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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2605.19598 |
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Table des matières:
- We study wrinkling patterns in a thin elastic annulus subjected to radial stretching within the framework of the Föppl--von Kármán theory. Building on the analysis of the Lamé problem in Bella and Kohn, we investigate the asymptotic regime $h\to0$ and establish a $Γ$-convergence result for suitably rescaled energies after subtraction of the relaxed membrane energy. The limiting functional is a scalar convex measure-valued energy coupled with a constraint on the marginal of the limiting measure, describing the distribution of wrinkle frequencies. We also prove existence and qualitative properties of minimizers of the limiting functional.