On extension and torsion of a compressible elastic circular cylinder

Kirkinis, E. & Ogden, R. W. (2002) On extension and torsion of a compressible elastic circular cylinder. Mathematics and Mechanics of Solids, 7(4), pp. 373-392.

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Abstract

In this paper we examine the combined extension and torsion of a compressible isotropic elastic cylinder of finite extent. The equilibrium equations are formulated in terms of the principal stretches and then applied to the special case of pure torsion superimposed on a uniform extension (an isochoric deformation). Explicit necessary and sufficient conditions on the strain-energy function for the material to support this deformation with vanishing traction on the lateral surfaces of the cylinder are obtained. Some strain-energy functions satisfying these conditions are considered, existing results are recovered as special cases and new results are obtained. We also point out how the strain-energy functions generated from the considered isochoric deformation considered (of a compressible material) can be used to generate energy functions and corresponding solutions for the incompressible theory.

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8 citations in Web of Science®

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ID Code: 73438
Item Type: Journal Article
Refereed: Yes
Keywords: Cylinders (shapes), Deformation, Hydrostatic pressure, Strain, Torsional stress, Elastic circular cylinders, Elasticity
DOI: 10.1177/108128028476
ISSN: 10812865 (ISSN)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 07 Jul 2014 22:56
Last Modified: 07 Jul 2014 22:56

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