 | | 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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| A. V. Andreev, "A method for numerical solution of complete singular integral equations with complex power-law singularities," Mech. Solids. 41 (1), 76-87 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
1 |
Pages |
76-87 |
| Title |
A method for numerical solution of complete singular integral equations with complex power-law singularities |
| Author(s) |
A. V. Andreev (Moscow) |
| Abstract |
A method for the direct numerical solution of complete singular integral
equations of the first and second kinds is developed for the case where the
solution has a complex power-law asymptotic behavior at the ends of the
interval of integration, in particular, arbitrary integrable complex
singularities. On the basis of the expansion of the solution in terms of the
eigenfunctions of the problem and utilization of special functions, the
solution of the singular integral equations is reduced to the solution of a
system of linear algebraic equations. A number of numerical results are
presented. The numerical solutions are compared with the analytical ones. |
| References |
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of singular integral equations," in Mechanics of Fracture. Volume 1. Methods of
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| 3. | M. P. Savruk, 2D Problems of Elastcity for Cracked Solids [in Russian],
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| 12. | G. R. Miller and L. M. Keer, "A numerical method for the solution of
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| 13. | P. S. Theocaris and N. I. Ioakimidis, "On the numerical solution
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Mathematical Physics [in Russian], Nauka, Moscow, 1971. |
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[in Russian], Nauka, Moscow, 1987. |
|
| Received |
29 January 2004 |
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