DOI: 10.1063/1.1656726. Third-Order Elastic Constants of Single-Crystal and Polycrystalline Columbium

Third-Order Elastic Constants of Single-Crystal and Polycrystalline Columbium

10.1063/1.1656726

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

The second-order and third-order elastic constants for both single-crystal and polycrystalline columbium were determined at 298°K using an ultrasonic phase comparison method. It is shown that any dislocation contribution to the measurements is negligible with respect to other uncertainties. The third-order elastic constants (Brugger convention) in units of 1012 dyn/cm2 are c111=−25.64±0.25;c144=−3.43±0.10;ν1=−4.8±1.2;c112=−11.40±0.25;c166=−1.677±0.05;ν2=−3.70±0.2;c123=−4.67±0.25;c456=+1.366±0.05;ν3=+0.75±0.05.The Grüneisen parameter calculated from these values is 1.511±0.026 for the single crystal, and 1.546±0.092 for the polycrystal, in good agreement with the value 1.52 calculated from bulk-property measurements. The polycrystalline third-order elastic constants are in very good agreement with those calculated from the single-crystal values by the method of Chang.

Bibliography

Graham, L. J., Nadler, H., & Chang, R. (1968). Third-Order Elastic Constants of Single-Crystal and Polycrystalline Columbium. Journal of Applied Physics, 39(7), 3025â3033.

Authors 3

L. J. Graham (first)
H. Nadler (additional)
Roger Chang (additional)

References 34 Referenced 55

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Dates

Type	When
Created	21 years, 6 months ago (Feb. 9, 2004, 11:55 a.m.)
Deposited	1 year, 7 months ago (Feb. 1, 2024, 7:41 p.m.)
Indexed	3 months, 4 weeks ago (May 3, 2025, 6:22 p.m.)
Issued	57 years, 3 months ago (June 1, 1968)
Published	57 years, 3 months ago (June 1, 1968)
Published Print	57 years, 3 months ago (June 1, 1968)

Funders 0

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BibTeX

@article{Graham_1968, title={Third-Order Elastic Constants of Single-Crystal and Polycrystalline Columbium}, volume={39}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.1656726}, DOI={10.1063/1.1656726}, number={7}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Graham, L. J. and Nadler, H. and Chang, Roger}, year={1968}, month=jun, pages={3025–3033} }

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  "abstract": "<jats:p>The second-order and third-order elastic constants for both single-crystal and polycrystalline columbium were determined at 298\u00b0K using an ultrasonic phase comparison method. It is shown that any dislocation contribution to the measurements is negligible with respect to other uncertainties. The third-order elastic constants (Brugger convention) in units of 1012 dyn/cm2 are c111=\u221225.64\u00b10.25;c144=\u22123.43\u00b10.10;\u03bd1=\u22124.8\u00b11.2;c112=\u221211.40\u00b10.25;c166=\u22121.677\u00b10.05;\u03bd2=\u22123.70\u00b10.2;c123=\u22124.67\u00b10.25;c456=+1.366\u00b10.05;\u03bd3=+0.75\u00b10.05.The Gr\u00fcneisen parameter calculated from these values is 1.511\u00b10.026 for the single crystal, and 1.546\u00b10.092 for the polycrystal, in good agreement with the value 1.52 calculated from bulk-property measurements. The polycrystalline third-order elastic constants are in very good agreement with those calculated from the single-crystal values by the method of Chang.</jats:p>",
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