balakirev, Fedor Fedorovich; Ennaceur, Susan M.; Migliori, Robert John; +2 more

Related Subjects

47 OTHER INSTRUMENTATION
acoustic spectroscopy
elastic modulus
Euler angles
ultrasound
Monte Carlo methods
computer software
finite-element analysis
crystal orientation
crystal structure
graphical user interface
resonant ultrasound spectroscopy

Title: RUScal: Software for the analysis of resonant ultrasound spectroscopy measurements

Citation Formats

References (33)

Similar Records

Related Subjects