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The Quarterly Journal of Mechanics and Applied Mathematics 1993 46(4):601-625; doi:10.1093/qjmam/46.4.601
© 1993 by Oxford University Press
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FINITE PLANE TWIST OF AN ANNULAR MEMBRANE

X. LI and D. J. STEIGMANN

( Department of Mechanical Engineering, University of Alberta Edmonton, Alberta, Canada T6G 2G8 )

We present an analysis of the finite deformation of an annular memberane induced by the rotation of a rigid hub. The memberane is partly wrinkled for certain combinations of hub radius and rotation angle. For a particular strain-energy function of harmonic type, we obtain solutions that are analytical in the sense that the problem is reduced to an algebraic system in three parameters. Solutions of this system are used to characterize various properties of the deformation, including the equilibrium torque-twist relation.


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