On the expansion of a deformed cylindrical elastic membrane
R. Tait · IMA Journal of Applied Mathematics · 1997
In the present note we consider the effect of radially expanding one end of a cylindrical elastic membrane that is also subjected to longitudinal extension coupled with a twist. In doing this we start with the results of Tait, Steigmann and Zhong who studied the extension and twist of a cylinder with fixed end radii. We use tension field theory to provide a model of the membrane in wrinkled regions giving rise to explicit analytic solutions within these regions. Elsewhere we rely on a numerical scheme to provide graphical results which are displayed for various quantities of interest.