Resonance blocking of traveling waves by a system of cracks in an elastic layer.

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Title: Resonance blocking of traveling waves by a system of cracks in an elastic layer.
Authors: Glushkov, E. V.1 evg@math.kubsu.ru, Glushkova, N. V.1, Golub, M. V.1, Zhang, Ch.2
Source: Acoustical Physics. Jan2009, Vol. 55 Issue 1, p8-16. 9p. 1 Diagram, 5 Graphs.
Subjects: Elastic wave diffraction, Waveguides, Resonance, Spectrum analysis, Fourier transforms
Abstract: Wave processes that occur in an elastic layer when waves traveling in it are diffracted by a system of horizontal cracks are investigated. Integral representations of wave fields are constructed in terms of the convolution of Green’s matrices and unknown jumps of displacements at the cracks. The displacement jumps are determined from the boundary integral equations, which are obtained from the initial boundary-value problem with the boundary conditions at crack faces being satisfied. The spectrum of the integral operator is studied for different variants of mutual crack arrangement and is compared with the spectrum of the corresponding operators for individual cracks; the relationship between the spectrum and the blocking effects is analyzed. The possibility of obtaining an extended frequency band of waveguide blocking in the case of groups of cracks is demonstrated. [ABSTRACT FROM AUTHOR]
Copyright of Acoustical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Acoustical+Physics%22">Acoustical Physics</searchLink>. Jan2009, Vol. 55 Issue 1, p8-16. 9p. 1 Diagram, 5 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Elastic+wave+diffraction%22">Elastic wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Waveguides%22">Waveguides</searchLink><br /><searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Spectrum+analysis%22">Spectrum analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink>
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  Data: Wave processes that occur in an elastic layer when waves traveling in it are diffracted by a system of horizontal cracks are investigated. Integral representations of wave fields are constructed in terms of the convolution of Green’s matrices and unknown jumps of displacements at the cracks. The displacement jumps are determined from the boundary integral equations, which are obtained from the initial boundary-value problem with the boundary conditions at crack faces being satisfied. The spectrum of the integral operator is studied for different variants of mutual crack arrangement and is compared with the spectrum of the corresponding operators for individual cracks; the relationship between the spectrum and the blocking effects is analyzed. The possibility of obtaining an extended frequency band of waveguide blocking in the case of groups of cracks is demonstrated. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Acoustical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Resonance
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              Text: Jan2009
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