Abstract
An infinite, non-linearly elastic, polar orthotropic tube is fixed at its outer boundary and attached at its inner boundary to a rigid but movable axle to which a torque is applied. The governing equations are reduced to a two-point boundary-value problem for coupled first- and second-order ordinary differential equations. Analytical, analytical-numerical, and numerical solutions of these equations are obtained and used to compute torque-twist relations for a variety of compressible and incompressible strain-energy densities. For a Blatz-Ko material, kinks (elastic shocks) are found for a range of torques and geometries.
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