 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
|
| In English (Mech. Solids): | | 4811 |
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| << Previous article | Volume 50, Issue 3 / 2015 | Next article >> |
| B.A. Zhukov, "Nonlinear Interaction of Finite Longitudinal Shear with Finite Torsion of a Rubber-Like Bushing," Mech. Solids. 50 (3), 337-344 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
3 |
Pages |
337-344 |
| DOI |
10.3103/S0025654415030097 |
| Title |
Nonlinear Interaction of Finite Longitudinal Shear with Finite Torsion of a Rubber-Like Bushing |
| Author(s) |
B.A. Zhukov (Volgograd State Technical University, pr. Lenina 28, Volgograd, 400131 Russia, zhukov.b.a@gmail.com) |
| Abstract |
In the framework of nonlinear elasticity, an example of longitudinal shear and torsion of a cylindrical elastomer bushing pressed between two rigid holders is used to study the dependence of torsional rigidity on the longitudinal shear and the dependence of the longitudinal shear rigidity on the angle of torsion for two potentials of the strain energy. An analytic model of interaction between the longitudinal shear and the transverse torsion is proposed in the asymptotic approximation. |
| Keywords |
finite strain, hyperelasticity, incompressibility, finite longitudinal shear, finite torsion, asymptotic approximation |
| References |
| 1. | R. L. Fosdick and B. G. Kao,
"Transverse Deformations Associated with Rectilinear Shear in Elastic Solids,"
J. Elasticity
8 (2), 117-142 (1978). |
| 2. | F. Mollica and K. R. Rajagopal,
"Secondary Deformation due to Axial Shear of the Annular Region between
Two Eccentrically Placed Cylinders,"
J. Elasticity
48 (2), 103-123 (1997). |
| 3. | A. E. Green and J. E. Adkins,
Large Elastic Deformations and Nonlinear Continuum Mechanics. (Oxford Univ. Press, Oxford, 1960; Mir, Moscow, 1965). |
| 4. | J. K. Knowles,
"On Finite Anti-Plane Chare for Incompressible Elastic Materials,"
J. Austral. Math.
B19 (4), 400-415 (1976). |
| 5. | 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]. |
| 6. | A. I. Lurie,
Nonlinear Theory of Elasticity. (Nauka, Moscow, 1980)
[in Russian]. |
| 7. | M. Mooney,
"A Theory of large Elastic Deformation,"
J. Appl. Phys.
11, 582-592 (1940). |
| 8. | A. Ishibara, N. Hashitsume, and M. Tatibana,
"Statistical Theory of Rubber-Like Elasticity,"
J. Chem. Phys.
19, 1508-1512 (1951). |
| 9. | K. F. Chernykh and I. M. Shubina,
"Elasticity Laws for Isotropic Incompressible Materials.
A Phenomenological Approach,"
Mekh. Elastomerov (Krasnodar)
1 (242), 54-64 (1977). |
|
| Received |
06 February 2013 |
| Link to Fulltext |
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