Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-14T22:10:44.635Z Has data issue: false hasContentIssue false
  • English
  • Français

Elastic constants and internal friction of polycrystalline copper

Published online by Cambridge University Press:  03 March 2011

Hassel Ledbetter ,
Christopher Fortunko  and
Paul Heyliger
Hassel Ledbetter
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Boulder, Colorado 80303–3328
Christopher Fortunko
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Boulder, Colorado 80303–3328
Paul Heyliger
Affiliation:
Civil Engineering Department, Colorado State University, Fort Collins, Colorado 80523
Get access

Abstract

Using ultrasonic-resonance spectroscopy (URS), we measured the elastic constant C and companion internal friction Q−1 of isotropic polycrystalline copper. The annealed material was 0.9999 pure with equiaxed heavily twinned grains averaging about 75 μm diameter. The URS method offers the principal advantage of point contact or loose coupling, thus there was no contribution from a transducer-specimen bond and only small contributions from transducers and fixture. A second advantage is one measurement for all elastic constants and all associated internal frictions. The C's agree with established values. The Q−1's are much lower than pulse-echo-method values. Comparison of measured Q−1 with the Koehler-Granato-Lücke model permits estimating an effective dislocation-loop length. Q−1 (shear) exceeds Q−1 (longitudinal) by a factor of about 1.5.

Type
Rapid Communication
Information
Journal of Materials Research , Volume 10 , Issue 6 , June 1995 , pp. 1352 - 1353
Copyright
Copyright © Materials Research Society 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Schreiber, E., Anderson, O., and Soga, N., Elastic Constants and Their Measurement (McGraw-Hill, New York, 1973), especially Chap. 5.Google Scholar
2Maynard, J., McKenna, M., Migliori, A., and Visscher, W., in Ultrasonics of High-Tc and Other Unconventional Superconductors (Academic, Boston, 1992), p. 381.CrossRefGoogle Scholar
3Anderson, O., J. Acoust. Soc. Am. 91, 2245 (1992).CrossRefGoogle Scholar
4Sumino, Y., Ohno, I., Goto, T., and Kumazawa, M., J. Phys. Earth 24, 263 (1976).CrossRefGoogle Scholar
5Suzuki, I., Inoue, Y., Hirao, J., Oda, H., Saito, T., and Seya, K., Zisin 45, 213 (1992) (in Japanese).CrossRefGoogle Scholar
6Oda, H. and Anderson, O., unpublished.Google Scholar
7Ledbetter, H., Fortunko, C., and Heylinger, P., J. Appl. Phys. (1995, in press).Google Scholar
8Hiki, Y. and Granato, A., Phys. Rev. 144, 411 (1966).CrossRefGoogle Scholar
9Ledbetter, H., J. Phys. D: Appl. Phys. 13, 1879 (1980).CrossRefGoogle Scholar
10Ledbetter, H., Frederick, N., and Austin, M., J. Appl. Phys. 51, 305 (1980).CrossRefGoogle Scholar
11Stern, R. and Granato, A., Acta Metall. 10, 358 (1962).CrossRefGoogle Scholar
12Koehler, J., in Imperfections in Nearly Perfect Crystals (John Wiley, New York, 1952), p. 203.Google Scholar
13Hirth, J. and Lothe, J., Theory of Dislocations (John Wiley, New York, 1982), p. 549.Google Scholar