 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 37, Issue 4 / 2002 | Next article >> |
| E. V. Lomakin, "Torsion of rods with elastic properties depending on the stress state type," Mech. Solids. 37 (4), 23-30 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
4 |
Pages |
23-30 |
| Title |
Torsion of rods with elastic properties depending on the stress state type |
| Author(s) |
E. V. Lomakin (Moscow) |
| Abstract |
Torsion problems for rods made of materials whose properties
change depending on the nature of loading or deformation are
stated. In these materials, processes of volume and shear
deformation are coupled, with the coupling parameters
depending on the loading nature. Such effects manifest
themselves in rocks, some sorts of structural graphite,
carbon-based composite materials, concrete, refractory ceramics,
as well as many other materials. It is shown that the classical
approach based on Saint-Venant's hypotheses as regards the
cross-section rotation and warping cannot be applied to
the materials in question, since in these materials, the displacements
due to torsion are coupled with those due to deformation
of the cross-section. Depending on the torsion conditions,
an axial compression force or a bending moment can appear.
Some of these effects are analyzed on the basis of the
approximate solution of the torsion problem for a rod with
rectangular cross-section. |
| References |
| 1. | E. V. Lomakin and Yu. N. Rabotnov, "Relations of elasticity
for an isotropic body with different moduli,"
Izv. AN. MTT [Mechanics of Solids], No. 6 pp. 29-34, 1978. |
| 2. | V. V. Novozhilov, "On the physical meaning of invariants
utilized in the theory of plasticity,"
PMM [Applied Mathematics and Mechanics], Vol. 16, No. 5, pp. 615-619, 1952. |
| 3. | E. V. Lomakin, "Difference of moduli in composite materials,"
Mekhanika Komposit.S Materialov, No. 1, pp. 23-29, 1981. |
| 4. | V. V. Novozhilov, Theory of Elasticity [in Russian],
Sudpromgiz, Leningrad, 1958. |
| 5. | L. M. Kachanov, Fundamentals of Elasticity [in Russian],
Nauka, Moscow, 1969. |
| 6. | E. V. Lomakin and G. O. Gasparyan, "On stress state type
sensitive media," in Nonlinear Models and Problems of Solid Mechanics
[in Russian], pp. 59-76, Nauka, Moscow, 1984. |
| 7. | E. V. Lomakin and M. P. Kazantsev,
"Specific features of torsion of rods made of materials
whose properties depend on the stress state type,"
Vestnik MGU [Bulletin of Moscow State University], Ser. 1,
Matematika, Mekhanika, No. 2, pp. 56-61, 1995. |
|
| Received |
09 April 2002 |
| << Previous article | Volume 37, Issue 4 / 2002 | Next article >> |
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