 | | 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
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 74, Issue 6 / 2010 | Next article >> |
| L.M. Zubov, "The linear theory of dislocations and disclinations in elastic shells," J. Appl. Math. Mech. 74 (6), 663-672 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
6 |
Pages |
663-672 |
| Title |
The linear theory of dislocations and disclinations in elastic shells |
| Author(s) |
L.M. Zubov (Rostov-on-Don, Russia, zubovl@yandex.ru) |
| Abstract |
A stress state of a thin linearly elastic shell containing both isolated as well as continuously distributed dislocations and disclinations is considered using the classical Kirchhoff-Love model. A variational formulation of the problem of the equilibrium of both a multiply connected shell with Volterra dislocations as well as shells containing dislocations and disclinations distributed with a known density is given. The mathematical equivalence between the boundary-value problem of the stress state of a shell caused by distributed dislocations and disclinations and the boundary-value problem of the equilibrium of a shell under the action of specified distributed loads is established. A number of problems on dislocations and disclinations in a closed spherical shell is solved. The problem of infinitesimally deformations of a surface when there are distributed dislocations is formulated. |
| Received |
01 March 2010 |
| Link to Fulltext |
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