Dm. Haughton et Ka. Lindsay, THE 2ND-ORDER DEFORMATION OF A FINITE INCOMPRESSIBLE ISOTROPIC ELASTIC ANNULUS SUBJECTED TO CIRCULAR SHEARING, Acta mechanica, 104(3-4), 1994, pp. 125-141
This work investigates the second order deformation of a uniformly thi
ck incompressible isotropic elastic annulus with an axial cylindrical
hole. The annulus is clamped at its outer edge and is subjected to a c
onstant angular deformation on the interior boundary of the hole. The
implicit mathematical solution is formulated in terms of finite Hankel
transforms with Weber-Orr kernel functions which are then numerically
inverted.