Self-regular stress integral equations for axisymmetric elasticity

The stress hypersingular integral equations of axisymmetric elasticity are considered. The singular and hypersingular integrals are regularized using the imposition of auxiliary polynomial solution, and self-regular integral equations are obtained for bounded and unbounded domains. The presented numerical examples show high efficiency of the proposed approach. The boundary layer effect is completely eliminated, and stresses and deformations can be calculated in the whole domain continuously up to the boundary.