Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898088 | Physica D: Nonlinear Phenomena | 2007 | 4 Pages |
Abstract
We present an experimental study of the three-dimensional (3D) configurations that result from non-uniform lateral growth/shrinking of thin elastic sheets. We build gel sheets that undergo inducible differential shrinking. The non-uniform shrinking prescribes a non-Euclidean metric on a disc, and thus a non-zero Gaussian curvature. To minimize their elastic energy the free sheets form three-dimensional structures that approximate the imposed metric. We show how both large scale buckling and wrinkling-type structures can be generated, depending on the nature of possible embeddings of the imposed metric in Euclidean space.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Efi Efrati, Yael Klein, Hillel Aharoni, Eran Sharon,