Numerical analysis of stress singularity at singular points of three-dimensional elastic bodies

A numerical method of constructing eigensolutions for arbitrary elastic conical bodies with smooth and non-smooth lateral surfaces is considered. Different variants of its numerical implementation based on the finite element method are discussed. The results of numerical experiments demonstrating the efficiency and reliability of the proposed method are presented. The character of stress responses (the character of stress singularities) in the vicinity of vertices of circular and non-circular cones, composite and hollow cones, cones with non-smooth lateral surfaces, trihedral wedge, one and two intersecting wedge-shaped cracks is estimated based on the obtained solutions.