“…The study of the interaction between elastic and capillary forces is relevant to phenomena such as self-folding of solid sheets (commonly referred to as capillary origami, Py et al 2007b;Pineirua, Bico & Roman 2010;Antkowiak et al 2011), densification of patterned arrays of carbon nanotubes (Journet et al 2005;Huang et al 2007;Zhao et al 2010;De Volder et al 2010, and self-assembly and modification of the mechanical and geometrical properties of arrays of solid structures (Chandra et al 2009;Pokroy et al 2009;Chiodi, Roman & Bico 2010;Duan & Berggren 2010;Elwenspoek et al 2010;Kang et al 2011).…”
Section: Introductionmentioning
confidence: 99%
“…Experimental studies of elasto-capillary coalescence of multiple elastic structures include the works of Py et al (2007a), Chandra et al (2009), Pokroy et al (2009), Chandra & Yang (2010), Chiodi et al (2010), Duan & Berggren (2010), Elwenspoek et al (2010), and Kang et al (2011). Previous theoretical studies of elasto-capillary coalescence (e. Py et al 2007a;Chandra et al 2009;Chiodi et al 2010) followed the approach of Bico et al (2004) and analysed the post-coalescence state utilizing energy minimization analysis.…”
We analyse two-dimensional clamped parallel elastic sheets which are partially immersed in liquid as a model for elasto-capillary coalescence. In the existing literature this problem is studied via minimal energy analysis of capillary and elastic energies of the post-coalescence state, yielding the maximal stable post-coalescence bundle size. Utilizing modal stability analysis and asymptotic analysis, we studied the stability of the configuration before the coalescence occurred. Our analysis revealed previously unreported relations between viscous forces, body forces, and the instability yielding the coalescence, thus undermining a common assumption that coalescence will occur as long as it will not create a bundle larger than the maximal stable post-coalesced size. A mathematical description of the process creating the hierarchical coalescence structure was obtained and yielded that the mean number of sheets per coalesced region is limited to the subset 2 N where N is the set of natural numbers. Our theoretical results were illustrated by experiments and good agreement with the theoretical predictions was observed.
“…The study of the interaction between elastic and capillary forces is relevant to phenomena such as self-folding of solid sheets (commonly referred to as capillary origami, Py et al 2007b;Pineirua, Bico & Roman 2010;Antkowiak et al 2011), densification of patterned arrays of carbon nanotubes (Journet et al 2005;Huang et al 2007;Zhao et al 2010;De Volder et al 2010, and self-assembly and modification of the mechanical and geometrical properties of arrays of solid structures (Chandra et al 2009;Pokroy et al 2009;Chiodi, Roman & Bico 2010;Duan & Berggren 2010;Elwenspoek et al 2010;Kang et al 2011).…”
Section: Introductionmentioning
confidence: 99%
“…Experimental studies of elasto-capillary coalescence of multiple elastic structures include the works of Py et al (2007a), Chandra et al (2009), Pokroy et al (2009), Chandra & Yang (2010), Chiodi et al (2010), Duan & Berggren (2010), Elwenspoek et al (2010), and Kang et al (2011). Previous theoretical studies of elasto-capillary coalescence (e. Py et al 2007a;Chandra et al 2009;Chiodi et al 2010) followed the approach of Bico et al (2004) and analysed the post-coalescence state utilizing energy minimization analysis.…”
We analyse two-dimensional clamped parallel elastic sheets which are partially immersed in liquid as a model for elasto-capillary coalescence. In the existing literature this problem is studied via minimal energy analysis of capillary and elastic energies of the post-coalescence state, yielding the maximal stable post-coalescence bundle size. Utilizing modal stability analysis and asymptotic analysis, we studied the stability of the configuration before the coalescence occurred. Our analysis revealed previously unreported relations between viscous forces, body forces, and the instability yielding the coalescence, thus undermining a common assumption that coalescence will occur as long as it will not create a bundle larger than the maximal stable post-coalesced size. A mathematical description of the process creating the hierarchical coalescence structure was obtained and yielded that the mean number of sheets per coalesced region is limited to the subset 2 N where N is the set of natural numbers. Our theoretical results were illustrated by experiments and good agreement with the theoretical predictions was observed.
“…However, much less is known about particle deposition in confined geometries, despite the fact that many real systems [20] and applications [21] feature evaporation in geometries wherein the air-water interface is present only at the system edges. Recent experiments have explored evaporation of confined drops containing spheres [15,22], and their behaviors differ dramatically from sessile drops containing spheres. In the confined case, as noted previously, particles are pushed to the ribbonlike air-fluid interface, and, as evaporation proceeds, the particle-covered air-water interface often undergoes the buckling events described above.…”
We investigate the influence of particle shape on the bending rigidity of colloidal monolayer membranes (CMMs) and on evaporative processes associated with these membranes. Aqueous suspensions of colloidal particles are confined between glass plates and allowed to evaporate. Confinement creates ribbonlike air-water interfaces and facilitates measurement and characterization of CMM geometry during drying. Interestingly, interfacial buckling events occur during evaporation. Extension of the description of buckled elastic membranes to our quasi-2D geometry enables the determination of the ratio of CMM bending rigidity to its Young's modulus. Bending rigidity increases with increasing particle anisotropy, and particle deposition during evaporation is strongly affected by membrane elastic properties. During drying, spheres are deposited heterogeneously, but ellipsoids are not. Apparently, increased bending rigidity reduces contact line bending and pinning and induces uniform deposition of ellipsoids. Surprisingly, suspensions of spheres doped with a small number of ellipsoids are also deposited uniformly.
“…Examples abound in soft materials and chemical systems including microscale reactiondiffusion patterns 16,17 , self-assembly of block copolymers 18 and helical aggregation of polymer nanopillars 19,20 . However, many of these processes need further development to achieve high production rates and uniformity over large areas.…”
The skins of many plants and animals have intricate microscale surface features that give rise to properties such as directed water repellency and adhesion, camouflage, and resistance to fouling. However, engineered mimicry of these designs has been restrained by the limited capabilities of top-down fabrication processes. Here we demonstrate a new technique for scalable manufacturing of freeform microstructures via strain-engineered growth of aligned carbon nanotubes (CNTs). Offset patterning of the CNT growth catalyst is used to locally modulate the CNT growth rate. This causes the CNTs to collectively bend during growth, with exceptional uniformity over large areas. The final shape of the curved CNT microstructures can be designed via finite element modeling, and compound catalyst shapes produce microstructures with multidirectional curvature and unusual self-organized patterns. Conformal coating of the CNTs enables tuning of the mechanical properties independently from the microstructure geometry, representing a versatile principle for design and manufacturing of complex microstructured surfaces.
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