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/}
}
TY - JOUR AU - D. V. Georgievskii TI - Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2017 SP - 69 EP - 71 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a12/ LA - ru ID - VMUMM_2017_4_a12 ER -
%0 Journal Article %A D. V. Georgievskii %T Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2017 %P 69-71 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a12/ %G ru %F VMUMM_2017_4_a12
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/