Email this article Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies
- Authors: Georgievskii D.V.1
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Affiliations:
- Faculty of Mechanics and Mathematics, Leninskie Gory
- Issue: Vol 72, No 4 (2017)
- Pages: 101-102
- Section: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164448
- DOI: https://doi.org/10.3103/S0027133017040057
- ID: 164448
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Abstract
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.
About the authors
D. V. Georgievskii
Faculty of Mechanics and Mathematics, Leninskie Gory
Author for correspondence.
Email: georgiev@mech.math.msu.su
Russian Federation, Moscow, 119899
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