 | | 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
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| In English (Mech. Solids): | | 4760 |
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| A. D. Panov, "Variation in the length of perfectly elastic rods under torsion," Mech. Solids. 43 (2), 225-231 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
2 |
Pages |
225-231 |
| DOI |
10.3103/S0025654408020076 |
| Title |
Variation in the length of perfectly elastic rods under torsion |
| Author(s) |
A. D. Panov (Kosygin Moscow State Textile University, Malaya Kaluzhskaya 1, GSP-1, Moscow, 119071, Russia, pim-07@mail.ru) |
| Abstract |
On the basis of elastic constitutive relations that reflect geometrically nonlinear second-order effects, we refine the theory of torsion of rectilinear rods of an arbitrary transverse cross-section. In particular, we obtain a universal formula, independent of the material properties, that determines the longitudinal strain arising as the rod undergoes free torsion. According to this formula, the length of a rod made of an isotropic perfectly elastic material can, in contrast to the traditional concepts, either increase or decrease as the rod undergoes torsion. Moreover, the variation in the length depends only on the geometry of the transverse cross-section. |
| References |
| 1. | S. P. Timoshenko and J. N. Goodyear,
Theory of Elasticity
(McGraw-Hill, New York, 1951; Nauka, Moscow, 1975). |
| 2. | A. D. Panov,
"Nonlinear Effects in Axially Symmetric Deformation of a
Cylinder. Pointing Effect,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 27-43 (2004)
[Mech. Solids (Engl. Transl.)
39 (5), 21-34 (2004)]. |
| 3. | D. V. Georgievskii,
"Tensor Nonlinear Effects under Isothermal Strain of Continua,"
Uspekhi Mekh.
1 (2), 150-176 (2002). |
| 4. | A. D. Panov,
"Theory of Constitutive Relations for Isotropic Solids,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 27-44 (2004)
[Mech. Solids (Engl. Transl.)
39 (6), 20-32 (2004)]. |
| 5. | S. P. Demidov,
Theory of Elasticity
(Vysshaya Shkola, Moscow, 1979)
[in Russian]. |
| 6. | A. I. Lurie,
Nonlinear Theory of Elasticity
(Nauka, Moscow, 1980)
[in Russian]. |
| 7. | A. D. Panov,
Theory of Deformation of an Isotropic Solid under Finite Strains
(New Method for Determining the State Law)
(Izd. MGTA im. Kosygina, Moscow, 1998)
[in Russian]. |
| 8. | I. A. Birger and R. R. Mavlyutov,
Strength of Materials. Tutorial
(Nauka, Moscow, 1986) [in Russian]. |
|
| Received |
21 February 2006 |
| Link to Fulltext |
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