The Euler-Bernoulli limit of thin brittle linearized elastic beams
| Autor: | Gladbach, Peter, Ginster, Janusz |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that the linear brittle Griffith energy on a thin rectangle $\Gamma$-converges after rescaling to the linear one-dimensional brittle Euler-Bernoulli beam energy. In contrast to the existing literature, we prove a corresponding sharp compactness result, namely a suitable weak convergence after subtraction of piecewise rigid motions with the number of jumps bounded by the energy Comment: 26 pages, 7 figures |
| Databáze: | arXiv |
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