Differential growth and instability in elastic shells.
Differential growth in elastic materials can produce stress either through incompatibility of growth or by interaction with the surrounding medium. In many situations, this stress can be sufficient to induce shape instability in the growing medium. To gain better insight in growth-induced instabilit...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2005
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| _version_ | 1826293356520538112 |
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| author | Goriely, A Ben Amar, M |
| author_facet | Goriely, A Ben Amar, M |
| author_sort | Goriely, A |
| collection | OXFORD |
| description | Differential growth in elastic materials can produce stress either through incompatibility of growth or by interaction with the surrounding medium. In many situations, this stress can be sufficient to induce shape instability in the growing medium. To gain better insight in growth-induced instabilities, the growth of an elastic shell loaded with hydrostatic pressure or embedded in an elastic medium is studied. The residual stress arising from the incompatibility of growth and the contact stress arising from the interaction with the surrounding medium are computed with respect to growth and geometric parameters and critical values for instability are obtained. Depending on these parameters, different modes of instability can be obtained. |
| first_indexed | 2024-03-07T03:28:50Z |
| format | Journal article |
| id | oxford-uuid:b9fec176-5f1c-48f8-b25e-8e003f4fcaec |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:28:50Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:b9fec176-5f1c-48f8-b25e-8e003f4fcaec2022-03-27T05:06:46ZDifferential growth and instability in elastic shells.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b9fec176-5f1c-48f8-b25e-8e003f4fcaecEnglishSymplectic Elements at Oxford2005Goriely, ABen Amar, MDifferential growth in elastic materials can produce stress either through incompatibility of growth or by interaction with the surrounding medium. In many situations, this stress can be sufficient to induce shape instability in the growing medium. To gain better insight in growth-induced instabilities, the growth of an elastic shell loaded with hydrostatic pressure or embedded in an elastic medium is studied. The residual stress arising from the incompatibility of growth and the contact stress arising from the interaction with the surrounding medium are computed with respect to growth and geometric parameters and critical values for instability are obtained. Depending on these parameters, different modes of instability can be obtained. |
| spellingShingle | Goriely, A Ben Amar, M Differential growth and instability in elastic shells. |
| title | Differential growth and instability in elastic shells. |
| title_full | Differential growth and instability in elastic shells. |
| title_fullStr | Differential growth and instability in elastic shells. |
| title_full_unstemmed | Differential growth and instability in elastic shells. |
| title_short | Differential growth and instability in elastic shells. |
| title_sort | differential growth and instability in elastic shells |
| work_keys_str_mv | AT gorielya differentialgrowthandinstabilityinelasticshells AT benamarm differentialgrowthandinstabilityinelasticshells |