journal article·2024-03

On infinite group velocity in composite plates

Sergey V Kuznetsov

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Abstract

The analytical and geometrical conditions for the possible appearance of the infinite group velocity (IGV) points belonging to the dispersion curves of Lamb waves propagating in traction-free plates are studied by a combined method comprising Cauchy sextic formalism and the exponential fundamental matrix method. According to the obtained geometrical condition, the IGV corresponds to the coincidence of a tangent line to any of the dispersion curves with a straight line passing through the origin. The developed technique is demonstrated by applying to the analysis of Lamb wave dispersion in three-layered plates with a soft inner core.
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Research context

OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Advanced Fiber Optic Sensors · Railway Engineering and Dynamics

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Affiliations

Moscow State University of Civil Engineering, Moscow, Russia

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