Zero Group Velocity Resonances of Three Layer Plates for Bonding Evaluation

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2016-01-01
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Bruno, François
Mezil, Sylvain
Laurent, Jérôme
Royer, Daniel
Ducousso, Mathieu
Prada, Claire
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Review of Progress in Quantitative Nondestructive Evaluation
Center for Nondestructive Evaluation

Begun in 1973, the Review of Progress in Quantitative Nondestructive Evaluation (QNDE) is the premier international NDE meeting designed to provide an interface between research and early engineering through the presentation of current ideas and results focused on facilitating a rapid transfer to engineering development.

This site provides free, public access to papers presented at the annual QNDE conference between 1983 and 1999, and abstracts for papers presented at the conference since 2001.

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Abstract

Lamb waves in plates are strongly dispersive. For some branches of the dispersion curves ω(k), a minimum occurs at a non-zero wavenumber k, corresponding to a Zero Group Velocity (ZGV) Lamb mode. Such ZGV modes also exist in multi-layer plates and depend on the quality of the bonding. Because the group velocities of these modes vanishe, after a local impact, the energy remains trapped under the source resulting in sharp resonances. Laser based ultrasonic techniques offer a unique tool to observe these resonances. When the layer thickness is small compared with the plate thickness and the acoustic wavelength, the coupling layer can be modeled by a normal and a tangential spring to take into account the normal and shear interfacial stresses [1]. For greater layer thicknesses, the three layer model was used [2], taking into account normal and tangential springs at both interfaces. Under certains hypothesis, such spring stiffnesses can be evaluated from ZGV frequencies [3]. Theoretical results are illustrated through measurements conducted on several samples made of couple of millimeter thick metal plates bonded with submillimetric glue layer. Eventually, spring stiffnesses measurements are realized into samples with different controled bond strengths provided by Safran Tech.

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