Propagation of elastic wave in solid layer-liquid system
The paper presents the solution of the problem of a flat wave propagating without attenuation along a solid layer placed between a semispace filled with liquid and the vacuum. The wave equation of scalar and vector potentials of displacement has been solved for this case. A characteristic equation...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2016-03-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3356 |
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| _version_ | 1850104685465174016 |
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| author | Anna GRABOWSKA |
| author_facet | Anna GRABOWSKA |
| author_sort | Anna GRABOWSKA |
| collection | DOAJ |
| description | The paper presents the solution of the problem of a flat wave propagating without attenuation along a solid layer placed between a semispace filled with liquid and the vacuum.
The wave equation of scalar and vector potentials of displacement has been solved for this case. A characteristic equation accounting for boundary conditions has been derived. This equation has been solved numerically and it has been shown that in these conditions the wave can propagate at a velocity slightly smaller than the wave velocity in the liquid.
The distributions of stress, acoustic pressure, and displacement of the propagating wave have been determined numerically for a layer of a thickness a = 0.075 cm and a = 0.010 cm, contacting with water on one side, and for a frequency of 3 × 10^6 Hz. The type of wave is close to a surface wave. |
| format | Article |
| id | doaj-art-160556f6d1c94697b211301df8563501 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-160556f6d1c94697b211301df85635012025-08-20T02:39:16ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2016-03-0141Propagation of elastic wave in solid layer-liquid systemAnna GRABOWSKA0Institute of Fundamental Technological Research Polish Academy of SciencesThe paper presents the solution of the problem of a flat wave propagating without attenuation along a solid layer placed between a semispace filled with liquid and the vacuum. The wave equation of scalar and vector potentials of displacement has been solved for this case. A characteristic equation accounting for boundary conditions has been derived. This equation has been solved numerically and it has been shown that in these conditions the wave can propagate at a velocity slightly smaller than the wave velocity in the liquid. The distributions of stress, acoustic pressure, and displacement of the propagating wave have been determined numerically for a layer of a thickness a = 0.075 cm and a = 0.010 cm, contacting with water on one side, and for a frequency of 3 × 10^6 Hz. The type of wave is close to a surface wave.https://acoustics.ippt.pan.pl/index.php/aa/article/view/3356 |
| spellingShingle | Anna GRABOWSKA Propagation of elastic wave in solid layer-liquid system Archives of Acoustics |
| title | Propagation of elastic wave in solid layer-liquid system |
| title_full | Propagation of elastic wave in solid layer-liquid system |
| title_fullStr | Propagation of elastic wave in solid layer-liquid system |
| title_full_unstemmed | Propagation of elastic wave in solid layer-liquid system |
| title_short | Propagation of elastic wave in solid layer-liquid system |
| title_sort | propagation of elastic wave in solid layer liquid system |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3356 |
| work_keys_str_mv | AT annagrabowska propagationofelasticwaveinsolidlayerliquidsystem |