Inflation and Instability of a Polymeric Membrane

Jesper Neergaard, Ole Hassager

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearch


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.
Original languageEnglish
Title of host publicationThe Society of Rheology 71st. Annual Meeting Abstract Book
Number of pages64
Publication date1999
Publication statusPublished - 1999
Event71st. Annual Meeting of The Society of Rheology - Madison,WI, United States
Duration: 17 Oct 199921 Oct 1999
Conference number: 71


Conference71st. Annual Meeting of The Society of Rheology
Country/TerritoryUnited States

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