Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 51, Issue 5, Pages 1188-1196Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2013.12.019
Keywords
Transverse isotropy; Finite elasticity; Elastic tube deformation
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Funding
- Ministerio de Ciencia, Spain [DPI2011-26167]
- Ministerio de Economia y Competitividad, Spain [DPI2008-03769]
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We consider the finite radially symmetric deformation of a circular cylindrical tube of a homogeneous transversely isotropic elastic material subject to axial stretch, radial deformation and torsion, supported by axial load, internal pressure and end moment. Two different directions of transverse isotropy are considered: the radial direction and an arbitrary direction in planes normal locally to the radial direction, the only directions for which the considered deformation is admissible in general. In the absence of body forces, formulas are obtained for the internal pressure, and the resultant axial load and torsional moment on the ends of the tube in respect of a general strain-energy function. For a specific material model of transversely isotropic elasticity, and material and geometrical parameters, numerical results are used to illustrate the dependence of the pressure, (reduced) axial load and moment on the radial stretch and a measure of the torsional deformation for a fixed value of the axial stretch. (C) 2013 Elsevier Ltd. All rights reserved.
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