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

Exact solutions to the elasticity theory problem in terms of stresses for an incompressible conical body of arbitrary shape under the action of a given concentrated force applied at its vertex are given and analyzed. A solution in terms of stresses with 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 body corresponding to such a solution is obtained.