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Surface instability of a gel disc in swelling

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Abstract

The swelling of a soft disc made of polymeric gel and attached to a fixed substrate is modeled using a variational method in nonlinear elasticity. A linear stability analysis is performed to detect the onset of a surface instability. An exact solution of the perturbed disc is found, and both the threshold values of the growth rates and the surface morphology are derived analytically.

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Authors and Affiliations

  1. CNRS and Institut Jean le Rond d’Alembert, UMR7190, Place Jussieu 4, Case 162, 75005, Paris, France

    P. Ciarletta

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  1. P. Ciarletta
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Correspondence to P. Ciarletta.

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Ciarletta, P. Surface instability of a gel disc in swelling. Eur. Phys. J. E 36, 18 (2013). https://doi.org/10.1140/epje/i2013-13018-y

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  • DOI: https://doi.org/10.1140/epje/i2013-13018-y

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