AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY
The problem of a thin spherical linearly elastic shell perfectly bonded to an infinite linearly elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of harmonic p...
| Main Authors: | , , |
|---|---|
| Formato: | Journal article |
| Idioma: | English |
| Publicado: |
2008
|
| _version_ | 1826302942869716992 |
|---|---|
| author | Jones, G Chapman, S Allwright, D |
| author_facet | Jones, G Chapman, S Allwright, D |
| author_sort | Jones, G |
| collection | OXFORD |
| description | The problem of a thin spherical linearly elastic shell perfectly bonded to an infinite linearly elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of harmonic potential functions. In order to examine the stability of this solution, the buckling problem of a shell which experiences this deformation is considered. Using Koiter's nonlinear shallow shell theory, restricting buckling patterns to those which are axisymmetric and using the Rayleigh-Ritz method by expanding the buckling patterns in an infinite series of Legendre functions, an eigenvalue problem for the coefficients in the infinite series is determined. This system is truncated and solved numerically in order to analyse the behaviour of the shell as it undergoes buckling and to identify the critical buckling stress in two cases, namely, where the shell is hollow and the stress at infinity is either uniaxial or radial. © The author 2008. Published by Oxford University Press; all rights reserved. |
| first_indexed | 2024-03-07T05:55:07Z |
| format | Journal article |
| id | oxford-uuid:ea3f7f2c-0cfe-4f17-9e65-2cf0bf3dfd23 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:55:07Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:ea3f7f2c-0cfe-4f17-9e65-2cf0bf3dfd232022-03-27T11:00:31ZAXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITYJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ea3f7f2c-0cfe-4f17-9e65-2cf0bf3dfd23EnglishSymplectic Elements at Oxford2008Jones, GChapman, SAllwright, DThe problem of a thin spherical linearly elastic shell perfectly bonded to an infinite linearly elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of harmonic potential functions. In order to examine the stability of this solution, the buckling problem of a shell which experiences this deformation is considered. Using Koiter's nonlinear shallow shell theory, restricting buckling patterns to those which are axisymmetric and using the Rayleigh-Ritz method by expanding the buckling patterns in an infinite series of Legendre functions, an eigenvalue problem for the coefficients in the infinite series is determined. This system is truncated and solved numerically in order to analyse the behaviour of the shell as it undergoes buckling and to identify the critical buckling stress in two cases, namely, where the shell is hollow and the stress at infinity is either uniaxial or radial. © The author 2008. Published by Oxford University Press; all rights reserved. |
| spellingShingle | Jones, G Chapman, S Allwright, D AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY |
| title | AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY |
| title_full | AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY |
| title_fullStr | AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY |
| title_full_unstemmed | AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY |
| title_short | AXISYMMETRIC BUCKLING OF A SPHERICAL SHELL EMBEDDED IN AN ELASTIC MEDIUM UNDER UNIAXIAL STRESS AT INFINITY |
| title_sort | axisymmetric buckling of a spherical shell embedded in an elastic medium under uniaxial stress at infinity |
| work_keys_str_mv | AT jonesg axisymmetricbucklingofasphericalshellembeddedinanelasticmediumunderuniaxialstressatinfinity AT chapmans axisymmetricbucklingofasphericalshellembeddedinanelasticmediumunderuniaxialstressatinfinity AT allwrightd axisymmetricbucklingofasphericalshellembeddedinanelasticmediumunderuniaxialstressatinfinity |