 | | 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 72, Issue 4 / 2008 | Next article >> |
| A.F. Krivoi and G.Ya. Popov, "Interface tunnel cracks in a composite anisotropic space," J. Appl. Math. Mech. 72 (4), 499-507 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
4 |
Pages |
499-507 |
| Title |
Interface tunnel cracks in a composite anisotropic space |
| Author(s) |
A.F. Krivoi (Odessa, Ukraine, krivoi-odessa@ukr.net)
G.Ya. Popov (Odessa, Ukraine) |
| Abstract |
Exact solutions of the problem of tunnel cracks in the plane between two anisotropic half-spaces which are in conditions of generalized plane deformation (without the presence of planes of elastic symmetry) are obtained. Using the proposed procedure, which rests on constructed solutions of the Riemann matrix problem in the space of generalized functions of slow growth, the problem is reduced to a system of singular integral equations. Exact solutions of this system are constructed, which enable the conditions for which zones of overlap of the crack surfaces to be obtained, as well as formulae for calculating the dimensions of these zones, and enable the normal fracture stresses and limit values of the stress intensity factors to be determined. The behaviour of these quantities for different combinations of materials of the monoclinic and orthorhombic systems for orthogonal transformations of the principal axes of symmetry is investigated. |
| Received |
20 August 2007 |
| Link to Fulltext |
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