Finite twist and extension of a cylindrical elastic membrane |
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| Authors: | R. J. Tait D. J. Steigmann J. L. Zhong |
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| Affiliation: | (1) Present address: Department of Mathematics, University of Alberta, T6G 2G8 Edmonton, Alberta, Canada;(2) Present address: Department of Mechanical Engineering, University of Alberta, T6G 2G8 Edmonton, Alberta, Canada |
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| Abstract: | Summary We consider a circular cylindrical membrane subjected to longitudinal extension and twist. The associated equilibrium deformation is considered to be axisymmetric and the analysis is based on a direct two-dimensional formulation. Wrinkling of the membrane is taken into account in an approximate way by introducing arelaxed strain energy function derived from the neo-Hookean strain energy for isotropic elastic solids. Analytical formulae for wrinkled parts of the membrane are used to corroborate the results of a numerical treatment of the full boundary value problem.Dedicated to the memory of A. C. Pipkin |
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