Finite elastic deformations of transversely isotropic circular cylindrical tubes

El Hamdaoui, M., Merodio, J., Ogden, R. W. and Rodriguez, J. (2014) Finite elastic deformations of transversely isotropic circular cylindrical tubes. International Journal of Solids and Structures, 51(5), pp. 1188-1196. (doi:10.1016/j.ijsolstr.2013.12.019)

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Abstract

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: El Hamdaoui, M., Merodio, J., Ogden, R. W., and Rodriguez, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Solids and Structures
Publisher:Elsevier Ltd.
ISSN:0020-7683
ISSN (Online):1879-2146

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