Nonlinear morphoelastic plates II: exodus to buckled states
Morphoelasticity is the theory of growing elastic materials. This theory is based on the multiple decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing nonlinear elastic Kirchho...
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| Format: | Journal article |
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2010
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| _version_ | 1826302373708955648 |
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| author | McMahon, J Goriely, A Tabor, M |
| author_facet | McMahon, J Goriely, A Tabor, M |
| author_sort | McMahon, J |
| collection | OXFORD |
| description | Morphoelasticity is the theory of growing elastic materials. This theory is based on the multiple decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing nonlinear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed. |
| first_indexed | 2024-03-07T05:46:35Z |
| format | Journal article |
| id | oxford-uuid:e76b50ff-bdee-4855-8667-2233e6e90e2a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:46:35Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:e76b50ff-bdee-4855-8667-2233e6e90e2a2022-03-27T10:38:31ZNonlinear morphoelastic plates II: exodus to buckled statesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e76b50ff-bdee-4855-8667-2233e6e90e2aMathematical Institute - ePrints2010McMahon, JGoriely, ATabor, MMorphoelasticity is the theory of growing elastic materials. This theory is based on the multiple decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing nonlinear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed. |
| spellingShingle | McMahon, J Goriely, A Tabor, M Nonlinear morphoelastic plates II: exodus to buckled states |
| title | Nonlinear morphoelastic plates II: exodus to buckled states |
| title_full | Nonlinear morphoelastic plates II: exodus to buckled states |
| title_fullStr | Nonlinear morphoelastic plates II: exodus to buckled states |
| title_full_unstemmed | Nonlinear morphoelastic plates II: exodus to buckled states |
| title_short | Nonlinear morphoelastic plates II: exodus to buckled states |
| title_sort | nonlinear morphoelastic plates ii exodus to buckled states |
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