Contact Instability of Elastic Bilayers: Miniaturization of Instability Patterns

Mukherjee, Rabibrata; Pangule, Ravindra C.; Sharma, Ashutosh; Tomar, Gaurav

doi:10.1002/adfm.200600896

Cited by 37 publications

(60 citation statements)

References 44 publications

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“…The jump was shown to be a result of bimodality in the free energy curves. These theoretical observations were also corroborated with experimental results [21]. Similar conclusions were presented in Yoon et al [22] where the analysis was performed using an approximate analysis based on Kerr-type formulation [23].…”

Section: Introductionsupporting

confidence: 86%

Contact instabilities of anisotropic and inhomogeneous soft elastic films

Tomar

Sharma

2012

Phys. Rev. E

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Anisotropy plays important roles in various biological phenomena such as adhesion of geckos and grasshoppers enabled by the attachment pods having hierarchical structures like thin longitudinal setae connected with threads mimicked by anisotropic films. We study the contact instability of a transversely isotropic thin elastic film when it comes in contact proximity of another surface. In the present study we investigate the contact stability of a thin incompressible transversely isotropic film by performing linear stability analysis. Based on the linear stability analysis, we show that an approaching contactor renders the film unstable. The critical wavelength of the instability is a function of the total film thickness and the ratio of the Young's modulus in the longitudinal direction and the shear modulus in the plane containing the longitudinal axis. We also analyze the stability of a thin gradient film that is elastically inhomogeneous across its thickness. Compared to a homogeneous elastic film, it becomes unstable with a longer wavelength when the film becomes softer in going from the surface to the substrate.

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Section: Introductionsupporting

confidence: 86%

Contact instabilities of anisotropic and inhomogeneous soft elastic films

Tomar

Sharma

2012

Phys. Rev. E

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“…Increased substrate amplitude, b, engenders progressively smaller wave lengths which can be as low as 0.34 Ã h for the VDW force and 0.3 Ã h when the electric field is applied at b $ 0.9. These pattern length scales are similar to the minimum wavelength obtained in elastic bilayers, $0.5 Ã h [36,37].…”

Section: Discussionmentioning

confidence: 55%

“…More recently, instability of an elastic bilayer was analyzed to explore if surface length scales smaller than 3 Ã h can be achieved, as miniaturization of instability patterns by this self-organization route can be a potential technique for micro-patterning of soft functional films. PDMS-metal bilayers were still found to give a wavelength $3 Ã h [33], whereas viscous-viscous [34], visco-elastic [35] and elasticelastic bilayers [36,37] showed lower length scales, with the smallest being $0.5 Ã h for the elastic bilayers.…”

Section: Introductionmentioning

confidence: 93%

“…Since in the linear stability analysis we are looking at only the onset of instability, which occurs at a gap distance of few nanometers in the case of VDW interactions and even higher values (up to the micron range) in the case of a long-ranged electric field, this term is neglected. The range of the film thicknesses of importance considered in the experiments as well as in the simulation studies are generally of the order of few microns [11][12][13][14][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Hence, any destabilizing interactions of the film surface with the substrate are of little consequence and do not contribute to the interaction energy.…”

Section: Mathematical Formulationmentioning

confidence: 99%

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Contact Instability of a Soft Elastic Film Bonded to a Patterned Substrate

Sarkar

Annepu

Sharma

2011

The Journal of Adhesion

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A linear stability analysis is presented for the contact instability of a soft thin elastic film which is rigidly bonded to a physically patterned substrate, and is in adhesive contact with a smooth rigid contactor. Increasing roughness by enhancing the substrate-amplitude produces increasingly smaller instability length-scales. The smallest wavelengths obtainable are 0.3 Ã h, an order of magnitude smaller than that observed with films on flat substrates (3 Ã h). Instability length-scales are found to be largely independent of substrate length-scales. For van der Waals interaction, increase in substrate roughness increases the energy penalty and, consequently, requires smaller gap distances (< 1nm for stiff films) to engender instabilities. When an externally controllable long-range electric field is employed instead, instabilities can be initiated at very low critical voltages ($32 V) even in relatively stiff films, making it a more suitable route to produce miniaturized instability patterns.

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“…In the present review, we aim to discuss the whole range of contact angles and how it affects the morphology of the dried residue. Interplay of related factors such as the chemistry of the materials, interface tensions involved, and physical properties such as elastic or viscoelastic moduli and ambient drying conditions all need to be taken into consideration [71]. There can also be external perturbations such as electric/magnetic fields, heating/cooling of the substrate, or mechanical Advances in Condensed Matter Physics 3 perturbations.…”

Section: Introductionmentioning

confidence: 99%

Droplet Drying Patterns on Solid Substrates: From Hydrophilic to Superhydrophobic Contact to Levitating Drops

Tarafdar

Tarasevich

Choudhury

et al. 2018

Advances in Condensed Matter Physics

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This review is devoted to the simple process of drying a multicomponent droplet of a complex fluid which may contain salt or other inclusions. These processes provide a fascinating subject for study. The explanation of the rich variety of patterns formed is not only an academic challenge but also a problem of practical importance, as applications are growing in medical diagnosis and improvement of coating/printing technology. The fundamental scientific problem is the study of the mechanism of microand nanoparticle self-organization in open systems. The specific fundamental problems to be solved, related to this system, are the investigation of the mass transfer processes, the formation and evolution of phase fronts, and the identification of mechanisms of pattern formation. The drops of liquid containing dissolved substances and suspended particles are assumed to be drying on a horizontal solid insoluble smooth substrate. The chemical composition and macroscopic properties of the complex fluid, the concentration and nature of the salt, the surface energy of the substrate, and the interaction between the fluid and substrate which determines the wetting all affect the final morphology of the dried film. The range of our study encompasses the fully wetting case with zero contact angle between the fluid and substrate to the case where the drop is levitated in space, so there is no contact with a substrate and angle of contact can be considered as 180 ∘ .

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Contact Instability of Elastic Bilayers: Miniaturization of Instability Patterns

Cited by 37 publications

References 44 publications

Contact instabilities of anisotropic and inhomogeneous soft elastic films

Contact instabilities of anisotropic and inhomogeneous soft elastic films

Contact Instability of a Soft Elastic Film Bonded to a Patterned Substrate

Droplet Drying Patterns on Solid Substrates: From Hydrophilic to Superhydrophobic Contact to Levitating Drops

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