Equations for the filled inelastic membrane: A more general derivation

Michael Deakin

Research output: Contribution to journalArticleResearchpeer-review


An earlier paper discussed the case of a flexible but inextensible membrane filled to capacity with incompressible fluid. It was found that the resulting shape satisfies a set of three simultaneous partial differential equations. This article gives a more general derivation of these equations and shows their form in an interesting special case.
Original languageEnglish
Pages (from-to)385 - 388
Number of pages4
JournalInternational Journal of Mathematical Education in Science and Technology
Issue number3
Publication statusPublished - 2011

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