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Multivalued Inverse Design: Multiple Surface Geometries from One Flat Sheet

Cornell Affiliated Author(s)

Author

I. Griniasty
C. Mostajeran
Itai Cohen

Abstract

Designing flat sheets that can be made to deform into three-dimensional shapes is an area of intense research with applications in micromachines, soft robotics, and medical implants. Thus far, such sheets were designed to adopt a single target shape. Here, we show that through anisotropic deformation applied inhomogeneously throughout a sheet, it is possible to design a single sheet that can deform into multiple surface geometries upon different actuations. The key to our approach is development of an analytical method for solving this multivalued inverse problem. Such sheets open the door to fabricating machines that can perform complex tasks through cyclic transitions between multiple shapes. As a proof of concept, we design a simple swimmer capable of moving through a fluid at low Reynolds numbers. © 2021 American Physical Society.

Date Published

Journal

Physical Review Letters

Volume

127

Issue

12

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85116040170&doi=10.1103%2fPhysRevLett.127.128001&partnerID=40&md5=a79fa36c8c2f89dd6177d877c8eb73aa

DOI

10.1103/PhysRevLett.127.128001

Group (Lab)

Itai Cohen Group

Funding Source

1719875
DMR-1719875
EFMA-1935252
W911NF-18-1-0032

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