 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| K.M. Zingerman and V.A. Levin, "Extension of the Lamé-Gadolin problem for large deformations and its analytical solution," J. Appl. Math. Mech. 77 (2), 235-244 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
2 |
Pages |
235-244 |
| Title |
Extension of the Lamé-Gadolin problem for large deformations and its analytical solution |
| Author(s) |
K.M. Zingerman (Moscow, Russia, v.a.levin@mail.ru)
V.A. Levin (Moscow, Russia) |
| Abstract |
The formulation and solution of the axisymmetric static problem of the stress-strain state of two hollow circular elastic cylinders, one of which is predeformed and inserted into the other cylinder, is considered in the case of large plane deformations (an extension of the Lamé-Gadolin problem to large deformations). Using the theory of the superposition of large deformations, an exact analytical solution of the static problem for cylinders made of incompressible Treloar and Bartenev-Khazanovich materials is obtained, including the case when the cylinders are made of dissimilar materials. An analytical solution is obtained in parametric form for a compressible Blatz-Ko material. Non-linear effects are investigated. |
| Received |
23 May 2011 |
| Link to Fulltext |
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