20 research outputs found
Wrinkles, folds and plasticity in granular rafts
We investigate the mechanical response of a compressed monolayer of large and
dense particles at a liquid-fluid interface: a granular raft. Upon compression,
rafts first wrinkle; then, as the confinement increases, the deformation
localizes in a unique fold. This characteristic buckling pattern is usually
associated to floating elastic sheets and as a result, particle laden
interfaces are often modeled as such. Here, we push this analogy to its limits
by comparing the first quantitative measurements of the raft morphology to a
theoretical continuous elastic model of the interface. We show that although
powerful to describe the wrinkle wavelength, the wrinkle-to-fold transition and
the fold shape, this elastic description does not capture the finer details of
the experiment. We describe an unpredicted secondary wavelength, a compression
discrepancy with the model and a hysteretic behavior during compression cycles,
all of which are a signature of the intrinsic discrete and frictional nature of
granular rafts. It suggests also that these composite materials exhibit both
plastic transition and jamming dynamics.Comment: 10 pages, including Supplementary Information. Submitted to Physical
Review Material
Curvature Regularization near Contacts with Stretched Elastic Tubes
Bringing a rigid object into contact with a soft elastic tube causes the tube
to conform to the surface of the object, resulting in contact lines. The
curvature of the tube walls near these contact lines is often large and is
typically regularized by the finite bending rigidity of the tube. Here, we show
using experiments and a F\"{o}ppl--von K\'{a}rm\'{a}n-like theory that a second
mechanism of curvature regularization occurs when the tube is axially
stretched. The radius of curvature obtained is unrelated to the bending
rigidity of the tube walls, increases with the applied stretching force and
decreases with sheet thickness, in contrast with the effects of finite bending
rigidity. %Moreover, the axial force decreases the contact area between the
tube and the intruding object, potentially reducing the drag necessary to
propel the object through the tube. We show that these features are due to an
interplay between geometry and mechanics specific to elastic tubes, but one
that is absent from both planar sheets and spherical shells
ANGELITO [Material gráfico]
ÁLBUM FAMILIAR CASA DE COLÓNCopia digital. Madrid : Ministerio de Educación, Cultura y Deporte. Subdirección General de Coordinación Bibliotecaria, 201
Membranes plissées à la surface de l'eau : des films élastiques aux radeaux granulaires
This thesis is concerned with the buckling of a model particle laden interface: a monolayer of dense, athermal particles at a planar liquid-fluid interface that we call a granular raft. Under compression granular rafts wrinkle and fold like elastic sheets. We investigate this buckling instability experimentally and theoretically for these two systems under the continuum mechanics framework. We first look at folds in custom made dense floating elastic sheets. We highlight the influence of the sheet's own weight in the fold formation and shape. Then we explore the regime of very large deformations, after the sheet contacts itself. Depending on the sheet density, the fold in self-contact either bends back toward the interface or sinks down toward the bottom of the tank. We then look at wrinkles and folds in granular rafts. Our experimental apparatus allows us to compress the rafts uniaxially and extract their morphology. As compression increases, we observe two distinct wrinkling patterns, then the deformations localise in a unique fold. We develop an elastic model that we solve numerically to predict the fold shape and size. We then highlight the limitations of the model and show that the granular nature of these rafts cannot always be neglected. Finally, we deposit water droplets on top of granular rafts. If the particles are hydrophobic and large enough, the raft can inhibit coalescence indefinitely via particle bridging. When we vary the size of these floating drops, they take unusual shapes which depend on the raft properties. These drops can then be encapsulated in a thin composite oil-particle layer leading to water droplets in water.Cette thèse porte sur le flambement d'une interface chargée en particules: une monocouche de grains denses et athermaux à une interface liquide-fluide plane que l'on appelle radeau granulaire. Ces radeaux se rident et se plient lorsqu'ils sont compressés comme des films élastiques. Nous étudions cette instabilité de flambement expérimentalement et théoriquement dans ces deux systèmes dans le cadre de la mécanique des milieux continus. Nous commençons par examiner les plis dans des films élastiques denses. Nous soulignons l'influence du poids du film dans la formation du pli. Puis nous explorons le régime des très grandes déformations, après que le film soit entré en contact avec lui-même. Suivant la densité du film, le pli se replie vers l'interface ou s'enfonce vers le fond de la cuve. Ensuite nous étudions les rides et les plis dans les radeaux granulaires compressés uniaxialement. A mesure que la compression augmente, nous observons deux motifs de ride distincts, puis la déformation se localise en un unique pli. Nous prédisons la forme et la taille des plis avec un modèle élastique résolu numériquement. Nous insistons sur les limitations de ce modèle et montrons que le caractère granulaire de ces radeaux n'est pas toujours négligeable. Enfin, nous déposons des gouttes d'eau à la surface des radeaux. Lorsque les particules sont hydrophobes et suffisamment grandes, elles capturent un film d'huile qui sépare la goutte du bain et empêche la coalescence. Puis nous modifions la taille de ces gouttes qui prennent des formes inhabituelles. Ces gouttes peuvent ensuite être encapsulées dans une fine couche de particules et d'huile conduisant à des gouttes d'eau dans l'eau
Folds in floating membranes : from elastic sheets to granular rafts
Cette thèse porte sur le flambement d'une interface chargée en particules: une monocouche de grains denses et athermaux à une interface liquide-fluide plane que l'on appelle radeau granulaire. Ces radeaux se rident et se plient lorsqu'ils sont compressés comme des films élastiques. Nous étudions cette instabilité de flambement expérimentalement et théoriquement dans ces deux systèmes dans le cadre de la mécanique des milieux continus. Nous commençons par examiner les plis dans des films élastiques denses. Nous soulignons l'influence du poids du film dans la formation du pli. Puis nous explorons le régime des très grandes déformations, après que le film soit entré en contact avec lui-même. Suivant la densité du film, le pli se replie vers l'interface ou s'enfonce vers le fond de la cuve. Ensuite nous étudions les rides et les plis dans les radeaux granulaires compressés uniaxialement. A mesure que la compression augmente, nous observons deux motifs de ride distincts, puis la déformation se localise en un unique pli. Nous prédisons la forme et la taille des plis avec un modèle élastique résolu numériquement. Nous insistons sur les limitations de ce modèle et montrons que le caractère granulaire de ces radeaux n'est pas toujours négligeable. Enfin, nous déposons des gouttes d'eau à la surface des radeaux. Lorsque les particules sont hydrophobes et suffisamment grandes, elles capturent un film d'huile qui sépare la goutte du bain et empêche la coalescence. Puis nous modifions la taille de ces gouttes qui prennent des formes inhabituelles. Ces gouttes peuvent ensuite être encapsulées dans une fine couche de particules et d'huile conduisant à des gouttes d'eau dans l'eau.This thesis is concerned with the buckling of a model particle laden interface: a monolayer of dense, athermal particles at a planar liquid-fluid interface that we call a granular raft. Under compression granular rafts wrinkle and fold like elastic sheets. We investigate this buckling instability experimentally and theoretically for these two systems under the continuum mechanics framework. We first look at folds in custom made dense floating elastic sheets. We highlight the influence of the sheet's own weight in the fold formation and shape. Then we explore the regime of very large deformations, after the sheet contacts itself. Depending on the sheet density, the fold in self-contact either bends back toward the interface or sinks down toward the bottom of the tank. We then look at wrinkles and folds in granular rafts. Our experimental apparatus allows us to compress the rafts uniaxially and extract their morphology. As compression increases, we observe two distinct wrinkling patterns, then the deformations localise in a unique fold. We develop an elastic model that we solve numerically to predict the fold shape and size. We then highlight the limitations of the model and show that the granular nature of these rafts cannot always be neglected. Finally, we deposit water droplets on top of granular rafts. If the particles are hydrophobic and large enough, the raft can inhibit coalescence indefinitely via particle bridging. When we vary the size of these floating drops, they take unusual shapes which depend on the raft properties. These drops can then be encapsulated in a thin composite oil-particle layer leading to water droplets in water
Drops Floating on Granular Rafts: A Tool for Liquid Transport and Delivery
International audienceSolid particles can modify the properties of liquid interfaces and are therefore widely used to coat drops, bubbles, and stabilize emulsions and foams. Here, we propose a new, easy, and affordable method to produce millimetric to centimetric water-in-water capsules using solid particles. We prevent the coalescence of a water drop at an oil–water interface using a monolayer of large, dense, and hydrophobic particles: a “granular raft”. The capsule is then formed by a mechanical instability occurring when the interface collapses under the combined load of the floating drop and particle weight. During the destabilization, the water drop sinks into the water subphase through an oil-particle film which covers it to produce the armored capsule. By modeling the raft as a heavy membrane, we predict the floating drop shape, the raft deformation, its destabilization and highlight the complex dual nature (solid- and liquid-like) of the capsule shell. Because armored capsules’ content is isolated, transportable, and easily releasable, they are great candidates for applications requiring transport of water-soluble compounds in aqueous systems such as green chemistry or cell biology
Soft Deployable Structures via Core-Shell Inflatables
Deployable structures capable of significant geometric reconfigurations are ubiquitous in nature. While engineering contraptions typically comprise articulated rigid elements, soft structures that experience material growth for deployment mostly remain the handiwork of biology, e.g., when winged insects deploy their wings during metamorphosis. Here we perform experiments and develop formal models to rationalize the previously unexplored physics of soft deployable structures using core-shell inflatables. We first derive a Maxwell construction to model the expansion of a hyperelastic cylindrical core constrained by a rigid shell. Based on these results, we identify a strategy to obtain synchronized deployment in soft networks. We then show that a single actuated element behaves as an elastic beam with a pressure-dependent bending stiffness which allows us to model complex deployed networks and demonstrate the ability to reconfigure their final shape. Finally, we generalize our results to obtain three-dimensional elastic gridshells, demonstrating our approach’s applicability to assemble complex structures using core-shell inflatables as building blocks. Our results leverage material and geometric nonlinearities to create a low-energy pathway to growth and reconfiguration for soft deployable structures