Article ID Journal Published Year Pages File Type
1898088 Physica D: Nonlinear Phenomena 2007 4 Pages PDF
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
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