Abstract
This paper is concerned with the mixed boundary value problems of an infinite plate with a circular hole, into which a smooth elastic circular ring is inserted. Since the infinite plate is subjected to an uniaxial loading (tension or compression) at infinity, apertures are produced in parts along the boundary between the inserted ring and the hole. The contact pressure between the inserted ring and the hole is expressed in a convergent series whose differential form is also convergent, so that the stress and displacement generated along the boundary can be numerically analyzed by the point matching method. Using the numerical results for various parametric combinations the shear moduli of the plate and the ring, the influences of the amount of the misfit and inner radius of inserted ring are shown with respect to this stress. In addition, the problems of a perforated infinite plate under uniaxial loading at infinity inserted by an annular plate subjected to the uniform internal pressure are also investigated.
