Abstract
The effects of amplitude-dependent internal friction in a low-frequency rod resonator made of annealed polycrystalline copper are studied experimentally and theoretically. We report the results of measurements of nonlinear losses and resonance frequency shift in the first three longitudinal resonator modes in the frequency range from 2 to 11 kHz. The observed effects are described analytically using the rheological model and the equation of state of a microinhomogeneous medium with hysteretic loss saturation and relaxation of its viscoelastic defects. The values of effective parameters of the hysteretic nonlinearity of the annealed copper sample and their frequency dependences are determined by comparing the experimental and analytical results.
Similar content being viewed by others
REFERENCES
K. A. Naugol’nykh and L. A. Ostrovsky, Nonlinear Wave Processes in Acoustics (Cambridge Univ. Press, New York, 1998).
V. E. Nazarov and A. V. Radostin, Nonlinear Wave Processes in Elastic Micro-Inhomogeneous Solids (Wiley, Hoboken, New Jersey, 2015).
L. K. Zarembo and V. A. Krasilnikov, Sov. Phys.-Usp. 13, 778 (1970).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Pergamon, Oxford, 1986).
M. A. Isakovich, General Acoustics (Cambridge Univ. Press, Cambridge, 1973).
V. E. Nazarov and S. B. Kiyashko, Radiophys. Quantum Electron. 62 (5), 348 (2019).
N. N. Davidenkov, Zh. Tekh. Fiz. 8 (6), 483 (1938).
T. A. Read, Phys. Rev. 58, 371 (1940).
A. Granato and K. Lücke, J. Appl. Phys. 27, 583 (1956).
Ultrasonic Methods for Studying Dislocations: Collection of Articles, Ed. by L. G. Merkulov (Inostr. Lit., Moscow, 1963) [in Russian].
“Application to quantum and solid state physics,” in Physical Acoustics and Methods, Ed. by W. P. Mason (Academic, New York–London, 1966), Vol. 4, Part A.
D. H. Niblett and J. Wilkes, Usp. Fiz. Nauk 80 (1), 125 (1963).
S. Asano, J. Phys. Soc. Jpn. 29 (4), 952 (1970).
A. B. Lebedev, Phys. Solid State 41, 1105 (1999). https://doi.org/10.1134/1.1130947
V. P. Levin and V. B. Proskurin, Dislocation Inelasticity in Metals (Nauka, Moscow, 1993) [in Russian].
A. S. Novick, Phys. Rev. 80 (2), 249 (1950).
S. Takahachi, J. Appl. Phys. 11 (12), 1253 (1956).
D. N. Beshers, J. Appl. Phys. 30 (2), 252 (1959).
L. A. Kamentsky, Thesis (Cornel Univ., AFOSR-TN-56-425, 1956).
U. Hiki, J. Phys. Soc. Jpn. 13 (8), 1138 (1958).
I. J. Teutonico, A. V. Granato, and K. Lucke, J. Appl. Phys. 35 (1), 220 (1964).
K. Lucke, A. V. Granato, and I. J. Teutonico, J. Appl. Phys. 39 (11), 5181 (1968).
A. V. Granato and K. Lucke, J. Appl. Phys. 52 (12), 7136 (1981).
P. Peguin and H. K. Birnbaum, J. Appl. Phys. 39 (9), 4428 (1968).
D. G. Blair, T. S. Hutchinson, and D. H. Rogers, Can. J. Phys. 49 (6), 633 (1971).
G. Gremaud, Mater. Sci. Eng., A 521–522, 12 (2009).
S. B. Kustov, S. N. Golyandin, A. V. Nikiforov, and B. K. Kardashev, Sov. Phys. Solid State 31, 326 (1989).
S. N. Golyandin and S. B. Kustov, Fiz. Tverd. Tela 34 (12), 3763 (1992).
S. N. Golyandin and S. B. Kustov, Fiz. Tverd. Tela 34 (12), 3771 (1992).
S. N. Golyandin and S. B. Kustov, Phys. Solid State 37, 1786 (1995).
S. N. Golyandin and S. B. Kustov, J. Alloys Compd. 211–212, 164 (1994).
S. Kustov, G. Gremaud, W. Benoit, Y. Nisino, and S. Asano, J. Appl. Phys. 85 (3), 1444 (1999).
S. N. Golyandin, K. V. Sapozhnikov, Yu. A. Emel’yanov, et al., Phys. Solid State 40, 1667 (1998). https://doi.org/10.1134/1.1130631
K. V. Sapozhnikov, S. N. Golyandin, and S. B. Kustov, Phys. Solid State 52, 43 (2010). https://doi.org/10.1134/S1063783410010087
V. E. Nazarov and S. B. Kiyashko, Tech. Phys. 59 (3), 311 (2014). https://doi.org/10.1134/S1063784214030207
R. W. K. Honeycombe, The Plastic Deformation of Metals (Edward Arnold, London, 1968).
D. V. Sivukhin, Atomic and Nuclear Physics (Fizmatlit, Moscow, 2002), Vol. 5 [in Rissian].
J. C. Swartz and J. Weertman, J. Appl. Phys. 32 (10), 1860 (1961).
D. Gelli, J. Appl. Phys. 33 (4), 1547 (1962).
Funding
This study was supported by the Russian Foundation for Basic Research, project no. 20-02-00215A.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by N. Wadhwa
Rights and permissions
About this article
Cite this article
Nazarov, V.E., Kolpakov, A.B. The Effects of Amplitude-Dependent Internal Friction in a Low-Frequency Annealed Polycrystalline Copper Rod Resonator. Tech. Phys. 66, 1257–1267 (2021). https://doi.org/10.1134/S1063784221090140
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784221090140