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Wrinkling instabilities of swelling hydrogels
Joseph J Webber1, M Grae Worster1
1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom.
Physical Review. E
|May 17, 2024
Summary
Hydrogel wrinkling instabilities form to release stress between layers and water. These complex buckling patterns evolve through distinct phases influenced by swelling and fluid transport over time.
Area of Science:
- Materials Science
- Soft Matter Physics
- Chemical Engineering
Background:
- Hydrogels are widely used in biomedical and industrial applications.
- Interface instabilities can significantly alter material properties and performance.
- Understanding wrinkling formation in hydrogels is crucial for designing reliable soft materials.
Purpose of the Study:
- To investigate the formation and evolution of wrinkling instabilities at hydrogel-water interfaces.
- To establish a theoretical framework for predicting hydrogel buckling behavior.
- To elucidate the role of differential swelling and fluid transport in instability dynamics.
Main Methods:
- Utilized a linear-elastic-nonlinear-swelling model for hydrogel behavior.
- Determined criteria for marginal stability and normal mode growth rates.
- Analyzed the influence of differential swelling on interface stability.
Main Results:
- Identified three distinct phases of wrinkling instability: rapid initial growth, intermediate driven by fluid transport, and slow late-stage growth.
- Buckle wavelength increases with the square root of time during initial phases.
- Explained transient and permanent wrinkling behaviors based on swelling dynamics.
Conclusions:
- Hydrogel wrinkling is a stress-relief mechanism governed by swelling and fluid transport.
- The dynamics of instability are highly dependent on the timescale of swelling and solvent diffusion.
- The developed model provides insights into the design and stability of hydrogel-based devices.

