期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 235, 期 1-2, 页码 29-32出版社
ELSEVIER
DOI: 10.1016/j.physd.2007.04.024
关键词
buckling; thin plates; elasticity; metric; Gaussian curvature
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. (c) 2007 Elsevier B.V. All rights reserved.
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