Anticavitation and differential growth in elastic shells
Elastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone, very few materials admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth.Working in the geometry of...
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| Format: | Journal article |
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2010
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| _version_ | 1797101930043932672 |
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| author | Moulton, D Goriely, A |
| author_facet | Moulton, D Goriely, A |
| author_sort | Moulton, D |
| collection | OXFORD |
| description | Elastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone, very few materials admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth.Working in the geometry of a spherical shell, we seek radial growth functions which cause the shell to deform to a solid sphere. It is shown, surprisingly, that most materials do not admit full anticavitation, even when infinite growth or resorption is imposed at the inner surface of the shell. However, void collapse can occur in a limiting sense when radial and circumferential growth are properly balanced. Growth functions which diverge or vanish at a point arise naturally in a cumulative growth process. |
| first_indexed | 2024-03-07T05:58:50Z |
| format | Journal article |
| id | oxford-uuid:eb77488c-cae1-4345-98e7-0b9a4e509341 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:58:50Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:eb77488c-cae1-4345-98e7-0b9a4e5093412022-03-27T11:09:50ZAnticavitation and differential growth in elastic shellsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:eb77488c-cae1-4345-98e7-0b9a4e509341Mathematical Institute - ePrints2010Moulton, DGoriely, AElastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone, very few materials admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth.Working in the geometry of a spherical shell, we seek radial growth functions which cause the shell to deform to a solid sphere. It is shown, surprisingly, that most materials do not admit full anticavitation, even when infinite growth or resorption is imposed at the inner surface of the shell. However, void collapse can occur in a limiting sense when radial and circumferential growth are properly balanced. Growth functions which diverge or vanish at a point arise naturally in a cumulative growth process. |
| spellingShingle | Moulton, D Goriely, A Anticavitation and differential growth in elastic shells |
| title | Anticavitation and differential growth in elastic shells |
| title_full | Anticavitation and differential growth in elastic shells |
| title_fullStr | Anticavitation and differential growth in elastic shells |
| title_full_unstemmed | Anticavitation and differential growth in elastic shells |
| title_short | Anticavitation and differential growth in elastic shells |
| title_sort | anticavitation and differential growth in elastic shells |
| work_keys_str_mv | AT moultond anticavitationanddifferentialgrowthinelasticshells AT gorielya anticavitationanddifferentialgrowthinelasticshells |