 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| M.A. Grekov and A.A. Yazovskaya, "The effect of surface elasticity and residual surface stress in an elastic body with an elliptic nanohole," J. Appl. Math. Mech. 78 (2), 172-180 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
2 |
Pages |
172-180 |
| Title |
The effect of surface elasticity and residual surface stress in an elastic body with an elliptic nanohole |
| Author(s) |
M.A. Grekov (St. Petersburg, Russia, magrekov@mail.ru)
A.A. Yazovskaya (St. Petersburg, Russia) |
| Abstract |
The deformation of an elastic plane with an elliptic hole in a uniform stress field is considered, taking into account the surface elasticity and the residual surface tension. The solution of the problem, based on the use of the linearized Gurtin-Murdoch surface elasticity relations and the complex Goursat-Kolosov potentials, is reduced to a singular integrodifferential equation. Using the example of a circular hole, for which an exact solution of the equation is obtained in closed form, the effect of the residual surface tension and the surface elasticity on the stress state close to and on the boundary of a nanohole is analysed for uniaxial tension. It is shown that the effect of the residual surface stress and the surface tension, due to deformation of the body, depends on the elastic properties of the surface, the value of the stretching load and the dimensions of the hole. |
| Received |
03 July 2013 |
| Link to Fulltext |
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