 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| V.I. Kuz'menko, N.V. Kuz'menko, L.V. Levina, and V.B. Pen'kov, "A Method for Solving Problems of the Isotropic Elasticity Theory with Bulk Forces in Polynomial Representation," Mech. Solids. 54 (5), 741-749 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
5 |
Pages |
741-749 |
| DOI |
10.3103/S0025654419050108 |
| Title |
A Method for Solving Problems of the Isotropic Elasticity Theory with Bulk Forces in Polynomial Representation |
| Author(s) |
V.I. Kuz'menko (Lipetsk State Technical University, Lipetsk, 398600 Russia, vasilykuzmenko@yandex.ru)
N.V. Kuz'menko (Lipetsk State Technical University, Lipetsk, 398600 Russia, nik2.kuzmenko@mail.ru)
L.V. Levina (Lipetsk State Technical University, Lipetsk, 398600 Russia, satalkina_lyubov@mail.ru)
V.B. Pen'kov (Lipetsk State Technical University, Lipetsk, 398600 Russia, vbpenkov@mail.ru) |
| Abstract |
A method for solving problems in isotropic elasticity theory with polynomial bulk forces is substantiated. The existence of a basis for the state space generated by monomials of random orders, which are the components of a volumetric force, makes it possible to obtain a rigorous description of a corresponding stress–strain state for any polynomial force. Solutions of the basic mixed equilibrium problem are obtained: (1) for a truncated cylinder clamped at the base and exposed to the action of a nonconservative volume force and (2) for a heavy hemisphere clamped at the equatorial section and having a nonhomogeneous shear modulus typical for bodies with subsurface hardening. |
| Keywords |
isotropic elasticity theory, polynomial bulk forces, equilibrium problems, method of boundary states with disturbances, energetic method |
| Received |
11 November 2017 | Revised |
11 November 2017 | Accepted |
11 November 2017 |
| Link to Fulltext |
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