Waves propagating along a narrow crack in an elastic plate

Research output

2 Citations (Scopus)

Abstract

The classical point model of a crack [1] is valid only for cracks of widths exponentially small compared to the plate thickness: kW ≪ exp(-(kh)-8/5), where W is the crack width, h is the plate thickness, and k is the wave number. Therefore, generally speaking, the results obtained earlier for some systems with cracks should be reconsidered in terms of an improved model [2]. This paper presents the corresponding study of the edge waves described earlier for the case of an infinitely narrow crack [3]. A numerical study of the dispersion equations is performed for the wave numbers of symmetric and antisymmetric edge waves with different parameters of the plate-liquid system.

Original languageEnglish
Pages (from-to)393-397
Number of pages5
JournalAcoustical Physics
Volume45
Issue number4
Publication statusPublished - 1 Jul 1999

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elastic plates
cracks
liquids

Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

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Waves propagating along a narrow crack in an elastic plate. / Andronov, I. V.

In: Acoustical Physics, Vol. 45, No. 4, 01.07.1999, p. 393-397.

Research output

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N2 - The classical point model of a crack [1] is valid only for cracks of widths exponentially small compared to the plate thickness: kW ≪ exp(-(kh)-8/5), where W is the crack width, h is the plate thickness, and k is the wave number. Therefore, generally speaking, the results obtained earlier for some systems with cracks should be reconsidered in terms of an improved model [2]. This paper presents the corresponding study of the edge waves described earlier for the case of an infinitely narrow crack [3]. A numerical study of the dispersion equations is performed for the wave numbers of symmetric and antisymmetric edge waves with different parameters of the plate-liquid system.

AB - The classical point model of a crack [1] is valid only for cracks of widths exponentially small compared to the plate thickness: kW ≪ exp(-(kh)-8/5), where W is the crack width, h is the plate thickness, and k is the wave number. Therefore, generally speaking, the results obtained earlier for some systems with cracks should be reconsidered in terms of an improved model [2]. This paper presents the corresponding study of the edge waves described earlier for the case of an infinitely narrow crack [3]. A numerical study of the dispersion equations is performed for the wave numbers of symmetric and antisymmetric edge waves with different parameters of the plate-liquid system.

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