Some open problems in elasticity
Some outstanding open problems of nonlinear elasticity are described. The problems range from questions of existence, uniqueness, regularity and stability of solutions in statics and dynamics to issues such as the modelling of fracture and self-contact, the status of elasticity with respect to atom...
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| Format: | Book section |
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Springer-Verlag New York
2002
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| _version_ | 1826295168308871168 |
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| author | Ball, J |
| author_facet | Ball, J |
| author_sort | Ball, J |
| collection | OXFORD |
| description | Some outstanding open problems of nonlinear elasticity are described. The problems range from questions of existence, uniqueness, regularity and stability of solutions in statics and dynamics to issues such as the modelling of fracture and self-contact, the status of elasticity with respect to atomistic models, the understanding of microstructure induced by phase transformations, and the passage from three-dimensional elasticity to models of rods and shells. Refinements are presented of the author's earlier work Ball [1984a] on showing that local minimizers of the elastic energy satisfy certain weak forms of the equilibrium equations. |
| first_indexed | 2024-03-07T03:56:54Z |
| format | Book section |
| id | oxford-uuid:c32ec402-84e3-490b-b070-4a053525a282 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:56:54Z |
| publishDate | 2002 |
| publisher | Springer-Verlag New York |
| record_format | dspace |
| spelling | oxford-uuid:c32ec402-84e3-490b-b070-4a053525a2822022-03-27T06:14:35ZSome open problems in elasticityBook sectionhttp://purl.org/coar/resource_type/c_3248uuid:c32ec402-84e3-490b-b070-4a053525a282Mathematical Institute - ePrintsSpringer-Verlag New York2002Ball, JSome outstanding open problems of nonlinear elasticity are described. The problems range from questions of existence, uniqueness, regularity and stability of solutions in statics and dynamics to issues such as the modelling of fracture and self-contact, the status of elasticity with respect to atomistic models, the understanding of microstructure induced by phase transformations, and the passage from three-dimensional elasticity to models of rods and shells. Refinements are presented of the author's earlier work Ball [1984a] on showing that local minimizers of the elastic energy satisfy certain weak forms of the equilibrium equations. |
| spellingShingle | Ball, J Some open problems in elasticity |
| title | Some open problems in elasticity |
| title_full | Some open problems in elasticity |
| title_fullStr | Some open problems in elasticity |
| title_full_unstemmed | Some open problems in elasticity |
| title_short | Some open problems in elasticity |
| title_sort | some open problems in elasticity |
| work_keys_str_mv | AT ballj someopenproblemsinelasticity |