 | | 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
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 81, Issue 3 / 2017 | Next article >> |
| E.V. Rashidova and B.V. Sobol, "An equilibrium internal transverse crack in a composite elastic half-plane," J. Appl. Math. Mech. 81 (3), 236-247 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
3 |
Pages |
236-247 |
| DOI |
10.1016/j.jappmathmech.2017.08.016 |
| Title |
An equilibrium internal transverse crack in a composite elastic half-plane |
| Author(s) |
E.V. Rashidova (Don State Technical University, Rostov-on-Don, Russia, bsobol@mail.ru)
B.V. Sobol (Don State Technical University, Rostov-on-Don, Russia) |
| Abstract |
The problem of the stress concentration in the vicinity of the crack tips for a crack of finite length located perpendicular to the interface of two elastic bodies - a half-plane and a strip - is considered. Using the method of generalized integral transforms, the problem reduces to solution of a singular integral equation with a Cauchy kernel. Limit cases of the problem are considered when the thickness of the strip is relatively small, equal to zero (free boundary of the half-plane), or indefinitely large (a composite plane). The solution of the integral equation is constructed by the collocation method and the small parameter method. With the aim of increasing the efficiency of the numerical method, an approximation of the regular part of the kernel in a special form is used. Values of the stress intensity factors of the normal stresses in the vicinity of crack tips are obtained for different combinations of the geometrical and physical parameters of the problem. |
| Received |
04 March 2016 |
| Link to Fulltext |
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| << Previous article | Volume 81, Issue 3 / 2017 | Next article >> |
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