 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| E.A. Bashkankova, A.B. Vakaeva, and M.A. Grekov, "Perturbation Method in the Problem on a Nearly Circular Hole in an Elastic Plane," Mech. Solids. 50 (2), 198-207 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
2 |
Pages |
198-207 |
| DOI |
10.3103/S0025654415020090 |
| Title |
Perturbation Method in the Problem on a Nearly Circular Hole in an Elastic Plane |
| Author(s) |
E.A. Bashkankova (St. Petersburg State University, Universitetskii pr. 28, Petergof, St. Petersburg, 198504 Russia, ekaterina.bashkankova91@gmail.com)
A.B. Vakaeva (St. Petersburg State University, Universitetskii pr. 28, Petergof, St. Petersburg, 198504 Russia, alexandra.vakaeva@gmail.com)
M.A. Grekov (St. Petersburg State University, Universitetskii pr. 28, Petergof, St. Petersburg, 198504 Russia, magrekov@mail.ru) |
| Abstract |
The perturbation method is used to construct the solution of the plane elasticity problem for a plane with a curvilinear nearly circular hole. An algorithm for calculating any approximation represented as a Cauchy type integral depending on all preceding approximations is given. The complex potentials of the first approximation are obtained for an elliptic hole and a curvilinear hole whose boundary deviates from the unit circle in the radial direction according to the cosine law. An example of elliptic hole is used to analyze the error in the first approximation of the stress concentration factor by comparing it with the exact solution. The influence of the hole shape on the distribution of circular stresses on the boundary is studied. |
| Keywords |
perturbation method, plane problem, curvilinear hole, stress concentration |
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|
| Received |
28 March 2014 |
| Link to Fulltext |
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