Equations for the filled inelastic membrane: a more general derivation

• Autores: Michael A.B. Deakin
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 3, 2011, págs. 385-388
• Idioma: inglés
• DOI: 10.1080/0020739x.2010.526250
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• Resumen

  • 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.