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1998
DOI: 10.1121/1.423332
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Lamb waves in highly attenuative plastic plates

Abstract: The influence of material attenuation on Lamb wave dispersion behavior has been studied analytically. As the attenuation is increased, keeping the ratio of the bulk longitudinal to bulk shear wave attenuation constant at the value measured in high-density polyethylene, the degree of coupling between the shear and longitudinal partial waves decreases and the phase velocity dispersion curves for different modes of the same symmetry can cross; this is not possible for an elastic plate. With increasing attenuation… Show more

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Cited by 60 publications
(37 citation statements)
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“…For a pipe of inner radius 1 a and outer radius 1 b , and uniform defect of outer radius 2 a , the plane wave reflection coefficient pw Λ is given as The mode matching predictions shown in Fig. 3 were obtained using only 6 quadratic finite elements, which is sufficient to deliver convergence to two decimal places for the reflection coefficient at a frequency of 150 kHz.…”
Section: Uncoated Pipementioning
confidence: 99%
See 2 more Smart Citations
“…For a pipe of inner radius 1 a and outer radius 1 b , and uniform defect of outer radius 2 a , the plane wave reflection coefficient pw Λ is given as The mode matching predictions shown in Fig. 3 were obtained using only 6 quadratic finite elements, which is sufficient to deliver convergence to two decimal places for the reflection coefficient at a frequency of 150 kHz.…”
Section: Uncoated Pipementioning
confidence: 99%
“…Barshinger and Rose [2] extended the work to the analysis of a number of viscoelastic layers and published dispersion curves for a steel pipe coated with epoxy. Both Chan and Cawley [1] and Barshinger and Rose [2] use analytic techniques to derive the governing dispersion relation, and Barshinger and Rose later discuss the problems this presents when it comes to finding the roots of this equation. Here, the addition of a viscoelastic layer means that the roots of the dispersion relation are complex and it is much harder to locate these roots in the complex plane (see also Simonetti and Cawley [3] for a discussion on coated plates).…”
Section: Introductionmentioning
confidence: 99%
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“…Additionally, Lamb waves can have relatively low attenuation over long distances relative to bulk waves [9,10]. However, GW methods must contend with the dispersive and multi-modal nature of GW.…”
Section: Introductionmentioning
confidence: 99%
“…Deschmps et al [17] have studied acoustic emission and reflection in an anisotropic plate. Chan and Cawley [18] have discussed the effect on Lame waves brought about by viscosity through changing imaginary part of phase velocity. Bernard and Lowe [19] have studied the velocity of energy propagation in a visco-elastic plate.…”
Section: Introductionmentioning
confidence: 99%