Abstract
The measurement of wave velocity in a sample requires an accurate determination of the sample thickness at the points of interrogation. The theory of an automated technique is presented. In its application, the thickness of the sample is first calculated by the knowledge of the wave velocity in the immersion fluid. This thickness is then used to calculate the wave velocity in the sample. The results of the application of the technique to isotropic and anisotropic materials are presented.
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Abbreviations
- a, b :
-
distances, mm
- c :
-
wave velocity in the sample, mm/μs
- c w :
-
wave velocity in the surrounding fluid, mm/μs
- f :
-
frequency, Hz
- h :
-
sample thickness, mm
- k 0 :
-
wave number in water, mm−1
- k 1 :
-
wave number of a monochromatic harmonic wave wave in sample, mm−1
- t :
-
time, s
- F * :
-
Fourier transform of the displacement field, complex valued
- R :
-
reflection coefficients
- T :
-
transmission coefficients
- U :
-
displacement
- ρ:
-
density, g/mm3
- ϕ:
-
phase, radians
- ω:
-
circular frequency, radians/s
References
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Dayal, V. An automated simultaneous measurement of thickness and wave velocity by ultrasound. Experimental Mechanics 32, 197–202 (1992). https://doi.org/10.1007/BF02319355
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DOI: https://doi.org/10.1007/BF02319355