The incompressible von K\'arm\'an theory for thin prestrained plates
| Autor: | Li, Hui |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We derive a new version of the von K\'arm\'an 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 $\Gamma$-convergence in the calculus of variations, building on prior techniques in [Conti, Dolzmann (2009)] and [Lewicka, Mahadevan, Pakzad (2011)]. Comment: 16 pages |
| Databáze: | arXiv |
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