Elastic wetting: Substrate-supported droplets confined by soft elastic membranes

Rao, Yifan; Qiao, Shutao; Dai, Zhaohe; Lu, Nanshu

doi:10.1016/j.jmps.2021.104399

Cited by 27 publications

(33 citation statements)

References 56 publications

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“…2a ). This implies a geometric self-similarity or an invariant contact angle of the confined water, like the classical wetting behavior of water droplets on a solid surface 33 . Similar to the classical wetting problem, it is natural to consider the horizontal force balance at the contact line (the vertical balance is enforced already by the up–down symmetry) (Fig.…”

Section: Resultsmentioning

confidence: 95%

“…Detailed analysis is presented in Supplementary Section 5 . We assume that the jump of the slope of the sheet does not cause the discontinuity of the radial stress, i.e., 33 , 34 The simple form of Eq. ( 1 ) benefits from the almost vanished friction at the twisted graphene–graphene interface, which is termed superlubricity 35 , 36 .…”

Section: Resultsmentioning

confidence: 99%

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Elastocapillary cleaning of twisted bilayer graphene interfaces

et al. 2021

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Although layered van der Waals (vdW) materials involve vast interface areas that are often subject to contamination, vdW interactions between layers may squeeze interfacial contaminants into nanopockets. More intriguingly, those nanopockets could spontaneously coalesce into larger ones, which are easier to be squeezed out the atomic channels. Such unusual phenomena have been thought of as an Ostwald ripening process that is driven by the capillarity of the confined liquid. The underlying mechanism, however, is unclear as the crucial role played by the sheet’s elasticity has not been previously appreciated. Here, we demonstrate the coalescence of separated nanopockets and propose a cleaning mechanism in which both elastic and capillary forces are at play. We elucidate this mechanism in terms of control of the nanopocket morphology and the coalescence of nanopockets via a mechanical stretch. Besides, we demonstrate that bilayer graphene interfaces excel in self-renewal phenomena.

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Section: Resultsmentioning

confidence: 95%

Section: Resultsmentioning

confidence: 99%

Elastocapillary cleaning of twisted bilayer graphene interfaces

et al. 2021

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“…For example, the adhesion effect in bubbles formed by linearly elastic plates and membranes has been discussed by Koenig et al (2011), Yue et al (2012), Wang et al (2013), and Boddeti et al (2013). An extension for thin hyperelastic sheets has been recently made by Rao et al (2021). To carefully interpret the adhesion from experimental results, mixed-mode fracture theory or traction-separation relations have been employed by Cao et al (2015Cao et al ( , 2016 and Wood et al (2017).…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional crystals on adhesive substrates subjected to uniform transverse pressure

Dai,

Rao,

2022

Preprint

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In this work we consider bubbles that can form spontaneously when a two-dimensional (2D) crystal is transferred to a substrate with gases or liquids trapped at the crystal-substrate interface. The underlying mechanics may be described by a thin sheet on an adhesive substrate with the trapped fluid applying uniform transverse pressure. What makes this apparently simple problem complex is the rich interplay among geometry, interface, elasticity and instability. Particularly, extensive small-scale experiments have shown that the 2D crystal surrounding a bubble can adhere to and, meanwhile, slide on the substrate. The radially inward sliding causes hoop compression to the 2D crystal which may exploit wrinkling instabilities to relax or partially relax the compression. We present a theoretical model to understand the complex behaviors of even a linearly elastic 2D crystal due to the combination of nonlinear geometry, adhesion, sliding, and wrinkling in bubble systems. We show that this understanding not only successfully predicts the geometry of a spontaneous bubble but also reveals the strain-coupled physics of 2D crystals, e.g., the pseudomagnetic fields in graphene bubbles.

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“…A computational error in the power series solution which was presented by H. Hencky in 1915 [1] was subsequently corrected by Chien in 1948 [5] and Alekseev in 1953 [6], respectively. This solution is usually called Hencky solution, which is often cited in some studies of related issues [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. The closed-form solutions of the circular membrane problem under normal loading are available in a few cases in the existing literature [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric Large Deflection Elastic Analysis of Hollow Annular Membranes under Transverse Uniform Loading

Sun

Zhang

et al. 2021

Symmetry

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The anticipated use of a hollow linearly elastic annular membrane for designing elastic shells has provided an impetus for this paper to investigate the large deflection geometrically nonlinear phenomena of such a hollow linearly elastic annular membrane under transverse uniform loads. The so-called hollow annular membranes differ from the traditional annular membranes available in the literature only in that the former has the inner edge attached to a movable but weightless rigid concentric circular ring while the latter has the inner edge attached to a movable but weightless rigid concentric circular plate. The hollow annular membranes remove the transverse uniform loads distributed on “circular plate” due to the use of “circular ring” and result in a reduction in elastic response. In this paper, the large deflection geometrically nonlinear problem of an initially flat, peripherally fixed, linearly elastic, transversely uniformly loaded hollow annular membrane is formulated, the problem formulated is solved by using power series method, and its closed-form solution is presented for the first time. The convergence and effectiveness of the closed-form solution presented are investigated numerically. A comparison between closed-form solutions for hollow and traditional annular membranes under the same conditions is conducted, to reveal the difference in elastic response, as well as the influence of different closed-form solutions on the anticipated use for designing elastic shells.

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Elastic wetting: Substrate-supported droplets confined by soft elastic membranes

Cited by 27 publications

References 56 publications

Elastocapillary cleaning of twisted bilayer graphene interfaces

Elastocapillary cleaning of twisted bilayer graphene interfaces

Two-dimensional crystals on adhesive substrates subjected to uniform transverse pressure

Axisymmetric Large Deflection Elastic Analysis of Hollow Annular Membranes under Transverse Uniform Loading

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