Twisted elastic rings and the rediscoveries of Michell's instability
Elastic rings become unstable when sufficiently twisted. This fundamental instability plays an important role in the modeling of DNA mechanics and in cable engineering. In 1962, Zajac computed the value of the critical twist for the instability. This critical value was rediscovered in 1979 by Benham...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2006
|
| _version_ | 1797094046201544704 |
|---|---|
| author | Goriely, A |
| author_facet | Goriely, A |
| author_sort | Goriely, A |
| collection | OXFORD |
| description | Elastic rings become unstable when sufficiently twisted. This fundamental instability plays an important role in the modeling of DNA mechanics and in cable engineering. In 1962, Zajac computed the value of the critical twist for the instability. This critical value was rediscovered in 1979 by Benham and independently by Le Bret in elastic models for DNA; unstable rings have since become an important example of elastic instabilities in rods both for the development of new methods and in applications. The purpose of this note is to show that the problem had been completely solved by John Henry Michell in 1889 in a rather elegant manner and to reflect on its history and modern developments. © Springer Science+Business Media B.V. 2006. |
| first_indexed | 2024-03-07T04:08:41Z |
| format | Journal article |
| id | oxford-uuid:c7151897-2c55-4be8-a52a-e1f36a1548a0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:08:41Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:c7151897-2c55-4be8-a52a-e1f36a1548a02022-03-27T06:42:27ZTwisted elastic rings and the rediscoveries of Michell's instabilityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c7151897-2c55-4be8-a52a-e1f36a1548a0EnglishSymplectic Elements at Oxford2006Goriely, AElastic rings become unstable when sufficiently twisted. This fundamental instability plays an important role in the modeling of DNA mechanics and in cable engineering. In 1962, Zajac computed the value of the critical twist for the instability. This critical value was rediscovered in 1979 by Benham and independently by Le Bret in elastic models for DNA; unstable rings have since become an important example of elastic instabilities in rods both for the development of new methods and in applications. The purpose of this note is to show that the problem had been completely solved by John Henry Michell in 1889 in a rather elegant manner and to reflect on its history and modern developments. © Springer Science+Business Media B.V. 2006. |
| spellingShingle | Goriely, A Twisted elastic rings and the rediscoveries of Michell's instability |
| title | Twisted elastic rings and the rediscoveries of Michell's instability |
| title_full | Twisted elastic rings and the rediscoveries of Michell's instability |
| title_fullStr | Twisted elastic rings and the rediscoveries of Michell's instability |
| title_full_unstemmed | Twisted elastic rings and the rediscoveries of Michell's instability |
| title_short | Twisted elastic rings and the rediscoveries of Michell's instability |
| title_sort | twisted elastic rings and the rediscoveries of michell s instability |
| work_keys_str_mv | AT gorielya twistedelasticringsandtherediscoveriesofmichellsinstability |