Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies

The exact solution of the elasticity theory problem in terms of stresses for an incompressible conical solid of arbitrary shape under the action of a given point force applied at its vertex is given and analyzed. The solution in terms of stresses which has a singularity whose order is higher by one than that in the classical solution is discussed. The surface load at the boundary of the conical solid corresponding to such a solution is obtained.