Helical Shear for Hardening Generalized neo-Hookean Elastic Materials  

Oleh:

Horgan, Cornelius O. ; Saccomandi, Giuseppe

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 8 no. 5 (Oct. 2003), page 539-559.
Topik: helical shear; incompressible hyperelastic materials; strain hardening phenomena
Fulltext: 539MMS85.pdf (249.46KB)

Isi artikel

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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