3-D elastic stress singularity at polyhedral corner points

The three!dimensional stress singularity at the top of an arbitrary polyhedral corner is considered[ Based on the boundary integral equations\ the problem is reduced by the Mellin transform to a system of certain one!dimensional integral equations[ The orders of stress singularity are spectral points of the integral operators while angular distribution and intensity factors are found as residues at those points[ Numerical results are obtained by means of the Galerkin discretization scheme using expansions in terms of orthogonal polynomials with the proper weights[ Some of the results illustrating the order|s dependence on the elastic properties and corner geometry for a wedge!shaped punch and a crack\ for an elastic trihedron and for a surface!breaking crack are given