Pure Axial Shear of Isotropic, Incompressible Nonlinearly Elastic Materials with Limiting Chain Extensibility |
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Authors: | Cornelius O. Horgan Giuseppe Saccomandi |
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Affiliation: | (1) Applied Mechanics Program, Department of Civil Engineering, University of Virginia, Charlottesville, VA, 22903, U.S.A. E-mail;(2) Dipartimento di Ingegneria dell'Innovazione, Università degli Studi di Lecce, 73100 Lecce, Italy. E-mail |
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Abstract: | The purpose of this research is to investigate the pure axial shear problem for a circular cylindrical tube composed of isotropic hyperelastic incompressible materials with limiting chain extensibility. Two popular 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. In the limit as a polymeric chain extensibility tends to infinity, all of these models reduce to the classical neo-Hookean form. The stress fields and axial displacements are characterized for each of these models. Explicit closed-form analytic expressions are obtained. The results are compared with one another and with the predictions of the neo-Hookean model. This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | axial shear incompressible hyperelastic materials limiting chain extensibility |
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