Annular cracks in thin films of nanoparticle suspensions drying on a fiber

Boulogne, François; Pauchard, Ludovic; Giorgiutti-Dauphiné, F.

doi:10.1209/0295-5075/102/39002

Cited by 12 publications

(10 citation statements)

References 26 publications

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“…The quantitative discrepancy may be explained by the elasticity of the substrate which increases the spacing [50] since it absorbes some elastic energy; But this elasticity is not taken into account in our solution contrary to theirs. Other papers [13,51,52] report a constant value of α independently of h, decreasing when the adhesion decreases, apparently in qualitative agreement with our model. It is however difficult to conclude since adhesion may play on both, debonding energy and bottom friction (which changes the boundary condition at the substrate hence the stress field and elastic energies).…”

Section: For σ B > σ Dsupporting

confidence: 91%

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Fracture spacing in tensile brittle layers adhering to a rigid substrate

Lazarus¹

2017

EPL

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A natural question arising when observing crack networks in brittle layers as e.g. paints, muds, skins, pottery glazes, coatings, ceramics is what determines the distance between cracks. This apparently simple question received a wealth of more or less complex and appropriate answers, but no consensus has emerged. Here, we show that the cracks interact mutually as soon as the spacing between them is smaller than ten times the thickness of the layer. Then, a simple Griffith-type balance between the elastic deformation energy and the fracture bulk and debonding costs captures a broad number of observations, going from the square-root or linear increase of the spacing with the thickness, to its decrease with loading until saturation. The adhesion strength is identified as playing a key role in these behaviour changes. As illustration, we show how the model can be applied to study the influence of the layer thickness on crack patterns. We believe that the versatility of the approach should permit wide applicability, from geosciences to engineering.

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Section: For σ B > σ Dsupporting

confidence: 91%

“…Finally, the present modelling framework is versatile, its extension to other geometries (e.g. multilayers [38], cylinder [52]), loading (e.g. uniaxial tension of the substrate [16]) and dissipation sources (e.g.…”

Section: For σ B > σ Dmentioning

confidence: 99%

Fracture spacing in tensile brittle layers adhering to a rigid substrate

Lazarus¹

2017

EPL

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“…To understand the general situation of a complex three-dimensional network of fibers [20], the wetting has been studied in different fiber configurations. When a liquid is coated on a single fiber [21,22,23], depending upon its rheological properties [24,25], the liquid can undergo a Rayleigh-Plateau instability, which results in a series of droplets [26]. A liquid droplet placed on a single fiber can adopt a barrel shape, a clam-shell shape or detach as gravitational forces dominate capillary forces [27,28,29].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Tuning of the Evaporation Rate of Liquid on Crossed Fibers

Boulogne¹,

Sauret

Soh³

et al. 2015

Langmuir

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We investigate experimentally the drying of a small volume of perfectly wetting liquid on two crossed fibers. We characterize the drying dynamics for the three liquid morphologies that are encountered in this geometry: drop, column, and a mixed morphology, in which a drop and a column coexist. For each morphology, we rationalize our findings with theoretical models that capture the drying kinetics. We find that the evaporation rate significantly depends upon the liquid morphology and that the drying of the liquid column is faster than the evaporation of the drop and the mixed morphology for a given liquid volume. Finally, we illustrate that shearing a network of fibers reduces the angle between them, changes the morphology toward the column state, and therefore, enhances the drying rate of a volatile liquid deposited on it.

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“…Cracks and fractures are very common phenomena occurring in various contexts [1][2][3][4]. They are observed during the desiccation of films made of colloidal suspensions, like bentonite clay or cornstarch [5][6][7][8][9][10][11], in sol-gel films [12,13], in broken objects like windows [14][15][16] or in sea ice [17,18] and ice floes collisions [19,20].…”

Section: Introductionmentioning

confidence: 99%

Tearing of thin sheets: Cracks interacting through an elastic ridge

Brau

2014

Phys. Rev. E

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We study the interaction between two cracks propagating quasistatically during the tearing of a thin brittle sheet. We show that the cracks attract each other following a path described by a power law resulting from the competition between elastic and fracture energies. The power law exponent (8/11) is in close agreement with experiments. We also show that a second (asymptotic) regime, with an exponent of 9/8, emerges for small distances between the two crack tips due to the finite transverse curvature of the elastic ridge joining them.

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Annular cracks in thin films of nanoparticle suspensions drying on a fiber

Cited by 12 publications

References 26 publications

Fracture spacing in tensile brittle layers adhering to a rigid substrate

Fracture spacing in tensile brittle layers adhering to a rigid substrate

Mechanical Tuning of the Evaporation Rate of Liquid on Crossed Fibers

Tearing of thin sheets: Cracks interacting through an elastic ridge

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