1979
DOI: 10.1063/1.326268
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Acoustoelastic imaging of stress fields

Abstract: An acoustic technique for measuring inhomogeneous stress in externally loaded solids is described. This method requires a measurement of transit time of a longitudinal acoustic wave through a stressed thin metal specimen using a small-diameter water-coupled acoustic transducer. The transducer is mechanically scanned over the surface of the sample by a computer-controlled system and transit-time measurements are made at discrete points. Predictions of velocity variation with stress using the theory of nonlinear… Show more

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Cited by 46 publications
(11 citation statements)
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“…To obtain the synthetic set of data points we assume that the second and third order elastic constants are known. For a given stressed state, Cij can be found assuming that the material is hyperelastic and the velocities can be determined from the Christoffel equation (5). Different levels of random scattering are introduced into this velocity data and this data set is used for the reconstruction of effective elastic constants and stresses.…”
Section: Simulation Resultsmentioning
confidence: 99%
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“…To obtain the synthetic set of data points we assume that the second and third order elastic constants are known. For a given stressed state, Cij can be found assuming that the material is hyperelastic and the velocities can be determined from the Christoffel equation (5). Different levels of random scattering are introduced into this velocity data and this data set is used for the reconstruction of effective elastic constants and stresses.…”
Section: Simulation Resultsmentioning
confidence: 99%
“…(2) can be written in component form: (3) The stress (J"ij can be both applied and residual since there is no restriction that the resulting deformation be elastic. Now assuming that the material and local (over the size of the transducer) stress are homogeneous and using a plane wave solution for u u = peik(ll.X-vl) (4) where p is the unit vector in the direction of particle motion, k is the wave number and n is the unit vector in the direction of wave propagation, one has the Christoffel equation for an anisotropic material under stress: (5) Eq. (5) Eq.…”
Section: Christoffel Equation In Stressed Mediamentioning
confidence: 99%
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“…Acoustoelastic methods based on phase velocity variations have found a variety of applications in the nondestructive evaluation of materials. [1][2][3][4][5][6] Crecraft exploited the birefringence of shear waves to estimate residual stresses. 1 Egle and Bray used acoustoelasticity to measure the stress-dependent elastic properties of steel used in railway applications.…”
Section: Introductionmentioning
confidence: 99%
“…1-11) But, the coupling of the transducer to the specimen causes some dif ficulty.Non-contact water immersion method [12][13][14] ensures stability and repeatability of the ultrasonic velocity measurement. In this paper are reported measurement of stress effect to ultrasonic velocity of solid materials and mechanical anisotropy 13-15) of them by water immersion sing-around method.16) If the incidence angle from water to the specimen is above the critical angle of the compressional wave, only shear wave travels in the solid material by mode conversion at the water-solid interface.…”
Section: Introductionmentioning
confidence: 99%