Finite Axisymmetric Deformations of Initially Cylindrical Reinforced Membranes.

摘要

The axisymmetric deformations of an initially cylindrical membrane composed of an elastic,homogeneous,isotropic and incompressible material reinforced with a two-parameter system of perfectly flexible and inextensible helicoidal cords of variable pitch are considered. The undeformed configuration is determined so that the deformed membrane has a given axial section under specified internal pressure. The corresponding stress field and cord tensions are obtained. The solution given is exact and valid for the general form of the strain-energy function. (Author)