Surface Tension-Driven Self-Folding Polyhedra

Leong, Timothy G.; Lester, Paul A.; Koh, Travis; Call, Emma K.; Gracias, David H.

doi:10.1021/la700913m

Cited by 147 publications

(139 citation statements)

References 29 publications

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“…2002;Syms et al 2003;Leong et al 2007;Mastrangeli et al 2009). Recent experiments have shown that elasto-capillary wrapping can be achieved using drop impact on millimetric and centimetric scales (Antkowiak et al 2011).…”

Section: Introductionmentioning

confidence: 99%

Instabilities in a drop-strip system: a simplified model

Rivetti

Neukirch

2012

Proc. R. Soc. A.

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We study the deformation of an elastic strip by a liquid drop. At small enough scales, capillarity is the dominant fluid effect and surface tension forces may be sufficient to fold the beam, resulting in the wrapping of the drop by the beam. However, wrapping of the drop can be inhibited by the weight of the beam, which creates an energy barrier. The barrier can be overcome by input of kinetic energy in the form of impact of the drop. We introduce a semi-analytical model to study equilibria and their stability in three dropbeam systems: evaporation of a drop wetting and bending an elastic beam; impact of a drop on an elastic beam; lifting of a heavy elastic beam by a drop and we show the model reproduces experimental data. In relevant cases, we use the concept of suddenly applied load to discuss dynamic instabilities.

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Section: Introductionmentioning

confidence: 99%

Instabilities in a drop-strip system: a simplified model

Rivetti

Neukirch

2012

Proc. R. Soc. A.

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“…The positive initial slope indicates the assembly process for the part with an initial orientation angle between 0° and 90° is a nonspontaneous process. Leong et al [17] pointed out that, as the size of the part increases, the weight increases and gravitational forces begin to dominate over the surface tension forces. Given proper design of parts, solder/liquid, binding sites and the fluidic/air environment, the self-assembly of micro and nano scale parts can be spontaneous.…”

Section: Discussionmentioning

confidence: 99%

“…With proper agitation in the fluid environment, millimeter-sized parts can settle into the required orientations with the local minimum surface energy [10,16]. As noted by Leong et al [17], surface forces scale favorably with deceasing part sizes, and self assembly driven by surface tension has the potential for the assembly of micro-and nano-scale parts. As the weight of millimeter-scale parts increases, gravitational forces begin to dominate, thus potentially rendering the self-assembly nonspontaneous.…”

Section: Introductionmentioning

confidence: 98%

Analysis of Magnetic Assisted Assembly of Meso-Scale Parts

Wang

2014

AUSMT

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Abstract:This paper presents an analysis of the self-assembly of millimeter-sized, rectangular-shaped parts floating on a molten solder-air interface under a rotating external magnetic field. For part at the millimeter scale, gravitational effects may not be negligible compared to interfacial surface energy, resulting in a non-spontaneous self-assembly process. A rotating magnetic field produces a torque which rotates the magnetized parts into their specific in-plane orientations, and are then fixed in these orientations by the surface tension of the molten solder. A theoretical model for estimating the magnetic torque is developed. Experiments are carried out on glass substrates with patterned copper foil. Rectangular binding sites are the only hydrophilic areas on the substrate. By a simple coating process, molten solder wets only the binding sites on the substrate. Parts with orientation angles up to 90°can be rotated and translated to align with the binding sites by the magnetic torque and surface tension.

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“…Human-made examples include self-assembly of mechanical structures (Mao et al, 2002); self-assembly of 3D polyhedra (Leong et al, 2007); and self-assembly of electronic circuits (James and Tour, 2005). Algorithmic work on selfassembly includes directed self-assembly (Grzelczak et al, 2010) and applications to nanofabrication (Ozin et al, 2009), as well as research into autonomous self-repairing/differentiating systems on a Cell Matrix (Macias and Athanas, 2007).…”

Section: Self-assemblymentioning

confidence: 99%

Design of Introspective Circuits for Analysis of Cell-Level Dis-orientation in Self-Assembled Cellular Systems

2016

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This paper discusses a novel approach to managing complexity in a large self-assembled system, by utilizing the self-assembling components themselves to address the complexity. A particular challenge is discussed -namely the question of how to deal with elements that are assembled in different orientations from each other -and a solution based on the idea of introspective circuitry is described. A methodology for using a set of cells to determine a nearby cell's orientation is given, leading to a slow (O(n)) means of orienting a 2D region of cells. A modified algorithm is then describe to allow parallel analysis of/adaption to dis-oriented cells, thus allowing re-orientation of an entire 2D region of cells with better-than-linear time performance (O(sqrt(n))). The significance of this work is discussed not only in terms of managing arrays of dis-oriented cells but also more importantly as an example of the usefulness of local, distributed self-configuration to create and use introspective circuitry.

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Surface Tension-Driven Self-Folding Polyhedra

Cited by 147 publications

References 29 publications

Instabilities in a drop-strip system: a simplified model

Instabilities in a drop-strip system: a simplified model

Analysis of Magnetic Assisted Assembly of Meso-Scale Parts

Design of Introspective Circuits for Analysis of Cell-Level Dis-orientation in Self-Assembled Cellular Systems

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