 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A. V. Kaptsov and E. I. Shifrin, "Identification of a plane crack in an elastic body by invariant integrals," Mech. Solids. 43 (3), 437-452 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
3 |
Pages |
437-452 |
| DOI |
10.3103/S0025654408030151 |
| Title |
Identification of a plane crack in an elastic body by invariant integrals |
| Author(s) |
A. V. Kaptsov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, kaptsov@ipmnet.ru)
E. I. Shifrin (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, shifrin@ipmnet.ru) |
| Abstract |
We consider the problem of plane crack identification in an elastic body from the results of static tests. We show that the crack plane, its volume under homogeneous normal loading, and the coordinates of the central point are uniquely determined from the results of three static tests by uniaxial tension in three mutually perpendicular directions. We obtain explicit formulas for these crack characteristics in terms of the corresponding invariant integrals, which can be calculated if the stresses and displacements are measured on the external boundary of the body in the experiments mentioned above. These formulas are exact for the problem about a crack in an infinite medium. If the elastic body boundedness is taken into account and it is assumed that the crack characteristic dimensions are small compared with the distance from the crack to the body boundary, then the obtained formulas can be considered as approximate ones. |
| Received |
29 November 2007 |
| Link to Fulltext |
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