2009
DOI: 10.1121/1.3243464
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A special relation between Young’s modulus, Rayleigh-wave velocity, and Poisson’s ratio

Abstract: Bayon et al. [(2005). J. Acoust. Soc. Am. 117, 3469-3477] described a method for the determination of Young's modulus by measuring the Rayleigh-wave velocity and the ellipticity of Rayleigh waves, and found a peculiar almost linear relation between a non-dimensional quantity connecting Young's modulus, Rayleigh-wave velocity and density, and Poisson's ratio. The analytical reason for this special behavior remained unclear. It is demonstrated here that this behavior is a simple consequence of the mathematical f… Show more

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Cited by 15 publications
(7 citation statements)
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“…34 The value of RSAWs velocity depends primarily on the shear wave velocity, 35 therefore, RSAWs are related to the shear modulus and bulk modulus of elasticity through Poisson's ratio. 29,36 V(z) is sensitive to the presence of the variations in the microstructure and the related microelasticity that are mapped in a high intensity contrast, constructing a signature of the imaged materials. 26,14 Generally, the formation of V(z) curves for samples that involve soft tissues such as biological samples is influenced by the strong attenuation within these materials particularly at frequencies as high as 1 GHz.…”
Section: Resultsmentioning
confidence: 99%
“…34 The value of RSAWs velocity depends primarily on the shear wave velocity, 35 therefore, RSAWs are related to the shear modulus and bulk modulus of elasticity through Poisson's ratio. 29,36 V(z) is sensitive to the presence of the variations in the microstructure and the related microelasticity that are mapped in a high intensity contrast, constructing a signature of the imaged materials. 26,14 Generally, the formation of V(z) curves for samples that involve soft tissues such as biological samples is influenced by the strong attenuation within these materials particularly at frequencies as high as 1 GHz.…”
Section: Resultsmentioning
confidence: 99%
“…Parameter is a typical linear ultrasonic property that describes how the arrival time of the propagating ultrasonic wave in the material varies [ 34 ]. It directly correlates to the material density and linear elastic properties of the material that are affected by the porosity content and distribution [ 35 ], and the grain size and texture [ 30 ] and can be obtained as [ 36 ]: where is the ultrasonic propagation distance and is the arrival time of the ultrasonic wave.…”
Section: Description Of Ultrasonic Velocity Attenuation and Nonlinear...mentioning
confidence: 99%
“…In Table 2, the best fitting parameters, together with their least-squares uncertainties, are listed. Via the relations c T = c R (1 + ν)/(0.862 + 1.14ν) and E = 2ρc 2 T (1 + ν) [43,44], the Young's modulus E 1 and E 2 of the coating and substrate materials, respectively, were derived. For Poisson's ratio, have used ad hoc a value of 0.3, which is roughly equal to the value of T91 steel [1,42] and of FeCrAlY [45]).…”
Section: Local Acoustic Dispersion Curve Of Gesa Modified Samplementioning
confidence: 99%