Mechanics of contact between bi-material elastic solids perturbed by a flexible interface

摘要

This paper generalizes the classical result of R.D. Mindlin for the axisymmetric problem related to the action of a concentrated force at the interior of an isotropic elastic half-space to include a bi-material region that is perturbed by an interface exhibiting flexural behaviour. The flexural behaviour of the interface is described by a Germain-Poisson-Kirchhoff thin plate theory. A Hankel integral transform technique is used to obtain an explicit result for the deflection of the flexural interface. The reduction of the solution to conventional results associated with both half-space problems and infinite space problems is indicated. Formal results are also presented for the case where the flexural behaviour of the plate is modelled by the plate theory proposed by E. Reissner.