Acoustical wave propagation in a cylindrical layer system in viscous medium
A problem is considered of an acoustical wave propagating along a hollow infinite elastic cylinder filled with air and surrounded by a viscoelastic tissue. Such a case approximately corresponds to a biopsy performed with the application of a needle introduced to such tissues as liver, kidney, mus...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2015-07-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3129 |
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| author | Anna GRABOWSKA |
| author_facet | Anna GRABOWSKA |
| author_sort | Anna GRABOWSKA |
| collection | DOAJ |
| description | A problem is considered of an acoustical wave propagating along a hollow
infinite elastic cylinder filled with air and surrounded by a viscoelastic tissue.
Such a case approximately corresponds to a biopsy performed with the application of a needle introduced to such tissues as liver, kidney, muscles, and the like.
In the problem under consideration it was proved, that the volume viscosity
is significant, whereas shear viscosity can be neglected.
Basic equations were formulated in terms of displacement potentials, as
well as the boundary conditions. This led to a characteristic equation of the
problem which were solved numerically.
It was proved that a boundary wave propagates along the needle with
a velocity and attenuation not much smaller than in the surrounding tissue.
Part of the energy is transfered from the needle into the tissue where the energy
is dissipated. Distributions of the radial and axial stress components and radial
displacement components were found. |
| format | Article |
| id | doaj-art-479c1b020ecb4f6bbc1a4fc5b5f0a5f9 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2015-07-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-479c1b020ecb4f6bbc1a4fc5b5f0a5f92025-08-20T03:11:51ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2015-07-01114Acoustical wave propagation in a cylindrical layer system in viscous mediumAnna GRABOWSKA0Institute of Fundamental Technological Research. Polish Academy of SciencesA problem is considered of an acoustical wave propagating along a hollow infinite elastic cylinder filled with air and surrounded by a viscoelastic tissue. Such a case approximately corresponds to a biopsy performed with the application of a needle introduced to such tissues as liver, kidney, muscles, and the like. In the problem under consideration it was proved, that the volume viscosity is significant, whereas shear viscosity can be neglected. Basic equations were formulated in terms of displacement potentials, as well as the boundary conditions. This led to a characteristic equation of the problem which were solved numerically. It was proved that a boundary wave propagates along the needle with a velocity and attenuation not much smaller than in the surrounding tissue. Part of the energy is transfered from the needle into the tissue where the energy is dissipated. Distributions of the radial and axial stress components and radial displacement components were found.https://acoustics.ippt.pan.pl/index.php/aa/article/view/3129 |
| spellingShingle | Anna GRABOWSKA Acoustical wave propagation in a cylindrical layer system in viscous medium Archives of Acoustics |
| title | Acoustical wave propagation in a cylindrical layer system in viscous medium |
| title_full | Acoustical wave propagation in a cylindrical layer system in viscous medium |
| title_fullStr | Acoustical wave propagation in a cylindrical layer system in viscous medium |
| title_full_unstemmed | Acoustical wave propagation in a cylindrical layer system in viscous medium |
| title_short | Acoustical wave propagation in a cylindrical layer system in viscous medium |
| title_sort | acoustical wave propagation in a cylindrical layer system in viscous medium |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3129 |
| work_keys_str_mv | AT annagrabowska acousticalwavepropagationinacylindricallayersysteminviscousmedium |