 | | 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 |
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| V. V. Mokryakov, "Application of the multipole method to the problem on two close holes," Mech. Solids. 42 (5), 771-785 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
5 |
Pages |
771-785 |
| Title |
Application of the multipole method to the problem on two close holes |
| Author(s) |
V. V. Mokryakov (Shlumberger Technological Company Ltd., Moscow, Russia, vmokryakov@mail.ru) |
| Abstract |
We consider the plane elasticity problem on the interaction of two close identical holes under biaxial loading conditions at infinity. We study the stress state in the region of mutual interaction of the holes and near their contours. We propose a method for solving this problem on the basis of the representation of the jump displacement function as a sum of multipoles. Special attention is paid to the dependence of stress concentration on the parameters of the system of holes and its orientation with respect to the applied load. The stress fields are obtained for various locations of the holes. We also present the dependences of the maximum stress attained on the contour and the point of maximum stress concentration on the orientation of the pair of holes with respect to the external load. |
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|
| Received |
28 September 2006 |
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