 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 51, Issue 5 / 2016 | Next article >> |
| V.V. Vasil'ev and S.A. Lurie, "New Solution of the Plane Problem for an Equilibrium Crack," Mech. Solids. 51 (5), 557-561 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
5 |
Pages |
557-561 |
| DOI |
10.3103/S0025654416050071 |
| Title |
New Solution of the Plane Problem for an Equilibrium Crack |
| Author(s) |
V.V. Vasil'ev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, vvvas@dol.ru)
S.A. Lurie (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Institute of Applied Mechanics, Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040 Russia) |
| Abstract |
We consider the classical plane problem of elasticity about a crack in an isotropic elastic unbounded plane resulting in a singular solution for the stresses near the crack edge. Relations of generalized elasticity with a small parameter characterizing the medium microstructure are derived, and the higher order of these relations permits eliminating the singularity of the classical solution. An experimental method for determining the medium parameter is proposed, and the corresponding experimental results are given. |
| Keywords |
theory of elasticity, nonclassical theory of elasticity, crack problem |
| References |
| 1. | Yu. N. Rabotnov,
Mechanics of Deformable Solids
(Nauka, Moscow, 1979)
[in Russian]. |
| 2. | E. Liebowitz (Editor),
Fracture,
Vol. 2: Mathematical Fundamentals
(Academic Press, New York-London, 1968; Mir, Moscow, 1975). |
| 3. | V. V. Vasil'ev and S. A. Lurie,
"Model of a Solid with Microstructure,"
Kompos. Nanostr.
7 (1), 2-10 (2015). |
| 4. | V. V. Vasil'ev and S. A. Lurie,
"Generalized Theory of Elasticity,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 16-27 (2015)
[Mech. Solids (Engl. Transl.)
50 (4), 379-388 (2015)]. |
| 5. | V. V. Vasil'ev and S. A. Lurie,
"Generalized Solution of the Problem of a Circular Membrane Loaded by a Concentrated Force,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 115-119 (2016)
[Mech. Solids (Engl. Transl.)
51 (3), 334-338 (2016)]. |
|
| Received |
07 June 2016 |
| Link to Fulltext |
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