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http://dx.doi.org/10.7779/JKSNT.2012.33.1.14

Measurement of Ultrasonic Nonlinearity Parameter of Fused Silica and Al2024-T4  

Kang, To (School of Mechanical Engineering, Sungkyunkwan University)
Lee, Taekgyu (School of Mechanical Engineering, Sungkyunkwan University)
Song, Sung-Jin (School of Mechanical Engineering, Sungkyunkwan University)
Kim, Hak-Joon (School of Mechanical Engineering, Sungkyunkwan University)
Publication Information
Journal of the Korean Society for Nondestructive Testing / v.33, no.1, 2013 , pp. 14-19 More about this Journal
Abstract
Nonlinearity parameter is an inherent property of materials measuring fundamental acoustic amplitude($A_1$) and second harmonic amplitude($A_2$). However, measurement of $A_1$ and $A_2$ has complex calibration procedure, many researchers prefer to measure relative nonlinearity parameter rather than absolute nonlinearity parameter. But, relative nonlinearity parameter is only detect materials degradation with various degradation samples, it is limited application in determining third order elastic constants of materials. Therefore, in this study, the piezoelectric detection method is adopted to measure absolute nonlinearity parameter due to experimental simplicity compare to capacitive detector. Linearity of measurement system is verified by $A_1^2vsA_2$ plot, and we measured ultrasonic nonlinearity parameters of fused silica and Al2024-T4.
Keywords
Nonlinearity Parameter; Piezoelectic Detection; Capacitive Detector;
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  • Reference
1 M. A. Breazeale and D. O. Thompson, "Finite-amplitude ultrasonic waves in aluminum," Applied Physics Letters, Vol. 3, No. 5, pp. 77-78 (1963)   DOI
2 M. A. Breazeale and J. Ford, "Ultrasonic studies of the nonlinear behavior of solids," Journal of Applied Physics, Vol. 36, No. 11, pp. 3486-3490 (1965)   DOI
3 W. B. Gauster and M. A. Breazeale, "Detector for measurement of ultrasonic strain amplitudes in solids," Review of Scientific Instruments, Vol. 37, No. 11, pp. 1544-1548 (1966)   DOI
4 G. E. Dace, R. B. Thompson and O. Buck, "Measurement of the acoustic harmonic generation for materials characterization using contact transducers," Review of Progress Quantitative Nondestructive Evaluation, Vol. 11, pp. 2069-2076 (1992)
5 D. C. Hurely and C. M. Fortunko, "Ultrasonic parameter ${\beta}$ using a Michelson interferometer," Measurement Science and Technology, Vol. 8, pp. 634-642 (1997)   DOI   ScienceOn
6 R. E. Green, "Treatise on Materials Science and Technology," Chapter III, Academic, New York and London, Vol. 3 (1974)
7 K. Brugger, "Third-order elastic constants and the velocity of small amplitude elastic waves in homogeneously stressed media," Physical Review, Vol. 134, pp. A981-997 (1964)   DOI
8 J. K. Na and M. A. Breazeale, "Ultrasonic nonlinear properties of lead zirconate-titanate ceramics," Journal of the Acoustical Society of America, Vol. 95 No. 6, pp. 3213-3221 (1994)   DOI   ScienceOn
9 R. Truell, C. Elbaum and B. B. Chick, "Ultrasonic methods in solid state physics," Academic Press, New York and London (1969)
10 W. T. Yost and M. A. Breazeale, "Adiabatic third-order elastic constants of fused silica," Journal of Applied Physics, Vol. 44, No. 4. pp. 1909-1910 (1973)   DOI
11 R. A. Graham, "Determination of third-and fourth-order longitudinal elastic constants by shock compression techniques-Application to Sapphire and Fused Quartz," Journal of the Acoustical Society of America, Vol. 51, No. 5, pp. 1576-1581 (1972)   DOI
12 E. H. Bohardus, "Third order elastic constants of Ge, MgO, and Fused $SiO_2$," Journal of Applied Physics, Vol. 36, No. 8, pp. 2504- 2513 (1965)   DOI
13 P. Li, W. T. Yost, J. H. Cantrell and K. Salama, "Dependence of acoustic nonlinearity parameter on second phase precipitates of aluminum alloys," Ultrasonic Symposium, pp. 1113-1115 (1985)
14 D. J. Barnard, "Variation of nonlienarity parameter at low fundamental amplitudes," Applied Physics Letters, Vol. 74, No. 17, pp. 2447-2449 (1999)   DOI   ScienceOn
15 J. H. Cantrell, "Nonlinear dislocation dynamics at ultrasonic frequencies," Journal of Applied Physics, Vol. 105, No. 4, pp. 043520-1-7 (2009)   DOI   ScienceOn
16 Y. L. Hinton, J. K. Na, W. T. Yost and G. L. Kessel, "Field measurement of the acoustic nonlinearity parameter in turbine blades," NASA Center for Aerospace Information, pp. 1-7 (2000)
17 J. K. Na, W. T. Yost, J. H. Cantrell and G. L. Kessel, "Effects of surface roughness and nonparallelism on the measurement of the acoustic nonlinearity parameter in steam turbine blades," Review of Progress in Quantitative Nondestructive Evaluation, Vol 19, pp. 1417-1424 (1999)