 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
| A. D. Panov, "Nonlinear effects in axially symmetric deformation of a cylinder. Pointing effect," Mech. Solids. 39 (5), 21-34 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
21-34 |
| Title |
Nonlinear effects in axially symmetric deformation of a cylinder. Pointing effect |
| Author(s) |
A. D. Panov (Moscow) |
| Abstract |
We consider axially symmetric deformation of a cylinder with circular or annular cross-section subjected to a torque, longitudinal force, and uniform lateral pressure. A closed system of governing equations is obtained. We consider some particular solutions of the problem of free torsion of a thin-walled pipe and constrained torsion of a solid cylinder; these solutions reflect the nonlinear effects that arise under such types of loading. We show that in the case of large strains, it is necessary to refine the traditional methods of experimental determination of the shear diagram. An exact analytical solution of the problem is obtained in the case of small elastic strains; this solution describes, in particular, some second-order effects, in particular, the Pointing effect. |
| References |
| 1. | A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow, 1980. |
| 2. | A. D. Panov, Theory of Small-strain Deformation of Isotropic Solids. (New Method for the Determination of the State Law) [in Russian],
MGTA im. A. N. Kosygina, Moscow, 1998. |
| 3. | A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow, 1970. |
| 4. | D. V. Georgievskii,
"Tensor-linear effects in continuous media subjected to isothermal deformation,"
Uspekhi Mekh., Vol. 1, No. 2, pp. 150-176, 2002. |
| 5. | A. D. Panov,
"Some features of the determination of the shear diagram for a material subject to finite strains". Problems in Science and Technology Pertaining to Reliability and Durability of Structures and Methods of their Solution.
Proc. 5th Intern. Conf., St. Petersburg, Izd-vo St. Petersburg Univ., 2003, pp. 400-407. |
| 6. | A. Nadai, Plasticity and Fracture of Solids [Russian translation], Mir, Moscow, Volume 1, 1963; Volume 2, 1969. |
| 7. | R. Hill, Mathematical Plasticity [Russian translation], Gostekhizdat, Moscow, 1956. |
| 8. | I. A. Birger and R. R. Mavliutov, Strength of Materials [in Russian], Nauka, Moscow, 1986. |
|
| Received |
23 December 2003 |
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