Show simple item record

dc.contributor.authorJiang, Caigui
dc.contributor.authorRist, Florian
dc.contributor.authorWang, Hui
dc.contributor.authorWallner, Johannes
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2021-10-31T05:39:22Z
dc.date.available2021-10-31T05:39:22Z
dc.date.issued2021
dc.identifier.citationJiang, C., Rist, F., Wang, H., Wallner, J., & Pottmann, H. (2021). Shape-Morphing Mechanical Metamaterials. Computer-Aided Design, 103146. doi:10.1016/j.cad.2021.103146
dc.identifier.doi10.1016/j.cad.2021.103146
dc.identifier.urihttp://hdl.handle.net/10754/672993
dc.description.abstractSmall-scale cut and fold patterns imposed on sheet material enable its morphing into three-dimensional shapes. This manufacturing paradigm has been receiving much attention in recent years and poses challenges in both fabrication and computation. It is intimately connected with the interpretation of patterned sheets as mechanical metamaterials, typically of negative Poisson ratio. We here present an affirmative solution to a fundamental geometric question, namely the targeted programming of a shape morph. We use optimization to compute kirigami patterns that realize a morph between shapes, in particular between a flat sheet and a surface in space. The shapes involved can be arbitrary; in fact we are able to approximate any mapping between shapes whose principal distortions do not exceed certain bounds. This amounts to a solution of the so-called inverse problem for kirigami cut and fold patterns. The methods we employ include a differential-geometric interpretation of the morph, besides drawing on recent progress in geometric computing
dc.description.sponsorshipThis work was supported by the Austrian Science Fund via grants I2978 (SFB-Transregio programme Discretization in geometry and dynamics), F77 (SFB grant Advanced Computational Design); further by the Vienna Science and Technology Fund (WWTF) under grant ICT15-082. C. Jiang, F. Rist, and H. Wang were supported by KAUST baseline funding.
dc.language.isoen
dc.publisherElsevier
dc.relation.urlhttps://www.dmg.tuwien.ac.at/geom/ig/publications/geommaterials/geommaterials.pdf
dc.rightsArchived with thanks to Computer-Aided Design
dc.titleShape-morphing mechanical metamaterials
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalComputer-Aided Design
dc.rights.embargodate2023-10-31
dc.eprint.versionPost-print
dc.contributor.institutionGraz University of Technology
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
pubs.publication-statusAccepted
kaust.personJiang, Caigui
kaust.personRist, Florian
kaust.personWang, Hui
kaust.personPottmann, Helmut
refterms.dateFOA2021-10-31T05:39:23Z
kaust.acknowledged.supportUnitKAUST baseline funding


Files in this item

Thumbnail
Name:
geommaterials.pdf
Size:
3.915Mb
Format:
PDF
Description:
Accepted Manuscript
Embargo End Date:
2023-10-31

This item appears in the following Collection(s)

Show simple item record