A Variational Principle Based Approach for General Solution to Transverse Isotropic Axisymmetric Cylinder Problem

Abstract

Deformation of solid or hollow cylinders with transverse isotropic material under axisymmetric loading is one of the oldest problems. A general field solution is highly sought after, as this problem finds application in various fields. In the present work, this problem has been formulated starting with basic curvilinear kinematics and governing equations are derived using Reissner’s variational principle. Non-singular solutions have been derived and have been validated with literature for specific cases.