Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2017), pp. 69-71

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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.
@article{VMUMM_2017_4_a12,
     author = {D. V. Georgievskii},
     title = {Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {69--71},
     publisher = {mathdoc},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a12/}
}
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D. V. Georgievskii. Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2017), pp. 69-71. http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a12/