Buckling of swelling gels

Details Buckling of swelling gels Buckling of swelling gels

2005-04-16

arxiv.org/abs/cond-mat/0504406v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1140/epje/i2005-10124-5

The patterns arising from the differential swelling of gels are investigated experimentally and theoretically as a model for the differential growth of living tissues. Two geometries are considered: a thin strip of soft gel clamped to a stiff gel, and a thin corona of soft gel clamped to a disk of stiff gel. When the structure is immersed in water, the soft gel swells and bends out of plane leading to a wavy periodic pattern which wavelength is measured. The linear stability of the flat state is studied in the framework of linear elasticity using the equations for thin plates. The flat state is shown to become unstable to oscillations above a critical swelling rate and the computed wavelengths are in quantitative agreement with the experiment.

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