Digital instability of a confined elastic meniscus

Biggins, John S.; Saintyves, Baudouin; Wei, Zhiyan; Bouchaud, Élisabeth; Mahadevan, L.

doi:10.1073/pnas.1302269110

Cited by 45 publications

(51 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Even if perfect bonding between the elastic layer and the rigid bodies is maintained, the exposed meniscus can become unstable, forming spatially periodic fingers of air that invade the elastic layer (Fig. 1a) 17-19 . Morphologically the elastic fingering instability resembles the viscous fingering instability in thin fluid layers 20-23 ; however, the elastic and viscous fingering follows different governing laws.…”

Section: Introductionmentioning

confidence: 99%

Fringe instability in constrained soft elastic layers

et al. 2016

View full text Add to dashboard Cite

Soft elastic layers with top and bottom surfaces adhered to rigid bodies are abundant in biological organisms and engineering applications. As the rigid bodies are pulled apart, the stressed layer can exhibit various modes of mechanical instabilities. In cases where the layer's thickness is much smaller than its length and width, the dominant modes that have been studied are the cavitation, interfacial and fingering instabilities. Here we report a new mode of instability which emerges if the thickness of the constrained elastic layer is comparable to or smaller than its width. In this case, the middle portion along the layer's thickness elongates nearly uniformly while the constrained fringe portions of the layer deform nonuniformly. When the applied stretch reaches a critical value, the exposed free surfaces of the fringe portions begin to undulate periodically without debonding from the rigid bodies, giving the fringe instability. We use experiments, theory and numerical simulations to quantitatively explain the fringe instability and derive scaling laws for its critical stress, critical strain and wavelength. We show that in a force controlled setting the elastic fingering instability is associated with a snap-through buckling that does not exist for the fringe instability. The discovery of the fringe instability will not only advance the understanding of mechanical instabilities in soft materials but also have implications on biological and engineered adhesives and joints.

show abstract

Section: Introductionmentioning

confidence: 99%

Fringe instability in constrained soft elastic layers

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Experimental findings ( Ghatak and Chaudhury, 2003 ;Ghatak et al, 2004 ) and simulations of 3-D deformations ( Biggins et al, 2013 ;Mukherjee et al, 2016a ) suggest that the adhesion-induced instability triggers oscillations in the out-of-plane (the y-) direction resulting in a fingerlike debonding front. However, the assumption of plane strain deformations, and hence no variation in the out-ofplane direction, forces the instability to develop in the x -direction.…”

Section: Limitationsmentioning

confidence: 99%

Effect of confinement and interfacial adhesion on peeling of a flexible plate from an elastomeric layer

Mukherjee

Batra

Dillard

2017

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tThe finite element method and a cohesive zone model are used to analyze plane strain interfacial debonding of an elastomeric layer from an overhanging deformable plate when it is peeled off by applying a normal displacement at the edge of the overhang. The commercial software, ABAQUS, is employed in this work that is focused on understanding the collective role of the following two non-dimensional parameters: (i) the confinement parameter, α, defined in terms of the flexural rigidity of the plate, and the modulus and the thickness of the interlayer, and (ii) the adhesion parameter, φ, defined in terms of the cohesive zone parameters and the modulus to thickness ratio of the interlayer. The interfacial adhesion is characterized by a bilinear traction-separation (TS) relation. Numerical experiments reveal that when α is greater than α c , damage initiates at an interior point on the interface and at the interface corner on the traction-free edge irrespective of the value of φ. However, φ must be greater than φ c for the debonding to become wavy/undulatory. The critical value, φ c , of the adhesion parameter agrees with the necessary condition found in our previous work on debonding of an elastomeric layer from a rigid block when it is uniformly pulled outward. For α < α c , damage/debonding initiates only from the interface corner, and no wavy debonding ensues. The peak peeling force prior to the initiation of an internal debond is found to be a monotonically increasing function of φ/ α, suggesting its potential use as a design variable and as a guide for determining the TS parameters. Results of a few additional numerical experiments in which the elastomeric layer can debond from both adherends provide insights into designing a demolding process for a sandwiched elastomeric layer.

show abstract

“…The amplitude of the stress is then of the order of the elastic modulus, a situation commonly encountered with soft materials. Specific and fascinating patterns, reminiscent of those that can be seen in hydrodynamics, can then occur spontaneously [1][2][3][4][5][6][7][8][9][10].…”

mentioning

confidence: 99%

Gravity Driven Instability in Elastic Solid Layers

et al. 2014

View full text Add to dashboard Cite

We demonstrate the instability of the free surface of a soft elastic solid facing downwards. Experiments are carried out using a gel of constant density ρ, shear modulus µ, put in a rigid cylindrical dish of depth h. When turned upside down, the free surface of the gel undergoes a normal outgoing acceleration g. It remains perfectly flat for ρgh/µ < α * with α * 6, whereas a steady pattern spontaneously appears in the opposite case. This phenomenon results from the interplay between the gravitational energy and the elastic energy of deformation, which reduces the Rayleigh waves celerity and vanishes it at the threshold.

show abstract

Digital instability of a confined elastic meniscus

Cited by 45 publications

References 15 publications

Fringe instability in constrained soft elastic layers

Fringe instability in constrained soft elastic layers

Effect of confinement and interfacial adhesion on peeling of a flexible plate from an elastomeric layer

Gravity Driven Instability in Elastic Solid Layers

Contact Info

Product

Resources

About