Finite Deformations of Nonlinear, Orthotropic Cylindrical Shells

Abstract

The nonbuckling finite deformations of an orthotropic, thin wall cylinder are investigated. The cylinder is made of a nonlinear material and subjected to internal pressure, end load and torque. Initially the stresses and strains in the cylinder are assumed to be axially homogeneous. The model is then extended to include axially nonhomogeneous stresses and strains that may arise due to particular displacement boundary conditions such as radial confinement at the edges. The loads are applied to the cylinder incrementally, the finite strains are computed, and adjustments are made in cylinder dimensions and the constitutive law to account for geometric and material nonlinearities. Parametric studies show how the deformation behavior is influenced by the orientation of the angle of material orthotropy. Results may be applied to the design of pressure controlled robotic actuators and manipulators.