| Abstract: |
| Motivated by physical experiments, we consider a variational problem modeling transition between flat and wrinkled region in a thin elastic sheet. We start with a description of the model and of some related results due to Bella and Kohn. We then perform an asymptotic analysis, via $\Gamma$-convergence, as the sheet thickness goes to zero. The limiting problem is scalar and convex, but constrained and posed for measures. We complement the analysis by proving existence of a minimizer for the limiting functional as well as equipartition of the energy. |
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