ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL
The axisymmetric buckling of a spherical shell embedded in an elastic medium with uniaxial compression at infinity is examined in the limit of small shell thickness ratio. An asymptotic method is developed by considering the paradigm problem of a beam attached to a Winkler substrate of variable stif...
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1797086478423031808 |
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| author | Jones, G Chapman, S Allwright, D |
| author_facet | Jones, G Chapman, S Allwright, D |
| author_sort | Jones, G |
| collection | OXFORD |
| description | The axisymmetric buckling of a spherical shell embedded in an elastic medium with uniaxial compression at infinity is examined in the limit of small shell thickness ratio. An asymptotic method is developed by considering the paradigm problem of a beam attached to a Winkler substrate of variable stiffness, which in the small aspect ratio limit displays the same behavior as the shell. The asymptotic method is then applied to the Euler-Lagrange equations corresponding to shell buckling. The system is analyzed in two distinguished limits, displaying good agreement with the full numerical results. © 2009 Society for Industrial and Applied Mathematics. |
| first_indexed | 2024-03-07T02:22:37Z |
| format | Journal article |
| id | oxford-uuid:a477a0cb-8b20-4fac-8470-d4add5cda8de |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:22:37Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:a477a0cb-8b20-4fac-8470-d4add5cda8de2022-03-27T02:34:03ZASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELLJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a477a0cb-8b20-4fac-8470-d4add5cda8deEnglishSymplectic Elements at Oxford2009Jones, GChapman, SAllwright, DThe axisymmetric buckling of a spherical shell embedded in an elastic medium with uniaxial compression at infinity is examined in the limit of small shell thickness ratio. An asymptotic method is developed by considering the paradigm problem of a beam attached to a Winkler substrate of variable stiffness, which in the small aspect ratio limit displays the same behavior as the shell. The asymptotic method is then applied to the Euler-Lagrange equations corresponding to shell buckling. The system is analyzed in two distinguished limits, displaying good agreement with the full numerical results. © 2009 Society for Industrial and Applied Mathematics. |
| spellingShingle | Jones, G Chapman, S Allwright, D ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL |
| title | ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL |
| title_full | ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL |
| title_fullStr | ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL |
| title_full_unstemmed | ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL |
| title_short | ASYMPTOTIC ANALYSIS OF A BUCKLING PROBLEM FOR AN EMBEDDED SPHERICAL SHELL |
| title_sort | asymptotic analysis of a buckling problem for an embedded spherical shell |
| work_keys_str_mv | AT jonesg asymptoticanalysisofabucklingproblemforanembeddedsphericalshell AT chapmans asymptoticanalysisofabucklingproblemforanembeddedsphericalshell AT allwrightd asymptoticanalysisofabucklingproblemforanembeddedsphericalshell |