Capillary origami: spontaneous wrapping of a droplet with an elastic sheet

Abstract

The interaction between elasticity and capillarity is used to produce three dimensional structures, through the wrapping of a liquid droplet by a planar sheet. The final encapsulated 3D shape is controlled by tayloring the initial geometry of the flat membrane. A 2D model shows the evolution of open sheets to closed structures and predicts a critical length scale below which encapsulation cannot occur, which is verified experimentally. This {\it elastocapillary length} is found to depend on the thickness as $h^{3/2}$, a scaling favorable to miniaturization which suggests a new way of mass production of 3D micro- or nano-scale objects.

5 pages, 5 figures

References in corpus (1)

• Kinks, rings, and rackets in filamentous structures

Cited by in corpus (55)

• Elastocapillarity: Surface Tension and the Mechanics of Soft Solids
• Contact angles on a soft solid: from Young's law to Neumann's law
• Making the Cut: Lattice Kirigami Rules
• Capillary Pressure and Contact Line Force on a Soft Solid
• Soft wetting and the Shuttleworth effect, at the crossroads between thermodynamics and mechanics
• Lattice Mechanics of Origami Tessellations
• Straight contact lines on a soft, incompressible solid
• Role of uncrosslinked chains in droplets dynamics on silicone elastomers
• Elastic deformation due to tangential capillary forces
• From adhesion to wetting of a soft particle
• Dynamics of elastocapillary rise
• Indentation of ultrathin elastic films and the emergence of asymptotic isometry
• The Plateau-Rayleigh instability in solids is a simple phase separation
• A sheet on deformable sphere: "wrinklogami" patterns suppress curvature-induced delamination
• Water-based peeling of thin hydrophobic films
• Wrapping liquids, solids, and gases in thin sheets
• Curvature-Driven Morphing of Non-Euclidean Shells
• Instability of the origami of a ferrofluid drop in a magnetic field
• A fluid-mechanical model of elastocapillary coalescence
• Piercing an interface with a brush: collaborative stiffening
• Drop Trampoline
• The bending of an elastic beam by a liquid drop: A variational approach
• Partial wetting of thin solid sheets under tension
• Geometry-driven folding of a floating annular sheet
• Liquid droplets act as "compass needles" for the stresses in a deformable membrane
• The geometry and wetting of capillary folding
• Elastocapillary Levelling of Thin Viscous Films on Soft Substrates
• Mechanics of large folds in thin interfacial films
• Capillarity of soft amorphous solids: a microscopic model for surface stress
• Flattened and wrinkled encapsulated droplets: Shape-morphing induced by gravity and evaporation
• Rucks and folds: delamination from a flat rigid substrate under uniaxial compression
• Rotational instability in superlubric joints
• Soft beams: when capillarity induces axial compression
• Capillary force-induced structural instability in liquid infiltrated elastic circular tubes
• Tensional twist-folding of sheets into multilayered scrolled yarns
• Liquid Drop Stability of a Superdeformed Prolate Semi-Spheroidal Atomic Cluster
• Capillary origami of micro-machined micro-objects: Bi-layer conductive hinges
• Self-crumpling elastomers: bending induced by the drying stimulus of a nanoparticle suspension
• Elastocapillary instability under partial wetting conditions: bending versus buckling
• Wetting and wrapping of a floating droplet by a thin elastic filament
• Mechanics of a granular skin
• Elastic Plateau-Rayleigh instability in soft cylinders: Surface elasticity and periodic beading
• The heavy windlass: Buckling and coiling of an elastic rod inside a liquid drop in the presence of gravity
• Effect of external tension on the wetting of an elastic sheet
• Elastocapillary folding using stop-programmable hinges fabricated by 3D micro-machining
• Interplay of gross and fine structures in strongly-curved sheets
• Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations
• Crumple-Origami Transition for Twisting Cylindrical Shells
• The θ-formulation of the 2D elastica -- Buckling and boundary layer theory
• Shapes of a filament on the surface of a bubble
• Elasto-capillary collapse of floating structures - Non-linear response of elastic structures under capillary forces
• Active elastocapillarity in soft solids with negative surface tension
• Shape of a membrane on a liquid interface with arbitrary curvatures
• Adhesive tape loops
• Elastocapillary morphing of self-encapsulated droplets floating at the oil-air interface