2020
DOI: 10.1039/d0sm01192d
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Defective nematogenesis: Gauss curvature in programmable shape-responsive sheets with topological defects

Abstract: Flat sheets encoded with patterns of contraction/elongation morph into curved surfaces. If the surfaces bear Gauss curvature, the resulting actuation can be strong and powerful. We deploy the Gauss-Bonnet theorem...

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Cited by 23 publications
(40 citation statements)
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“…We further verified this pattern by conducting numerics using our bespoke code MorphoShell [33]. As seen in supplementary movie M1 [37], our numerics highlight that if its outer circumference is artificially pinned (cannot move) the iris remains planar and moves smoothly throughout its actuation without sudden instabilities, despite the stresses present before the design λ is reached.…”
Section: Iris Actuator: ω• =mentioning
confidence: 59%
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“…We further verified this pattern by conducting numerics using our bespoke code MorphoShell [33]. As seen in supplementary movie M1 [37], our numerics highlight that if its outer circumference is artificially pinned (cannot move) the iris remains planar and moves smoothly throughout its actuation without sudden instabilities, despite the stresses present before the design λ is reached.…”
Section: Iris Actuator: ω• =mentioning
confidence: 59%
“…Thus the metric must encode the Gauss curvature of the target surface. A direct calculation using the LCE metric in a defect-free region yields [30][31][32][33], in terms of gradients of bend and splay of the director field,…”
Section: Shape Programming Of Annular Lce Actuatorsmentioning
confidence: 99%
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“…There have been extensive theoretical analyses about mechanical responses of LCE under external stimuli [ 7 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ]. In this work, the actuation mechanism is rooted in the nematic ordering change in the LCE film.…”
Section: Discussionmentioning
confidence: 99%
“…In future work we will return to such bend problems using finite element analysis in the context of a wider analysis of possible structures. We also reserve for future work a direct calculation of the concentrated Gauss curvature encoded in curved folds, which, we anticipate, will be greatly facilitated by recent work describing the geometry of director fields in terms of their splay and bend [10] and subsequent deployments of this technology to calculate distributed [11] and concentrated [12] GC on activation. Within the scope of the current work, access to analytic embeddings renders such calculations are largely immaterial, but they are likely to be vital to understanding the forms of curved folds encoded in more general nematic patterns.…”
Section: Fig 1 (A)mentioning
confidence: 99%