Fabrication of slender elastic shells by the coating of curved surfaces

Lee, Anna; Brun, Pierre-Thomas; Marthelot, Joël; Balestra, Gioele; Gallaire, François; Reis, Pedro

doi:10.1038/ncomms11155

Cited by 97 publications

(124 citation statements)

References 29 publications

Supporting

Mentioning

114

Contrasting

Order By: Relevance

“…The thin elastic shells tested in all of our experiments were fabricated using a previously developed technique [9]. A hemispherical mold (radius R ¼ 24.85 mm, machined out of polyacetal through CNC milling) was coated with a silicone-based polymer solution (VPS, Vinylpolysiloxane Elite Double 32, Zhermack, Badia Polesine, Italy).…”

Section: Fabrication Of Shells Containing a Controlled Geometricmentioning

confidence: 99%

“…To fabricate precisely imperfect thin elastic shells (i.e., shells containing a well-defined geometric imperfection), we use a second technique (itself a modification of that of Ref. [9] mentioned earlier), which we had introduced to investigate the effect of the imperfection amplitude on the critical buckling load [3]. We coated the inner side of a thick hemispherical shell of thickness t mold ¼ 975 lm, used as a mold, which was indented by a flat plate attached to a universal testing machine.…”

Section: Fabrication Of Shells Containing a Controlled Geometricmentioning

confidence: 99%

“…These experiments leveraged a previously developed technique based on a viscous coating mechanism [9] to fabricate thin polymeric shells with significant flexibility and versatility in controlling the underlying parameters. In particular, this experimental protocol yields thin elastic shells of nearly constant thickness, in a rapid, versatile, and precise manner.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Buckling of a Pressurized Hemispherical Shell Subjected to a Probing Force

Marthelot

Jiménez

Lee

et al. 2017

Journal of Applied Mechanics

View full text Add to dashboard Cite

We study the buckling of hemispherical elastic shells subjected to the combined effect of pressure loading and a probing force. We perform an experimental investigation using thin shells of nearly uniform thickness that are fabricated with a well-controlled geometric imperfection. By systematically varying the indentation displacement and the geometry of the probe, we study the effect that the probe-induced deflections have on the buckling strength of our spherical shells. The experimental results are then compared to finite element simulations, as well as to recent theoretical predictions from the literature. Inspired by a nondestructive technique that was recently proposed to evaluate the stability of elastic shells, we characterize the nonlinear load-deflection mechanical response of the probe for different values of the pressure loading. We demonstrate that this nondestructive method is a successful local way to assess the stability of spherical shells.

show abstract

Section: Fabrication Of Shells Containing a Controlled Geometricmentioning

confidence: 99%

Section: Fabrication Of Shells Containing a Controlled Geometricmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Buckling of a Pressurized Hemispherical Shell Subjected to a Probing Force

Marthelot

Jiménez

Lee

et al. 2017

Journal of Applied Mechanics

View full text Add to dashboard Cite

show abstract

“…In the limit of vanishing aspect ratios, δ 1, and negligible surface tension effects, Bo δ 2 , we can show that Eq. north pole [6,20] and a similarity solution for the upper hemicircle, following Couder et al [21]. As seen in Fig.…”

Section: A Lubrication and Linear Perturbation Equationsmentioning

confidence: 94%

“…This salutary feature must have been known empirically by architects for centuries, as one can infer from the curved roofs of traditional hammams, presumably designed in a way to prevent condensed vapor to drip from the ceiling onto clients. Note that similar stabilizing effects also play a central role in the fabrication of thin polymeric shells or chocolate eggs [6]. In other contexts, a variety of stabilizing strategies, including the use of heat and electrical current, have been studied (see Refs.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh-Taylor instability under curved substrates: An optimal transient growth analysis

2016

View full text Add to dashboard Cite

We investigate the stability of thin viscous films coated on the inside of a horizontal cylindrical substrate. In such a case, gravity acts both as a stabilizing force through the progressive drainage of the film and as a destabilizing force prone to form droplets via the Rayleigh-Taylor instability. The drainage solution, derived from lubrication equations, is found asymptotically stable with respect to infinitesimally small perturbations, although in reality, droplets often form. To resolve this paradox, we perform an optimal transient growth analysis for the first-order perturbations of the liquid's interface, generalizing the results of Trinh et al. [Phys. Fluids 26, 051704 (2014)]. We find that the system displays a linear transient growth potential that gives rise to two different scenarios depending on the value of the Bond number (prescribing the relative importance of gravity and surface tension forces). At low Bond numbers, the optimal perturbation of the interface does not generate droplets. In contrast, for higher Bond numbers, perturbations on the upper hemicircle yield gains large enough to potentially form droplets. The gain increases exponentially with the Bond number. In particular, depending on the amplitude of the initial perturbation, we find a critical Bond number above which the short-time linear growth is sufficient to trigger the nonlinear effects required to form dripping droplets. We conclude that the transition to droplets detaching from the substrate is noise and perturbation dependent.

show abstract

Harnessing Gravity‐Induced Instability of Soft Materials: Mechanics and Application

Lü,

Li,

et al. 2024

Adv Funct Materials

View full text Add to dashboard Cite

This work offers a comprehensive overview of how gravity affects soft materials, with a particular emphasis on gravity‐induced instability. Soft materials, including biological tissues, elastomers, and gels, are characterized by low elastic moduli and the ability to undergo significant deformations. These large deformations can lead to instabilities and the emergence of distinctive surface patterns when even small perturbations are introduced. An in‐depth understanding of these gravity‐induced instabilities in soft materials is of paramount importance for both fundamental scientific research and practical applications across diverse domains. The underlying mechanisms governing these instabilities are delved in and elucidate the techniques employed to study and manipulate them. Further, the gravity‐induced wrinkling and the Rayleigh‐Taylor (RT) instability in soft materials are zoomed in, highlighting how altered gravity environments impact natural and synthetic systems. Lastly, current and potential applications are underscored where gravity‐induced instabilities are already making an impact or may hold promise in the near future. In sum, the exploration of gravity‐induced instabilities in soft materials paves the way for innovative applications and advancements in a wide range of fields.

show abstract

Fabrication of slender elastic shells by the coating of curved surfaces

Cited by 97 publications

References 29 publications

Buckling of a Pressurized Hemispherical Shell Subjected to a Probing Force

Buckling of a Pressurized Hemispherical Shell Subjected to a Probing Force

Rayleigh-Taylor instability under curved substrates: An optimal transient growth analysis

Harnessing Gravity‐Induced Instability of Soft Materials: Mechanics and Application

Contact Info

Product

Resources

About