Morphoelastic rods Part 1: A single growing elastic rod
A theory for the dynamics and statics of growing elastic rods is presented. First, a single growing rod is considered and the formalism of three-dimensional multiplicative decomposition of morphoelasticity is used to describe the bulk growth of Kirchhoff elastic rods. Possible constitutive laws for...
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| Format: | Journal article |
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2012
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| _version_ | 1797063955218169856 |
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| author | Moulton, D Lessinnes, T Goriely, A |
| author_facet | Moulton, D Lessinnes, T Goriely, A |
| author_sort | Moulton, D |
| collection | OXFORD |
| description | A theory for the dynamics and statics of growing elastic rods is presented. First, a single growing rod is considered and the formalism of three-dimensional multiplicative decomposition of morphoelasticity is used to describe the bulk growth of Kirchhoff elastic rods. Possible constitutive laws for growth are discussed and analysed. Second, a rod constrained or glued to a rigid substrate is considered, with the mismatch between the attachment site and the growing rod inducing stress. This stress can eventually lead to instability, bifurcation, and buckling. |
| first_indexed | 2024-03-06T21:07:22Z |
| format | Journal article |
| id | oxford-uuid:3cef2a26-b4c9-4bf1-be0d-1a0ac91f8c00 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:07:22Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:3cef2a26-b4c9-4bf1-be0d-1a0ac91f8c002022-03-26T14:16:27ZMorphoelastic rods Part 1: A single growing elastic rodJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3cef2a26-b4c9-4bf1-be0d-1a0ac91f8c00Mathematical Institute - ePrints2012Moulton, DLessinnes, TGoriely, AA theory for the dynamics and statics of growing elastic rods is presented. First, a single growing rod is considered and the formalism of three-dimensional multiplicative decomposition of morphoelasticity is used to describe the bulk growth of Kirchhoff elastic rods. Possible constitutive laws for growth are discussed and analysed. Second, a rod constrained or glued to a rigid substrate is considered, with the mismatch between the attachment site and the growing rod inducing stress. This stress can eventually lead to instability, bifurcation, and buckling. |
| spellingShingle | Moulton, D Lessinnes, T Goriely, A Morphoelastic rods Part 1: A single growing elastic rod |
| title | Morphoelastic rods Part 1: A single growing elastic rod |
| title_full | Morphoelastic rods Part 1: A single growing elastic rod |
| title_fullStr | Morphoelastic rods Part 1: A single growing elastic rod |
| title_full_unstemmed | Morphoelastic rods Part 1: A single growing elastic rod |
| title_short | Morphoelastic rods Part 1: A single growing elastic rod |
| title_sort | morphoelastic rods part 1 a single growing elastic rod |
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