 | | 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 76, Issue 3 / 2012 | Next article >> |
| A.N. Zlatin, "Exact solutions of the mixed axisymmetric problem of the torsion of an elastic space containing a spherical crack," J. Appl. Math. Mech. 76 (3), 324-329 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
3 |
Pages |
324-329 |
| Title |
Exact solutions of the mixed axisymmetric problem of the torsion of an elastic space containing a spherical crack |
| Author(s) |
A.N. Zlatin (St Petersburg, Russia, anzlat@yandex.ru) |
| Abstract |
The problem of the torsion of an elastic space, weakened by a spherical crack, is reduced to a system of paired summation equations in first-order associated Legendre functions. It is assumed that the load, applied to the crack surface, can also be represented in the form of a series in associated Legendre functions. Using special differential operators, this system is reduced to permitting an exact elementary solution of a system of equations in Legendre polynomials. Two examples are given. The solution is compared with a known result in the literature. The problem of the effect of curvature of the surface on the stress intensity factor is investigated. |
| Received |
10 May 2011 |
| Link to Fulltext |
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