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The second order deformation of a finite incompressible isotropic elastic annulus subjected to circular shearing. (English) Zbl 0810.73015

Summary: This work investigates the second order deformation of a uniformly thick incompressible isotropic elastic annulus with an axial cylindrical hole. The annulus is clamped at its outer edge and is subjected to a constant angular deformation on the interior boundary of the hole. The implicit mathematical solutions is formulated in terms of finite Hankel transforms with Weber-Orr kernel functions which are then numerically inverted.

MSC:

74B20 Nonlinear elasticity
44A15 Special integral transforms (Legendre, Hilbert, etc.)
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