Negative Gaussian curvature from induced metric changes.
Change log
Authors
Modes, Carl D
Warner, Mark https://orcid.org/0000-0003-3172-0265
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
1550-2376
Volume Title
92
Publisher
American Physical Society (APS)
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/E051251/1)