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Negative Gaussian curvature from induced metric changes.


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Authors

Modes, Carl D 

Abstract

We revisit the light or heat-induced changes in topography of initially flat sheets of a solid that elongate or contract along patterned in-plane director fields. For radial or azimuthal directors, negative Gaussian curvature is generated-so-called "anticones." We show that azimuthal material displacements are required for the distorted state to be stretch free and bend minimizing. The resultant shapes are smooth and asterlike and can become reentrant in the azimuthal coordinate for large deformations. We show that care is needed when considering elastomers rather than glasses, although the former offer huge deformations.

Description

Keywords

0912 Materials Engineering

Journal Title

Phys Rev E Stat Nonlin Soft Matter Phys

Conference Name

Journal ISSN

1539-3755
1550-2376

Volume Title

92

Publisher

American Physical Society (APS)
Sponsorship
Engineering and Physical Sciences Research Council (EP/E051251/1)