On a theory for large elastic deformation of shells of revolution including torsion and thick-shell effects

Abstract

This paper presents a set of equations governing the behavior of elastic shells of revolution undergoing large axisymmetric deformations. The approximate theory includes torsion, transverse shear deformation, and transverse normal stress and strain but neglects body forces. Within the limits of large membrane and moderately large bending and transverse shear strains, a two-dimensional strain-energy density function is developed for a general incompressible, hyperelastic shell material.