Growth of gas-filled penny-shaped cracks in decompressed hydrogels

Zhang, Yansheng; Etzold, Merlin A.; Lefauve, Adrien

doi:10.1039/d0sm01795g

Cited by 3 publications

(12 citation statements)

References 31 publications

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“…For the present study, in the interest of generality, we follow Tokita & Tanaka (1991) and Etzold et al (2021) by defining…”

Section: Governing Equationsmentioning

confidence: 99%

“…at ambient laboratory conditions. For a purely cuboidal network swelled isotropically, previous researchers have proposed β = 2/3 (Etzold et al 2021). Al-Amodi & Hill (2022) argued that β = 2/3 could also be obtained for a polyelectrolyte network by considering an affine transformation, a less restrictive condition than that imposed by Etzold et al (2021).…”

Section: Governing Equationsmentioning

confidence: 99%

“…when studying decompression sickness; Walsh et al. 2017; Zhang, Etzold & Lefauve 2021). Indeed, for over sixty years, since the pioneering work of Wichterle & Lim (1960) who developed the first contact lens using a polyhydroxyethylmethacrylate bio-compatible hydrogel, hydrogels have been extensively used across many medical applications (Hoffman 2012).…”

Section: Introductionmentioning

confidence: 99%

“…This, and the fact that hydrogels have similar physico-chemical characteristics to many tissues (Drury & Mooney 2003;Hoffman 2012), makes hydrogels an excellent substitute for tissues in the laboratory (e.g. when studying decompression sickness; Walsh et al 2017;Zhang, Etzold & Lefauve 2021). Indeed, for over sixty years, since the pioneering work of Wichterle & Lim (1960) who developed the first contact lens using a polyhydroxyethylmethacrylate bio-compatible hydrogel, hydrogels have been extensively used across many medical applications (Hoffman 2012).…”

Section: Introductionmentioning

confidence: 99%

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Droplet absorption and spreading into thin layers of polymer hydrogels

Etzold,

Fortune,

Landel

et al. 2023

J. Fluid Mech.

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From biological tissues to microactuators and absorption of solvents into layers of paint, macroscopically non-porous materials with the capacity to swell when in contact with a solvent are ubiquitous. In these systems, owing to strong solid–fluid interactions, chemically driven flows can yield large geometric changes. We study experimentally and theoretically the canonical problem of the swelling of a thin hydrogel layer by a single water drop. Using a bespoke experimental set-up, we observe fast absorption leading to a radially spreading axisymmetric blister. We use a fully three-dimensional linear poroelastic framework with nonlinear kinematic equations to obtain governing equations, which we then reduce with thin-layer scalings to a one-dimensional nonlinear diffusion equation for the evolution of the blister geometry. In the limits of large and small deformations, the evolution of the blister characteristic height and radius are self-similar, following power laws in time. Our experimental measurements show that the evolution of the blister is broadly within the theoretical predictions in the large and small deformation regimes. In the general intermediate deformation regime, the measurements are well captured by our reduced one-dimensional diffusion model, which does not require the sophisticated and computationally expensive numerical approaches necessary for the original two-dimensional nonlinear coupled transport problem. By adapting modelling techniques from the fluid dynamics of thin porous elastic layers to a polymer swelling problem, our modelling framework extends the range of polymer swelling problems that can be treated with semi-analytical methods. Moreover, our detailed experimental data can serve as a test case for future nonlinear poroelastic frameworks of swelling polymer materials.

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“…For the present study, in the interest of generality, we follow Tokita & Tanaka (1991) and Etzold et al (2021) by defining…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Droplet absorption and spreading into thin layers of polymer hydrogels

Etzold,

Fortune,

Landel

et al. 2023

J. Fluid Mech.

Self Cite

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show abstract

“…Since their physico-chemical characteristics are similar to many tissues [12,13], they have been used as tissue models in laboratory experiments (e.g. for decompression sickness; [14,15]). In tissue engineering, they are used as a matrix framework for the repair and regeneration of a wide range of tissues and organs [16][17][18].…”

mentioning

confidence: 99%

Droplet absorption and spreading into thin layers of polymer hydrogels

Etzold¹,

Fortune²,

Landel³

et al. 2022

Preprint

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From biological tissues to layers of paint, materials with the capacity to swell are ubiquitous.Here, we study experimentally and theoretically one of the conceptually simplest of such systems, the swelling of a thin hydrogel layer by a single water drop. Using a bespoke experimental setup, we observe fast absorption leading to a radially spreading axisymmetric blister. Employing a linear poroelastic framework and thin-layer scalings, we develop a non-linear one-dimensional diffusion equation for the evolution of the blister height profile, which agrees well with experimental observations. .

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