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Physical Review E
We study equilibrium configurations of thin and elongated non-Euclidean elastic strips with hyperbolic twodimensional reference metricsā which are invariant along the strip. In the vanishing thickness limit energy minima are obtained by minimizing the integral of the mean curvature squared among all isometric embeddings ofā. For narrow strips these minima are very close to minimal surfaces regardless of the specific form of the metric. We study the properties of these "almost minimal" surfacesdoi:10.1103/physreve.83.046602 pmid:21599321 fatcat:cao56fhrqvd3jhd7cu4k3tvg7e