Abstract
A numerical scheme is presented for modelling the axisymmetric inflation of a thin incompressible isotropic sheet up to a rigid obstacle under the action of a uniform pressure. A membrane model is assumed for the behaviour of the sheet. When the sheet makes contact with the obstacle it is further assumed that a condition of total sticking occurs. In the scheme the equilibrium and constitutive equations are kept separate and a modified H 1-Galerkin technique using cubic Hermite approximations is employed. Numerical results are presented for the cases of both flat and elliptical obstacles and for both materials of the Mooney-Rivlin elastic type and of a viscoelastic generalization of the Mooney-Rivlin model.
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