 | | 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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| << Previous article | Volume 75, Issue 6 / 2011 | Next article >> |
| Ye.M. Rudoi, "An asymptotic form of the energy functional for an elastic body with a crack and a rigid inclusion. The plane problem.," J. Appl. Math. Mech. 75 (6), 731-738 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
6 |
Pages |
731-738 |
| Title |
An asymptotic form of the energy functional for an elastic body with a crack and a rigid inclusion. The plane problem. |
| Author(s) |
Ye.M. Rudoi (Novosibirsk, Russia, rem@hydro.nsc.ru) |
| Abstract |
The plane problem in the linear theory of elasticity for a body with a rigid inclusion located within it is investigated. It is assumed that there is a crack on part of the boundary joining the inclusion and the matrix and complete bonding on the remaining part of the boundary. Zero displacements are specified on the outer boundary of the body. The crack surface is free from forces and the stress state in the body is determined by the bulk forces acting on it. The variation in the energy functional in the case of a variation in the rigid inclusion and the crack is investigated. The deviation of the solution of the perturbed problem from the solution of the initial problem is estimated. An expression is obtained for the derivative of the energy functional with respect to a zone perturbation parameter that depends on the solution of the initial problem and the form of the vector function defining the perturbation. Examples of the application of the results obtained are studied. |
| Received |
03 August 2009 |
| Link to Fulltext |
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