Abstract
The problems treated in this paper deal with the second-order effects in an incompressible isotropic elastic infinite plane containing a loaded rigid circular inclusion. The analysis is based on the ‘displacement function’ method used for the solution of the second-order problems for incompressible elastic materials. The displacement function method is particularly suitable for the problems considered, since, in each case, the displacement boundary conditions are prescribed at the rigid inclusion-elastic medium interface. The solutions are presented in closed form, in terms of elementary functions, to a set of problems relevant to the study of stress concentrations, which occur at the fibres of reinforced rubber-like materials and in bonded rubber mountings.
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