Hassager, Ole

Neergaard, Jesper

We consider an axisymmetric polymeric membrane inflated by a uniform pressure difference acting across the membrane. The polymeric materialis described by an arbitrary combination of a viscoelastic and a purely viscous component to the stress. Some viscoelastic materials described by a Mooney-Rivlin model show a monotone increasingpressure during inflation of a spherical membrane. These materials develop a homogeneous membrane thickness in agreement with the Considere-Pearson condition. Molecularly based models such as the neo-Hookean, Doi-Edwards or Tom-Pom model show a pressure maximum when inflated. Membranesdescribed by these models develop a local thinning of the membrane which may lead to bursting in finite time

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Inflation and Instability of a Polymeric Membrane

We consider the inflation of an axisymmetric polymeric membrane. Some membranes composed of viscoelastic materials described by a Mooney-Rivlin model show a monotone increasingpressure during inflation. These materialsdevelop a homogeneous membrane thickness in agreement with the Considere-Pearson condition.Molecularly based models such as the neo-Hookean, Doi-Edwards or Tom-Pom model exhibit a pressure maximum when inflated. Membranes described by these models develop local thinning which may lead to bursting in finite time. Chain branching is found to be a stabilizing factor for a polymer membrane undergoing inflation

Inflation and Instability of a Polymeric Membrane

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Online Research Database In Technology

Online Research Database In Technology