Abstract
Using a method used mainly by geophysicists for small specimens-acousticresonance spectroscopy (ARS)-we measured the elastic-stiffness constants of centimeter-size copper specimens with rectangular-parallelepiped shapes. The polycrystal consisted of heavily twinned 75-μm crystallites. From the specimens' macroscopic resonance-vibration frequencies (midkilohertz to low-megahertz), we calculated the least-squares elastic-stiffness coefficients, two and three for the two cases. Using the same specimens, we augmented the ARS measurements with conventional pulse-echo-method measurements. Using rod specimens, we measured the Young modulus E and torsional modulus G, and we calculated the bulk modulus B. The less direct and less familiar ARS method gives the same results as a usual pulse-echo method and a rod-resonance method. The small difference between polycrystal and monocrystal values may arise from mobile twin boundaries that contribute a small reversible plastic strain to the intrinsic elastic strain. We list 16 advantages of the ARS method to measure elastic constants.
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References
H. Regnault,Annal. Chim. Phys. 4:64 (1842).
G. Wertheim,Annal. Chim. Phys. 23:52 (1848).
E. Amagat,C.R. Acad. Sci. Paris 99:130 (1884).
P. Bridgman,The Physics of High Pressure (Bell, London, 1952).
P. Bridgman,Am. Acad. Arts Sci. Proc. 58:165 (1923).
P. Bridgman,Am. Acad. Arts Sci. Proc. 77:187 (1949).
C. Swenson,Solid State Phys. 11:41 (1960).
E. Schreiber, O. Anderson, and N. Soga,Elastic Constants and Their Measurement (McGraw-Hill, New York, 1973).
D. Lazarus,Phys. Rev. 76:545 (1949).
E. Goens and J. Weerts,Phys. Z. 37:321 (1936).
H. Dernarest,J. Acoust. Soc. Am. 49:768 (1969)
H. Ledbetter, N. Frederick, and M. Austin,J. Appl. Phys. 51:305 (1980).
H. Ledbetter,Cryogenics 20:637 (1980)
P. Heyliger, A. Jilani, H. Ledbetter, R. Leisure, and C.-L. Wang.J. Acoust. Soc. Am. 94:1482 (1993)
H. Ledbetter and E. Naimon,J. Phys. Chem. Ref Data 3:897 (1974).
O. Anderson,J. Acoust. Soc. Am. 91:2245 (1992)
M. Lei, J. Sarrao, W. Visscher, T. Bell, J. Thompson, and A. Migliori,Phys. Rev. B 47:6154 (1993).
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Ledbetter, H., Kim, S., Fortunko, C. et al. Compressibility of polycrystal and monocrystal copper: Acoustic-resonance spectroscopy. Int J Thermophys 17, 263–269 (1996). https://doi.org/10.1007/BF01448228
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DOI: https://doi.org/10.1007/BF01448228