The incompressible von Kármán theory for thin prestrained plates
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916468415791104 |
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| author | Li, Hui |
| author_facet | Li, Hui |
| contents | We derive a new version of the von Kármán energy and the corresponding Euler-Langrange equations, in the context of thin prestrained plates, under the condition of incompressibility relative to the given prestrain. Our derivation uses the theory of $Γ$-convergence in the calculus of variations, building on prior techniques in [Conti, Dolzmann (2009)] and [Lewicka, Mahadevan, Pakzad (2011)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The incompressible von Kármán theory for thin prestrained plates Li, Hui Analysis of PDEs Mathematical Physics 74K20, 74K25 We derive a new version of the von Kármán energy and the corresponding Euler-Langrange equations, in the context of thin prestrained plates, under the condition of incompressibility relative to the given prestrain. Our derivation uses the theory of $Γ$-convergence in the calculus of variations, building on prior techniques in [Conti, Dolzmann (2009)] and [Lewicka, Mahadevan, Pakzad (2011)]. |
| title | The incompressible von Kármán theory for thin prestrained plates |
| topic | Analysis of PDEs Mathematical Physics 74K20, 74K25 |
| url | https://arxiv.org/abs/2411.02786 |