Abstract
The purpose of this research is to investigate the helical shear problem for a circular cylindrical tube composed of an isotropic hyperelastic incompressible material. Three specific constitutive models that account for hardening at large deformations are examined. These involve a strain-energy density which depends only on the first invariant of the Cauchy-Green tensor. For limiting values of a material parameter, all of these models reduce to the classical neo-Hookean form. The stress fields and displacements are characterized for each of these models. For two of the models considered, explicit closed-form analytic expressions are obtained. The results are compared with one another and with the predictions of the neo-Hookean model.
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