Stress singularity at the vertex of homogeneous and composite cones for different boundary conditions

A method of constructing singular solutions for conical bodies is proposed and versions of its numerical realization based on the finite-elements methods are considered. The results of numerical experiments illustrating the effectiveness and reliability of the proposed method are presented, as well as the results of a calculation of the eigenvalues, which define the form of the stress singularity for homogeneous and composite circular and non-circular cones for different boundary conditions.