Estimation of dynamic elastic constants from the amplitude and velocity of Rayleigh waves.

In this paper a method is proposed to characterize the elasticity of isotropic linear materials from the generation and detection of an acoustic surface wave. For the calculation of the elastic constants, it is sufficient that only one of the faces of the sample be accessible. The methodology is based on both the measurement of the Rayleigh wave velocity and on the determination of the normal to longitudinal amplitude ratio calculated from the normal and longitudinal components of the displacement of a point. The detection of two consecutive surface wave pulses using a single experimental setup permits the determination of the elastic constants. The method is applied to calculate Young's modulus and Poisson's ratio of an aluminum sample as well as their systematic uncertainties. The results obtained give a relative uncertainty for Young's modulus on the order of the sixth part of that calculated for Poisson's ratio.

[1]  Frank Scherbaum,et al.  Love’s formula and H/V-ratio (ellipticity) of Rayleigh waves , 2004 .

[2]  C. K. Jen,et al.  Measurement of in-plane and out-of-plane ultrasonic displacements by optical heterodyne interferometry , 1989 .

[3]  F. Gascón,et al.  Determination of the elastic constants of isotropic solids by optical heterodyne interferometry , 1994 .

[4]  K. Y. Kim,et al.  Determination of the elastic constants of anisotropic materials using laser‐generated ultrasonic signals , 1991 .

[5]  Bi-xing Zhang,et al.  Elastic wave and excitation mechanism of surface waves in multilayered media , 1996 .

[6]  O. Anderson.  Rectangular parallelepiped resonance--a technique of resonance ultrasound and its applications to the determination of elasticity at high temperatures. , 1992, The Journal of the Acoustical Society of America.

[7]  T. Wu,et al.  A new method for measuring in situ concrete elastic constants using horizontally polarized conical transducers , 1997 .

[8]  M. Senoo,et al.  Measurement of the Elastic Constants of Polycrystals in a Cylindrical Specimen by the Resonance Method : Elastic Anisotropy of an Axisymmetrical Specimen and Measurements at Low and High Temperatures : Solid-Mechanics, Strength of Materials , 1987 .

[9]  K. Y. Kim,et al.  On the determination of sound speeds in cubic crystals and isotropic media using a broadband ultrasonic point‐source/point‐receiver method , 1993 .

[10]  L. Rayleigh.  On Waves Propagated along the Plane Surface of an Elastic Solid , 1885 .

[11]  Peter B. Nagy,et al.  Simplified expressions for the displacements and stresses produced by the Rayleigh wave , 1998 .

[12]  J. Chai,et al.  DETERMINATIONS OF ANISOTROPIC ELASTIC CONSTANTS USING LASER-GENERATED SURFACE WAVES , 1994 .

[13]  J. Monchalin,et al.  Precision laser-ultrasonic velocity measurement and elastic constant determination , 1989 .

[14]  D. Nkemzi.  A new formula for the velocity of Rayleigh waves , 1997 .

[15]  Harold H. Demarest,et al.  Cube‐Resonance Method to Determine the Elastic Constants of Solids , 1971 .