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Elastic waves trapped above a cylindrical cavity
The existence of trapped elastic waves above a circular cylindrical cavity in a half space is demonstrated. These modes propagate parallel to the cylinder and their amplitude decays exponentially as the observer moves away from it. Dispersion relations connecting the frequency with the wavenumber al...
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| Main Authors: | , |
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| Format: | Default Article |
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2018
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| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/33624 |
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| _version_ | 1818169581250805760 |
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| author | Christopher Linton Ian Thompson |
| author_facet | Christopher Linton Ian Thompson |
| author_sort | Christopher Linton (1254795) |
| collection | Figshare |
| description | The existence of trapped elastic waves above a circular cylindrical cavity in a half space is demonstrated. These modes propagate parallel to the cylinder and their amplitude decays exponentially as the observer moves away from it. Dispersion relations connecting the frequency with the wavenumber along the cylinder are obtained using an analytical technique based on multipole expansions, and solved numerically. Critical frequencies at which modes cut on and off are determined and a range of contour plots illustrating the displacement fields are presented. |
| format | Default Article |
| id | rr-article-9386114 |
| institution | Loughborough University |
| publishDate | 2018 |
| record_format | Figshare |
| spelling | rr-article-93861142018-01-01T00:00:00Z Elastic waves trapped above a cylindrical cavity Christopher Linton (1254795) Ian Thompson (3251307) Other mathematical sciences not elsewhere classified Elastic waves Trapped modes Wave diffraction Multipole expansions Mathematical Sciences not elsewhere classified The existence of trapped elastic waves above a circular cylindrical cavity in a half space is demonstrated. These modes propagate parallel to the cylinder and their amplitude decays exponentially as the observer moves away from it. Dispersion relations connecting the frequency with the wavenumber along the cylinder are obtained using an analytical technique based on multipole expansions, and solved numerically. Critical frequencies at which modes cut on and off are determined and a range of contour plots illustrating the displacement fields are presented. 2018-01-01T00:00:00Z Text Journal contribution 2134/33624 https://figshare.com/articles/journal_contribution/Elastic_waves_trapped_above_a_cylindrical_cavity/9386114 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified Elastic waves Trapped modes Wave diffraction Multipole expansions Mathematical Sciences not elsewhere classified Christopher Linton Ian Thompson Elastic waves trapped above a cylindrical cavity |
| title | Elastic waves trapped above a cylindrical cavity |
| title_full | Elastic waves trapped above a cylindrical cavity |
| title_fullStr | Elastic waves trapped above a cylindrical cavity |
| title_full_unstemmed | Elastic waves trapped above a cylindrical cavity |
| title_short | Elastic waves trapped above a cylindrical cavity |
| title_sort | elastic waves trapped above a cylindrical cavity |
| topic | Other mathematical sciences not elsewhere classified Elastic waves Trapped modes Wave diffraction Multipole expansions Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/33624 |