Three-dimensional elastic stress distribution around the flat end of a cylindrical cavity

Abstract

The three-dimensional elastic stress distribution around the flat end of a cylindrical cavity has been previously determined by experimental and numerical methods. The stress concentration factors determined by previous workers are not in good agreement, and the effect of non-coincident principal stress direction with cavity axis has not been considered. Therefore, the stress distributions around the flat end of a cylindrical cavity for a range of Poisson's ratio from 0 to 0.475 have been determined by the boundary integral equation method (B.I.E.M.). Close agreement for the stress concentration factors a and c was found between an experimental method and the B.I.E.M. To enable stress distributions to be calculated at particular points for principal stress fields, non-coincident with the cavity axis, four stress fields p x = 1.0, p z = 1.0, s yz = 1.0 and s zx = 1.0 were applied at infinity. The cylindrical cavity was also solved for field stresses p z = 1.0 and p x = p y = Np z applied at infinity with N = 0, 0.33, 1 and 2 and a Poisson's ratio of 0.25.