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Steady-state vibrations of a thin two-layer plate with delamination

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Abstract

We consider the problem of harmonic vibrations of a thin two-layer plate with horizontal crack. The problem is solved with the help of the null-field approach. The influence of the shape of the crack contour on the amplitude-frequency characteristics of plate vibrations is investigated.

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References

  1. V. D. Baisa, Ya. I. Kunets, V. V. Matus, and A. P. Poddubnyak, “Steady-state vibrations of a two-layer packet with delamination,”Tekh. Diagnostikai Nerazrushayushchii Kontrol', No. 4, 9–14 (1993).

    Google Scholar 

  2. V. D. Baisa, A. I. Tsykhan, P. A. Gnatkovich, and O. S. Shikh, “Nondestructive testing of peelings of composite coatings,”Tekh. Diagnostika Nerazrushayushchii Kontrol', No. 2, 86–89 (1990).

    Google Scholar 

  3. R. G. Barantsev, “The method of separation of variables in the problem of scattering by a body of arbitrary shape,”Dokl. Akad. Nauk SSSR,147, No. 3, 569–570 (1962).

    Google Scholar 

  4. G. Duvaut and J.-L. Lions,Les Inéquations en Méchanique et Physique, Dunod, Paris (1972).

    Google Scholar 

  5. D. D. Zakharov and I. V. Simonov,Steady-State Vibrations of a Two-Layer Elastic Plate with Normally Loaded Disk-Shaped Crack at the Interface between the Layers, Preprint No. 422 Institute of Problems of Mechanics, USSR Acad. Sci., Moscow (1989).

    Google Scholar 

  6. B. G. Korenev,Introduction to the Theory of Bessel Functions [in Russian], Nauka, Moscow (1971).

    MATH  Google Scholar 

  7. V. V. Matus, “Application of the null-field approach to the calculation of flexural vibrations of thin plates,”Mashynoznavstvo, No. 3, 27–29 (1998).

    Google Scholar 

  8. R. H. T. Bates and D. S. H. Wall, “Null field approach to scalar diffraction,”Phil. Trans. Roy. Soc. London, Ser. A,287 No. 1339, 45–114 (1977).

    Article  MathSciNet  Google Scholar 

  9. P. C. Waterman, “New formulation of acoustic scattering,”J. Acoust. Soc. Amer.,45, No. 6, 1417–1429 (1968).

    Article  Google Scholar 

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Authors
  1. V. V. Matus
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  2. V. V. Porokhovs'kyi
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 2, pp. 83–89, April–June, 1998.

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Matus, V.V., Porokhovs'kyi, V.V. Steady-state vibrations of a thin two-layer plate with delamination. J Math Sci 99, 1616–1624 (2000). https://doi.org/10.1007/BF02674184

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  • DOI: https://doi.org/10.1007/BF02674184

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