 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
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| B.A. Zhukov, "Plane Stress-Strain State of a Circular Cylindrical Bushing due to a Finite Out-of-Plane Shear," Mech. Solids. 52 (1), 111-117 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
1 |
Pages |
111-117 |
| DOI |
10.3103/S0025654417010125 |
| Title |
Plane Stress-Strain State of a Circular Cylindrical Bushing due to a Finite Out-of-Plane Shear |
| Author(s) |
B.A. Zhukov (Volgograd State Technical University, pr. Lenina 28, Volgograd, 400131 Russia, zhukov.b.a@gmail.com) |
| Abstract |
The paper deals with the determination of the stress-strain state due to a finite longitudinal shear in a circular cylindrical bushing manufactured from the Mooney-Rivlin material. Some expressions for the internal stresses and displacements in the plane perpendicular to the longitudinal shear are obtained. |
| Keywords |
finite strains, hyperelasticity, incompressibility, longitudinal shear |
| References |
| 1. | A. E. Green and J. E. Adkins, Large Elastic Deformations
and Nonlinear Continuum Mechanics (Clarendon, Oxford, 1960; Mir,
Moscow, 1965). |
| 2. | J. K. Knowies,
"On Finite Anti-Plane Charge for Incompressible Elastic Materials,"
J. Austral. Math.
19 (4), 400-415 (1976). |
| 3. | L. M. Zubov, "On Reduction of Several Spatial Problems of
Nonlinear Elasticity to Two-Dimensional Boundary Value Problems,"
in Contemporary Problems of Continuum Mechanics. Proc. 5th
Intern. Conf., Rostov-on-Don, 1999, Vol. 1 (Rostov Gos. Univ., NII
Mekh. Prikl. Mat., Rostov-on-Don, 2000) pp. 83-87
[in Russian]. |
| 4. | D. A. Polignone and C. O. Horgan,
"Pure Torsion of Compressible Nonlinearly Elastic Circular Cylinders,"
Quart. Appl. Math.
49, 591-607 (1991). |
| 5. | R. De Pascalis, M. Destrade, and G. Saccomandi,
"The Stress Field in a Pulled Cork and Some Subtle Points in
the Semi-Inverse Method of Nonlinear Elasticity,"
Proc. R. Soc. A
463 (2087), 2945-2959 (2007). |
| 6. | E. I. Grigolyuk and P. Ya. Nosatenko, "Plane Geometrically
Nonlinear stress-strain state of a Cylinder in Shear," Izv. Vyssh.
Uchebn. Zaved. Mashinostr., No. 2, 28-31 (1986). |
| 7. | A. I. Lurie,
Nonlinear Theory of Elasticity
(Nauka, Moscow, 1980)
[in Russian]. |
| 8. | K. F. Chernykh and I. M. Shubina,
"Elasticity Laws for Isotropic Incompressible Materials. A Phenomenological Approach,"
Mekh. Elastomerov (Krasnodar)
1 (242), 54-64 (1977). |
| 9. | D. P. Bokin, S. A. Korostelev, and K. S. Nechaev,
"Determination of the Fracture Initiation Domain
for Rubber Elements of Rubber-Metal Hinge of the Caterpillar Mover,"
Vestnik Altaisk. Gos. Agrarn. Univ.,
No. 7 (57), 61-65 (2009). |
|
| Received |
02 June 2014 |
| Link to Fulltext |
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