 | | 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: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| I.V. Simonov, "The interaction of a system of weakened zones at the interface of elastic media in a tensile stress field," J. Appl. Math. Mech. 75 (1), 98-105 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
1 |
Pages |
98-105 |
| Title |
The interaction of a system of weakened zones at the interface of elastic media in a tensile stress field |
| Author(s) |
I.V. Simonov (Moscow, Russia, simonov@ipmnet.ru) |
| Abstract |
The interaction of a system of crack-like defects with distributed cohesive forces over the whole surface of the edges, located at the interface of two elastic half-planes and which open under the action of forces at infinity, is considered. A dislocation approach is used to describe the model of each defect: the discontinuity in the asymmetric shifts is specified in the form of a basis function with free parameters that satisfies a number of physical constraints. The free parameters of the model are determined when finding an analytical solution of the problem. The key questions are: what is the minimum load at which just one of these weakened zones is converted into the nucleus of a crack or when one of the connecting bridges separating these zones is fractured and, also, under what conditions can the interaction of the defects be neglected ? The model is extended with a relation which enables an explicit opening - bonding force dependence to be obtained. |
| Received |
22 September 2009 |
| Link to Fulltext |
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