JOINED DISSIMILAR ISOTROPIC ELASTIC CYLINDRICAL MEMBRANES UNDER INTERNAL-PRESSURE AND LONGITUDINAL TENSION

The theory of the finite deformation of elastic membranes is applied to the problem of two initially circular semi-infinite cylindrical membranes of the same radius but of different materials joined longitudinally at a cross-section. The body is inflated by constant interior pressure and is also extended longitudinally. An exact solution is found for an arbitrary material. Also considered is a similar problem where two semi-infinite cylindrical membranes of the same material are separated by a cuff of different material. Numerical solutions for a Mooney material are found for a variety of pressures and longitudinal tensions. The model can be considered as a first approximation in the study of surgical implants in an artery.