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Transient scattering of Rayleigh-Lamb waves by a surface-breaking crack: Comparison of numerical simulation and experiment

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Abstract

The transient scattering of Rayleigh-Lamb waves by a surface-breaking crack in a plate is investigated in both time and frequency domains by using the hybrid numerical method which combines the finite element discretization of the vicinity of the crack with the Green's function integral representation of the exterior scattered field. The frequency domain response is obtained by solving a set of large sparse unsymmetric complex matrix equations, elements of which are stored in a compacted data structure, by the biconjugate gradient method. The time domain solution is then obtained by using FFT. The source function generated by a steel ball impact is extracted by a direct integration technique. It is then used to simulate some available experimental results. Good agreement has been obtained. Numerical and experimental results show the effect of the crack more in the near field than far away.

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Authors and Affiliations

  1. Department of Mechanical Engineering, CIRES, and Center for Space Construction, University of Colorado, 80309-0427, Boulder, Colorado

    S. W. Liu, S. K. Datta & T. H. Ju

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  1. S. W. Liu
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  2. S. K. Datta
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  3. T. H. Ju
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Liu, S.W., Datta, S.K. & Ju, T.H. Transient scattering of Rayleigh-Lamb waves by a surface-breaking crack: Comparison of numerical simulation and experiment. J Nondestruct Eval 10, 111–126 (1991). https://doi.org/10.1007/BF00567442

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  • DOI: https://doi.org/10.1007/BF00567442

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