Non linear elastic axisymmetric deformation of membranes with torsion

Abstract

In this paper we formulate the problem of finite axisymmetric inflation with a superposed finite twist applied to an initially cylindrical membrane of Mooney-Rivlin material sealed at both ends with rigid plugs. The system of differential equations is solved numerically. Subsequently we examine the same problem but with infinitesimal twist superposed to a finite initial inflation.