Skip to main content

NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

The Internal-Friction Tensor Q-1iJ

Published

Author(s)

Paul R. Heyliger, H M. Ledbetter, Sudook A. Kim

Abstract

oustic-resonance spectroscopy enables obtaining the complete elastic-stiffness tensor Cy in one measurement of the macroscopic-vibration frequencies of a regular-shape solid. Because the total elastic stiffness Cy contains both real and imaginary parts, Cy = Cy (1 + i!-1y), in principle one can simultaneously determine the complete internal-friction tensor Q-1y. Here, we give the necessary mathematical analysis together with applications to monocrystal magnesium oxide and to monocrystal silicon with two dislocation densities. Briefly, we describe our results in terms of the Koehler-Granato-Lucke vibrating-string modelof dislocation damping.
Citation
L. Magalas, (ED.) Mechanical Spectroscopy

Keywords

acoustic-resonance spectroscopy, elastic coefficients, internal friction, magnesium oxide, natural vibrations, silicon, ultrasonics, vibrating-string model

Citation

Heyliger, P. , Ledbetter, H. and Kim, S. (2021), The Internal-Friction Tensor Q-1<sub>iJ</sub>, L. Magalas, (ED.) Mechanical Spectroscopy (Accessed November 3, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created October 12, 2021
Was this page helpful?