Abstract
The models of wave propagation described in the previous Chapters have all treated the underlying fluids and/or solids as perfect, non-attenuating media. Real materials, however, do exhibit an attenuation that must be accounted for in any complete description of an ultrasonic measurement system. Since the processes that generate material attenuation are generally quite complex, we will not attempt to model those processes in detail from a fundamental standpoint. Instead we will use a simple phenomenological 1-D attenuation model that is coupled with detailed experimental measurements in an explicitly modeled calibration setup.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
V.M. Ristic, Principles of Acoustic Devices (Wiley, New York, 1983)
G.S. Kino, Acoustic Waves: Devices, Imaging, and Analog Signal Processing (Prentice Hall, Englewood Cliffs, 2007)
L.W. Schmerr, S.-J. Song, Ultrasonic Nondestructive Evaluation Systems—Models and Measurements (Springer, New York, 2007)
J.M.M. Pinkerton, A pulse method for the measurement of ultrasonic absorption in liquids: results for water. Nature 160, 128–129 (1947)
D.W. Fitting, L. Adler, Ultrasonic Spectral Analysis for Nondestructive Evaluation (Plenum Press, New York, 1981)
A.B. Bhatia, Ultrasonic Absorption (Dover, New York, 1967)
F.E. Stanke, G.S. Kino, A unified theory for elastic wave propagation in polycrystalline materials. J. Acoust. Soc. Am. 75, 665–681 (1984)
S. Ahmed, R.B. Thompson, Attenuation and dispersion of ultrasonic waves in rolled aluminum, in Review of Progress in Quantitative Nondestructive Evaluation, ed. by D.O. Thompson, D.E. Chimenti (New York, Plenum Press, 1998), pp. 1649–1655
A.I. Beltzer, N. Brauner, Shear waves in polycrystalline media and modifications of the Keller approximation. Int. J. Solids Struct. 23, 201–209 (1987)
M. Greenspan, Piston radiator: some extensions of the theory. J. Acoust. Soc. Am. 65, 608–621 (1979)
I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980)
P.H. Rogers, A.L. Van Buren, An exact expression for the Lommel diffraction correction integral. J. Acoust. Soc. Am. 55, 724–728 (1974)
A.S. Khimunin, Numerical calculation of the diffraction corrections for the precise measurement of ultrasonic absorption. Acustica 27, 173–181 (1972)
G.C. Benson, O. Kiyohara, Tabulation of some integral functions describing diffraction effects in the ultrasonic field of a circular piston source. J. Acoust. Soc. Am. 55, 184–185 (1974)
X.M. Tang, M.N. Toksoz, C.H. Cheng, Elastic radiation and diffraction of a piston source. J. Acoust. Soc. Am. 87, 1894–1902 (1990)
J. Krautkramer, H. Krautkramer, Ultrasonic Testing of Materials, 4th edn. (Springer, New York, 1990)
C.H. Chen, S.K. Sin, On effective spectrum-based ultrasonic deconvolution techniques for hidden flaw characterization. J. Acoust. Soc. Am. 87, 976–987 (1990)
X.M. Tang, M.N. Toksoz, P. Tarif, R.H. Wilkens, A method for measuring acoustic attenuation in the laboratory. J. Acoust. Soc. Am. 83, 453–462 (1988)
E. Schreiber, O.L. Anderson, N. Soga, Elastic Constants and Their Measurement (McGraw-Hill, New York, 1973)
W.C. Van Buskirk, S.C. Cowin, R. Carter, A theory of acoustic measurement of the elastic constants of a general anisotropic solid. J. Mater. Sci. 21, 2749–2762 (1986)
C. Aristegui, S. Baste, Determination of the elastic symmetry of a monolithic ceramic using bulk acoustic waves. J. Nondestruct. Eval. 19, 115–127 (2000)
M.F. Markham, Measurement of the elastic constants of fiber composites by ultrasonics. Composites 1, 145–149 (1970)
B. Castagnede, J.T. Jenkins, W. Sachse, S. Baste, Optimal determination of the elastic constants of composite materials from ultrasonic wave speed measurements. J. Appl. Phys. 67, 2753–2761 (1990)
C. Aristegui, S. Baste, Optimal determination of the material symmetry axes and associated elasticity tensor from ultrasonic velocity data. J. Acoust. Soc. Am. 102, 1503–1521 (1997)
C. Aristegui, S. Baste, Optimal recovery of the elasticity tensor of general anisotropic materials from ultrasonic velocity data. J. Acoust. Soc. Am. 101, 813–833 (1997)
M. Fink, W.A. Kuperman, J.P. Montagner, A. Tourin (eds.), Imaging of Complex Media with Acoustic and Seismic Waves (Springer, Heidelberg, 2002)
A. Sedov, L.W. Schmerr, Elastodynamic diffraction correction integrals. J. Acoust. Soc. Am. 86, 2000–2006 (1989)
D.H. Green, H.F. Wang, Shear wave diffraction loss for circular plane-polarized source and receiver. J. Acoust. Soc. Am. 90, 2697–2704 (1991)
D. Cassereau, D. Guyomar, Time deconvolution of diffraction effects—application to calibration and prediction of transducer waveforms. J. Acoust. Soc. Am. 84, 1073–1085 (1988)
D. Cassereau, D. Guyomar, Computation of the impulse diffraction of any obstacle by impulse ray modeling—prediction of the signal distortions. J. Acoust. Soc. Am. 84, 1504–1516 (1988)
A.R. Davies, On the maximum likelihood regularization of Fredholm convolution equations of the first kind, in Treatment of Integral Equations by Numerical Means, ed. by C.T.H. Baker, G.F. Miller (New York, Academic Press, 1982), pp. 95–105
T.L. Rhyne, Radiation coupling of a disk to a plane and back to a disk: an exact solution. J. Acoust. Soc. Am. 61, 318–324 (1977)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Schmerr, L.W. (2016). Material Properties and System Function Determination. In: Fundamentals of Ultrasonic Nondestructive Evaluation. Springer Series in Measurement Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-30463-2_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-30463-2_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-30461-8
Online ISBN: 978-3-319-30463-2
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)