Defective nematogenesis: Gauss curvature in programmable shape-responsive sheets with topological defects

Author:

Duffy Daniel1234ORCID,Biggins John S.1234ORCID

Affiliation:

1. Engineering Dept.

2. University of Cambridge

3. Cambridge

4. UK

Abstract

We deploy the Gauss-Bonnet theorem to calculate the Gauss curvature, both singular and finite, developed by initially flat sheets that are programmed with directional patterns of spontaneous distortion containing topological defects.

Funder

Engineering and Physical Sciences Research Council

UK Research and Innovation

Publisher

Royal Society of Chemistry (RSC)

Subject

Condensed Matter Physics,General Chemistry

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