An Infinite Solid Cylinder Subjected to Two Diametrically Opposite Concentrated Loads

抄録

Theoretical results for an infinite cylinder subjected to tow diametrically opposite loads are obtained by the three-dimensional theory of elasticity. In this analysis, Dougall's stress functions are used and the numerical calculations are carried out for the concentrated loads which are the limiting case of the partially distributed loads. In this case, the stresses on the surface are expressed with a divergent series including divergent integrals, but by eliminating the divergent terms and using Shanks' acceleration method, calculations are carried out even for the surface stresses as well as the inner ones. Numerical results are presented for the distributions of stresses and displacements.