### 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 language | English |
---|---|

Pages (from-to) | 393-397 |

Number of pages | 5 |

Journal | Acoustical Physics |

Volume | 45 |

Issue number | 4 |

Publication status | Published - 1 Jul 1999 |

### Fingerprint

### Scopus subject areas

- Acoustics and Ultrasonics

### Cite this

*Acoustical Physics*,

*45*(4), 393-397.

}

*Acoustical Physics*, vol. 45, no. 4, pp. 393-397.

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

Research output

TY - JOUR

T1 - Waves propagating along a narrow crack in an elastic plate

AU - Andronov, I. V.

PY - 1999/7/1

Y1 - 1999/7/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0033164790&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033164790

VL - 45

SP - 393

EP - 397

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 4

ER -