TITLE

Ultrasonic measurement of through-thickness stress gradients in textured sheet metals

AUTHOR(S)
Man, Chi-Sing; Li, Jianbo; Lu, Wei-Yang; Fan, Xingyan
PUB. DATE
May 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 509 Issue 1, p1613
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The objective of this investigation is to explore the possibility of using the dispersion of high-frequency Rayleigh waves for the evaluation of through-thickness stress gradients at the surface of metal sheets. We consider an orthorhombic sheet of cubic metal with through-thickness inhomogeneities in stress and texture, and adopt a coordinate system under which the rolling (RD), transverse (TD), and normal direction (ND) of the sheet are taken as the 1-, 2-, and 3-direction, respectively. We restrict our attention to the special case where only the stress components T[sub 11](x[sub 3]) and T[sub 22](x[sub 3]) in the sheet are nonzero, and consider only Rayleigh waves of sufficiently high frequency for which the sheet can be taken as the half-space x[sub 3]>=0. For Rayleigh waves of two different frequencies (with wave numbers k[sub 1] and k k[sub 2] respectively) propagating on the same wave path along either RD or TD, we appeal to an analysis of J. Li and Man to obtain a high-frequency asymptotic formula which gives the relative change in time-of-flight Δt/t[sub 0] as (1/k[sub 1]-1/k[sub 2]) times a linear combination of the derivatives T[sub 11][sup ′](0), T[sub 22][sup ′](0), W[sub 4m0][sup ′](0)(m=0,2,4) and W[sub 6m0](0)(m=0,2,4,6) at the surface are ascertained and the material constants in the acoustoelastic consitutive equation of this polycrystal are known. An experiment was performed on an AA7075-T651 aluminum alloy beam, in which Δt/t[sub 0] was measured for various values of T[sub 11](0) and T[sub 11][sup ′](0) produced by beam bending (with (T[sub 22]≡0). The relevant texture coefficients of the beam were measured by X-ray diffraction. To obtain specific predictions from the aforementioned symptotic formula, we replace the material constants of the sample by their counterparts predicted for polycrystalline (pure) aluminum by the Man-Paroni model. The predictions and Δt/t[sub 0] are then compar...
ACCESSION #
6029213

 

Related Articles

  • Laser-generated pseudo-Rayleigh acoustic wave propagating along the edge of a thin plate. Jia, X.; Auribault, D. // Journal of Applied Physics;9/1/1996, Vol. 80 Issue 5, p2595 

    Presents a study that investigated propagation characteristics of pseudo-Rayleigh wave properties using noncontact, pointlike and wide-band laser ultrasonic technique. Background on the use of laser techniques for ultrasonic measurements; Dispersion behavior of phase velocity; Analysis of wave...

  • Rayleigh Wave Dispersion and Attenuation on a Statistically Rough Free Surface of a Hexagonal Crystal. Kosachev, V. V.; Gandurin, Yu. N. // Physics of the Solid State;Feb2003, Vol. 45 Issue 2, p391 

    Dispersion and attenuation of Rayleigh surface acoustic waves on a statistically rough free surface of a Z-cut hexagonal crystal were analytically studied using a modified mean-field method within the perturbation theory. Numerical calculations were carried out in the frequency range accessible...

  • Dispersion and Attenuation of Rayleigh Waves at a One-Dimensional Random Roughness of the Free Surface of a Hexagonal Crystal. Kosachev, V.V.; Gandurin, Yu.N. // Physics of the Solid State;Sep2003, Vol. 45 Issue 9, p1808 

    Analytical expressions are derived for dispersion and attenuation of Rayleigh waves propagating along the statistically rough free surface of a hexagonal crystal (Z cut). The roughness under consideration is one-dimensional (the profile function of the roughness depends on one coordinate) and...

  • Asymptotic representations of the dispersion relation for a two-ply, pre-stressed incompressible elastic laminate. Rogerson, G.A.; Sandiford, K.J. // Acta Mechanica;2000, Vol. 143 Issue 3/4, p179 

    Examines the dispersion relation associated with amplitude waves in a bonded elastic structure. Indication of asymptotic expansion; Domain of linear stability; Observation of the flexural and extensional problems.

  • Surface waves supported by thin-film/substrate interactions. Steigmann, D. J.; Ogden, R. W. // IMA Journal of Applied Mathematics;Dec2007, Vol. 72 Issue 6, p730 

    A systematic approximation to the linear equations for small-amplitude surface waves in an elastic half space, interacting with a residually stressed thin film of different material bonded to its plane boundary, is developed in powers of the film thickness, assuming the latter to be small...

  • Asymptotic and numerical models of waves in tunable multi-scale structures. Movchan, A. B.; Jones, I. S. // Continuum Mechanics & Thermodynamics;Sep2010, Vol. 22 Issue 6-8, p531 

    The paper presents asymptotic models and numerical illustrations of periodic systems which possess band gaps and support standing waves at low frequencies. The structures considered here include periodic systems of defects (cracks or resonators of different types). Tuning mechanisms are...

  • Third-order dispersion energy from response functions. Pernal, Katarzyna; Szalewicz, Krzysztof // Journal of Chemical Physics;1/21/2009, Vol. 130 Issue 3, pN.PAG 

    In the second order of perturbation theory, the dispersion component of the interaction energy of two atoms or molecules can be expressed as an integral of frequency-dependent response functions of monomers. An analogous formula is derived here for the third-order dispersion energies. The...

  • Rayleigh-Wave Dispersive Energy Imaging Using a High-Resolution Linear Radon Transform. Yinhe Luo; Jianghai Xia; Miller, Richard D.; Yixian Xu; Jiangping Liu; Qingsheng Liu // Pure & Applied Geophysics;May2008, Vol. 165 Issue 5, p903 

    Multichannel Analysis of Surface Waves (MASW) analysis is an efficient tool to obtain the vertical shear-wave profile. One of the key steps in the MASW method is to generate an image of dispersive energy in the frequency-velocity domain, so dispersion curves can be determined by picking peaks of...

  • Caveats in Multi-modal Inversion of Seismic Surface Wavefields. Levshin, A. L.; Panza, G. F. // Pure & Applied Geophysics;Jul2006, Vol. 163 Issue 7, p1215 

    We consider several examples demonstrating that the formal modal representation of surface wavefields often does not describe adequately observable wave parameters, such as the phase and group velocity dispersion of higher modes. The main reason for this is the existence in the medium of several...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics