A Heavy Elastic Circular Ring Partially Supported by a Rigid Body

Abstract

This paper deals with the stress field in an elastic circular ring partially supported at the inner rim by a rigid body and stretched under its own weight. It is assumed that the support is bonded so perfectly that no slip and no separation could occur on the bonded part. Complex potentials for the infinite region, bounded internally by the inside circle of the ring, are first constructed in such a way that they satisfy the conditions given along the inner periphery of the ring and have poles at infinity. The parametric coefficients included in the potentials are then determined by the traction-free condition on the outer rim of the ring. The distributions of stresses along the boundaries of the ring are shown graphically for several cases of ring configuration and support-width.