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The Quarterly Journal of Mechanics and Applied Mathematics 1992 45(4):529-544; doi:10.1093/qjmam/45.4.529
© 1992 by Oxford University Press
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THE SECOND-ORDER DEFORMATION OF AN INCOMPRESSIBLE ISOTROPIC SLAB UNDER TORSION

K. A. LINDSAY

( Department of Mathematics, University of Glasgow, University Gardens Glasgow G12 8QQ )

This work investigates the second-order deformation of a uniformly thick incompressible isotropic elastic slab with an axial cylindrical hole. The slab is clamped at infinity and is subjected to a constant angular deformation on the interior boundary of the hole. The mathematical solution is formulated in terms of Weber–Orr transforms which are then numerically inverted.


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