On helical shear of a compressible elastic circular cylindrical tube

Kirkinis, E. & Ogden, R. W. (2003) On helical shear of a compressible elastic circular cylindrical tube. Quarterly Journal of Mechanics and Applied Mathematics, 56(1), pp. 105-122.

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In this paper we examine the combined azimuthal and axial shear of a compressible isotropic elastic circular cylindrical tube of finite extent, otherwise referred to as helical shear (which is an isochoric deformation). The equilibrium equations are formulated in terms of the principal stretches, and explicit necessary and sufficient conditions on the strain-energy function for the material to support this deformation are obtained and compared with those obtained previously for this problem. Several classes of strain-energy functions are derived and in some general cases complete solutions of the equilibrium equations are obtained. Existing results are recovered as special cases and some new results for the strain-energy functions derived are determined and discussed.

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7 citations in Web of Science®

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ID Code: 73436
Item Type: Journal Article
Refereed: Yes
Keywords: Deformation, Functions, Numerical methods, Strain, Compressible elastic circular cylindrical tube, Helical shear, Strain energy functions, Tubes (components)
DOI: 10.1093/qjmam/56.1.105
ISSN: 00335614 (ISSN)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 07 Jul 2014 22:52
Last Modified: 07 Jul 2014 22:52

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