Seismic invisibility: elastic wave cloaking via symmetrized transformation media
Transformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat’s principle of least action), provides a means of controlling vibrations and elastic waves beyond the traditional dissipative structures regime. In particular, it could be use...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aac7ab |
| _version_ | 1797750677240283136 |
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| author | Sophia R Sklan Ronald Y S Pak Baowen Li |
| author_facet | Sophia R Sklan Ronald Y S Pak Baowen Li |
| author_sort | Sophia R Sklan |
| collection | DOAJ |
| description | Transformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat’s principle of least action), provides a means of controlling vibrations and elastic waves beyond the traditional dissipative structures regime. In particular, it could be used to create an elastic wave cloak, shielding an interior region against elastic waves while simultaneously preventing scattering in the outside domain. However, as a true elastic wave cloak would generally require materials with stiffness tensors lacking the minor symmetry (implying asymmetric stress), the utility of such an elastic wave cloak has thus far been limited by the challenge of fabricating these materials. Here we develop a means of overcoming this limitation via the development of a symmetrized elastic cloak (SEC), sacrificing some of the performance of the perfect cloak for the sake of restoring the minor symmetry. We test the performance of the SEC for shielding a tunnel against seismic waves, showing that it can be used to reduce the average displacement within the tunnel by an order of magnitude (and reduce energy by two orders of magnitude) for waves above a critical frequency of the cloak. This critical frequency, which corresponds to the generation of surface waves at the cloak-interior interface, can be used to develop a simple heuristic model of the SEC’s performance for a generic problem. |
| first_indexed | 2024-03-12T16:36:18Z |
| format | Article |
| id | doaj.art-41497a4a17834f649800dcf72568cce4 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:18Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-41497a4a17834f649800dcf72568cce42023-08-08T14:51:11ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120606301310.1088/1367-2630/aac7abSeismic invisibility: elastic wave cloaking via symmetrized transformation mediaSophia R Sklan0https://orcid.org/0000-0001-7954-2029Ronald Y S Pak1Baowen Li2Department of Mechanical Engineering, University of Colorado Boulder , CO 80309, United States of AmericaDepartment of Civil Engineering, University of Colorado Boulder , CO 80309, United States of AmericaDepartment of Mechanical Engineering, University of Colorado Boulder , CO 80309, United States of AmericaTransformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat’s principle of least action), provides a means of controlling vibrations and elastic waves beyond the traditional dissipative structures regime. In particular, it could be used to create an elastic wave cloak, shielding an interior region against elastic waves while simultaneously preventing scattering in the outside domain. However, as a true elastic wave cloak would generally require materials with stiffness tensors lacking the minor symmetry (implying asymmetric stress), the utility of such an elastic wave cloak has thus far been limited by the challenge of fabricating these materials. Here we develop a means of overcoming this limitation via the development of a symmetrized elastic cloak (SEC), sacrificing some of the performance of the perfect cloak for the sake of restoring the minor symmetry. We test the performance of the SEC for shielding a tunnel against seismic waves, showing that it can be used to reduce the average displacement within the tunnel by an order of magnitude (and reduce energy by two orders of magnitude) for waves above a critical frequency of the cloak. This critical frequency, which corresponds to the generation of surface waves at the cloak-interior interface, can be used to develop a simple heuristic model of the SEC’s performance for a generic problem.https://doi.org/10.1088/1367-2630/aac7abelastic wavescloaksvibration isolationearthquake engineering |
| spellingShingle | Sophia R Sklan Ronald Y S Pak Baowen Li Seismic invisibility: elastic wave cloaking via symmetrized transformation media New Journal of Physics elastic waves cloaks vibration isolation earthquake engineering |
| title | Seismic invisibility: elastic wave cloaking via symmetrized transformation media |
| title_full | Seismic invisibility: elastic wave cloaking via symmetrized transformation media |
| title_fullStr | Seismic invisibility: elastic wave cloaking via symmetrized transformation media |
| title_full_unstemmed | Seismic invisibility: elastic wave cloaking via symmetrized transformation media |
| title_short | Seismic invisibility: elastic wave cloaking via symmetrized transformation media |
| title_sort | seismic invisibility elastic wave cloaking via symmetrized transformation media |
| topic | elastic waves cloaks vibration isolation earthquake engineering |
| url | https://doi.org/10.1088/1367-2630/aac7ab |
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