AXISYMMETRICAL CONSTRICTION OF A CIRCULAR-CYLINDER UNDER UNIFORM AXIAL-COMPRESSION

The compression of an elastic circular cylinder under a uniform load is considered when radial expansion is prevented over a central portion of the curved surface by a rigid constraint concentric with the cylinder. From the mixed boundary conditions on the outer surface, dual series equations are obtained which are subsequently reduced to a Fredholm integral equation of the second kind amenable to numerical solution. An alternative derivation of this integral is also presented. The numerical solution of this integral equation is obtained, and the physical quantities of interest are calculated.