Stability estimates for a twisted rod under terminal loads: a three-dimensional study
The stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. A self-contained proof in terms of local energy minimizers is presented and optimal bounds are obtained for the problem.
| Main Authors: | , , |
|---|---|
| 格式: | Journal article |
| 出版: |
2011
|
| _version_ | 1826283203539763200 |
|---|---|
| author | Majumdar, A Prior, C Goriely, A |
| author_facet | Majumdar, A Prior, C Goriely, A |
| author_sort | Majumdar, A |
| collection | OXFORD |
| description | The stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. A self-contained proof in terms of local energy minimizers is presented and optimal bounds are obtained for the problem. |
| first_indexed | 2024-03-07T00:55:23Z |
| format | Journal article |
| id | oxford-uuid:87e52b2c-bf5f-45e8-bc8c-876c6dfa53fb |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:55:23Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:87e52b2c-bf5f-45e8-bc8c-876c6dfa53fb2022-03-26T22:13:26ZStability estimates for a twisted rod under terminal loads: a three-dimensional study Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:87e52b2c-bf5f-45e8-bc8c-876c6dfa53fbMathematical Institute - ePrints2011Majumdar, APrior, CGoriely, AThe stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. A self-contained proof in terms of local energy minimizers is presented and optimal bounds are obtained for the problem. |
| spellingShingle | Majumdar, A Prior, C Goriely, A Stability estimates for a twisted rod under terminal loads: a three-dimensional study |
| title | Stability estimates for a twisted rod under terminal loads: a three-dimensional study
|
| title_full | Stability estimates for a twisted rod under terminal loads: a three-dimensional study
|
| title_fullStr | Stability estimates for a twisted rod under terminal loads: a three-dimensional study
|
| title_full_unstemmed | Stability estimates for a twisted rod under terminal loads: a three-dimensional study
|
| title_short | Stability estimates for a twisted rod under terminal loads: a three-dimensional study
|
| title_sort | stability estimates for a twisted rod under terminal loads a three dimensional study |
| work_keys_str_mv | AT majumdara stabilityestimatesforatwistedrodunderterminalloadsathreedimensionalstudy AT priorc stabilityestimatesforatwistedrodunderterminalloadsathreedimensionalstudy AT gorielya stabilityestimatesforatwistedrodunderterminalloadsathreedimensionalstudy |