title: Surface instability of a gel disc in swelling.
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.
authors: CNRS and Institut Jean le Rond d'Alembert, UMR7190, Place Jussieu 4, Case 162, 75005, Paris, France. pasquale.ciarletta@upmc.fr
authors: P
authors: P
authors: Ciarletta