Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 4, Pages 69–71 (Mi vmumm87)  
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Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies

D. V. Georgievskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: 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.
Key words: conical solid, incompressible elastic material, point force, stress, Beltrami compatibility equations, singularity, surface load.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00848а
Received: 16.12.2016
English version:
Moscow University Mechanics Bulletin, 2017, Volume 72, Issue 4, Pages 101–102
DOI: https://doi.org/10.3103/S0027133017040057
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: D. V. Georgievskii, “Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4, 69–71; Moscow University Mechanics Bulletin, 72:4 (2017), 101–102
Citation in format AMSBIB
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