Wrapping an adhesive sphere with a sheet

Details Wrapping an adhesive sphere with a sheet Wrapping an adhesive sphere with a sheet

2011-03-25

arxiv.org/abs/1103.4926v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

We study the adhesion of an elastic sheet on a rigid spherical substrate. Gauss'Theorema Egregium shows that this operation necessarily generates metric distortions (i.e. stretching) as well as bending. As a result, a large variety of contact patterns ranging from simple disks to complex branched shapes are observed as a function of both geometrical and material properties. We describe these different morphologies as a function of two non-dimensional parameters comparing respectively bending and stretching energies to adhesion. A complete configuration diagram is finally proposed.

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