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Modelling of in-plane wave propagation in a plate using spectral element method and Kane–Mindlin theory with application to damage detection

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Abstract

This paper presents results of experimental and numerical analyses of in-plane waves propagating in a 5 mm-thick steel plate in the frequency range of 120–300 kHz. For such a thickness/frequency ratio, extensional waves reveal dispersive character. To model in-plane wave propagation taking into account the thickness-stretch effect, a novel 2D spectral element, based on the Kane–Mindlin theory, was formulated. An application of in-plane waves to damage detection is also discussed. Experimental investigations employing a laser vibrometer demonstrated that the position and length of a defect can precisely be identified by analysing reflected and diffracted waves.

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Authors and Affiliations

  1. Department of Structural Mechanics and Bridge Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland

    Magdalena Rucka

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  1. Magdalena Rucka
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Correspondence to Magdalena Rucka.

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Rucka, M. Modelling of in-plane wave propagation in a plate using spectral element method and Kane–Mindlin theory with application to damage detection. Arch Appl Mech 81, 1877–1888 (2011). https://doi.org/10.1007/s00419-011-0524-1

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  • DOI: https://doi.org/10.1007/s00419-011-0524-1

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