On the incremental torsional stiffness of an annular disc bonded to a finitely deformed elastic halfspace
This paper investigates the elastostatic problem of an annular rigid disc bonded to a finitely deformed incompressible elastic halfspace. The analysis is developed within the context of the theory of small deformations superposed on large proposed by Green, Rivlin and Shield (1952). The triple integral equations encountered in the formulation of the mixed boundary value problems are solved in an approximate fashion in terms of series involving a small non-dimensional parameter that corresponds to the radii ratio for the annulus. Explicit results are provided for the torsional stiffness of the annular rigid indenter in terms of the homogeneous finite deformation and the constitutive properties of the incompressible rubberlike elastic solid.