Elastocapillary adhesion of a soft cap on a rigid sphere

Bense, Hadrien; Tani, Marie; Saint-Jean, M.; Reyssat, Étienne; Roman, Benoît; Bico, José

doi:10.1039/c9sm02057h

Cited by 10 publications

(6 citation statements)

References 16 publications

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“…We have shown that the threshold size

above which a bendable sheet delaminates from an adhesive spherical substrate is not determined merely by the adhesion strength and stretching modulus, as has been supposed previously ( 3 , 15 , 34 , 35 ). Instead, there is a strong effect of the bending modulus underlying the nontrivial dependence of

on the two-dimensionless groups β and ϵ that is given in Eq.…”

Section: Discussionsupporting

confidence: 63%

Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling

Box

Domino

Corvo

et al. 2023

Proc. Natl. Acad. Sci. U.S.A.

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Everyday experience confirms the tendency of adhesive films to detach from spheroidal regions of rigid substrates—what is a petty frustration when placing a sticky band aid onto a knee is a more serious matter in the coating and painting industries. Irrespective of their resistance to bending, a key driver of such phenomena is Gauss’ Theorema Egregium , which implies that naturally flat sheets cannot conform to doubly curved surfaces without developing a strain whose magnitude grows sharply with the curved area. Previous attempts to characterize the onset of curvature-induced delamination, and the complex patterns it gives rise to, assumed a dewetting-like mechanism in which the propensity of two materials to form contact through interfacial energy is modified by an elastic energy penalty. We show that this approach may characterize moderately bendable sheets but fails qualitatively to describe the curvature-induced delamination of ultrathin films, whose mechanics is governed by their propensity to buckle and delaminate partially, under minute levels of compression. Combining mechanical and geometrical considerations, we introduce a minimal model for curvature-induced delamination accounting for the two buckling motifs that underlie partial delamination: shallow “rucks” and localized “folds”. We predict nontrivial scaling rules for the onset of curvature-induced delamination and various features of the emerging patterns, which compare well with experiments. Beyond gaining control on the use of ultrathin adhesives in cutting-edge technologies such as stretchable electronics, our analysis is a significant step toward quantifying the multiscale morphology that emerges upon imposing geometrical and mechanical constraints on highly bendable solid objects.

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“…We have shown that the threshold size

on the two-dimensionless groups β and ϵ that is given in Eq.…”

Section: Discussionsupporting

confidence: 63%

Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling

Box

Domino

Corvo

et al. 2023

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

show abstract

“…We have shown that the threshold size Wc above which a bendable sheet delaminates from an adhesive spheri-cal substrate is not determined merely by the adhesion strength and stretching modulus, as has been supposed previously [5,16,31,32]. Instead, there is a strong effect of the bending modulus underlying the nontrivial dependence of Wc on the two dimensionless groups β and that is given in (24).…”

Section: Discussionsupporting

confidence: 56%

Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling

Box¹,

Domino²,

Corvo³

et al. 2022

Preprint

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Everyday experience confirms the tendency of adhesive films to detach from spheroidal regions of rigid substrates -what is a petty frustration when placing a sticky bandage onto an elbow or knee is a more serious matter in the coating and painting industries. Irrespective of their resistance to bending, a key driver of such phenomena is Gauss' Theorema Egregium, which implies that naturally flat sheets cannot conform to doubly-curved surfaces without developing a strain whose magnitude grows sharply with the curved area. Previous attempts to characterize the onset of curvature-induced delamination, and the complex patterns it gives rise to, assumed a dewetting-like mechanism in which the propensity of two materials to form contact through interfacial energy is modified by an elastic energy penalty. We show that this approach may characterize moderately bendable adhesive sheets, but fails qualitatively to describe the curvature-induced delamination of ultrathin films, whose mechanics is governed by their propensity to buckle under minute levels of compression. Combining mechanical and geometrical considerations, we introduce a minimal model for curvature-induced delamination that accounts for two elementary buckling motifs, shallow "rucks" and localized "folds". We predict nontrivial scaling rules for the onset of curvature-induced delamination and various features of the emerging patterns, which compare well with experimental observations. Beyond gaining control on the use of ultrathin adhesives in cutting edge technologies such as stretchable electronics, our analysis is a significant step towards quantifying the multiscale morphological complexity that emerges upon imposing geometrical and mechanical constraints on highly bendable solid objects.

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“…The inherent simplicity of uniaxial compression, whereby the stress field in the sheet is a scalar function (often a constant), has also been exploited to study the gravity-limited deflection of a heavy sheet from a non-adhesive floor as a model for deformation patterns in rugs [5,9], and the periodic delamination pattern from an adhesive compliant substrate [5]. A related, yet far richer delamination morphology is observed when exerting a biaxial compression on an adhesive sheet that is supported on a rigid [10,11] or compliant substrate [12][13][14], or upon attaching a sheet [15] or a shell [16] onto a substrate of spherical shape. The morphological complexity in such cases stems from the nontrivial relaxation of a non-uniform stress through delamination zones [17,18] and substrate deformation [19].…”

Section: Introductionmentioning

confidence: 99%

Rucks and folds: delamination from a flat rigid substrate under uniaxial compression

Davidovitch

Démery

2021

Eur. Phys. J. E

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We revisit the delamination of a solid adhesive sheet under uniaxial compression from a flat, rigid substrate. Using energetic considerations and scaling arguments we show that the phenomenology is governed by three dimensionless groups, which characterize the level of confinement imposed on the sheet, as well as its extensibility and bendability. Recognizing that delamination emerges through a subcritical bifurcation from a planar, uniformly compressed state, we predict that the dependence of the threshold confinement level on the extensibility and bendability of the sheet, as well as the delaminated shape at threshold, varies markedly between two asymptotic regimes of these parameters. For sheets whose bendability is sufficiently high the delaminated shape is a large-slope "fold", where the amplitude is proportional to the imposed confinement. In contrast, for lower values of the bendability parameter the delaminated shape is a small-slope "ruck", whose amplitude increases more moderately upon increasing confinement. Realizing that the instability of the fully laminated state requires a finite extensibility of the sheet, we introduce a simple model that allows us to construct a bifurcation diagram that governs the delamination process.

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Elastocapillary adhesion of a soft cap on a rigid sphere

Abstract: The capillary adhesion of soft shells on spheres of different curvature gives rise to a family of complex adhesion patterns.

Cited by 10 publications

References 16 publications

Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling

Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling

Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling

Rucks and folds: delamination from a flat rigid substrate under uniaxial compression

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