 | | 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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| << Previous article | Volume 56, Issue 7 / 2021 | Next article >> |
| A.V. Pavlova, S.E. Rubtsov, and I.S. Telyatnikov, "Modification of the Fictitious Absorption Method," Mech. Solids. 56 (7), 1416-1428 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1416-1428 |
| DOI |
10.3103/S0025654421070189 |
| Title |
Modification of the Fictitious Absorption Method |
| Author(s) |
A.V. Pavlova (Kuban State University, Krasnodar, 350040 Russia, pavlova@math.kubsu.ru)
S.E. Rubtsov (Kuban State University, Krasnodar, 350040 Russia, rub_serg@mail.ru)
I.S. Telyatnikov (Federal Research Centre, Southern Scientific Centre, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia, ilux_t@list.ru) |
| Abstract |
The paper describes a modification of the fictitious absorption method in terms of the base
functions choice, as well as a method for its implementation for the case when a stamp or defect has a
nonconvex region in the plan. In contrast to the commonly used scheme, for the introduced auxiliary
component of the solution, we use the derivatives of the Dirac delta functions with the boundary set
of the contact region as the support. We demonstrated application of a new type of auxiliary functions
by the example of the integral equations for axisymmetric problems of vibrations for a stamp and a
crack in an elastic medium. The choice of a more complex form for base functions leads to a simpler
form of the solution. |
| Keywords |
integral equation, fictitious absorption method, oscillating kernel, region of complex con- figuration, axisymmetric problem |
| Received |
03 February 2020 | Revised |
27 March 2021 | Accepted |
29 March 2021 |
| Link to Fulltext |
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