 | | 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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| V. I. Astaf'ev and A. N. Krutov, "Stress distribution near the tip of an inclined crack in the nonlinear fracture mechanics," Mech. Solids. 36 (5), 101-108 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
5 |
Pages |
101-108 |
| Title |
Stress distribution near the tip of an inclined crack in the nonlinear fracture mechanics |
| Author(s) |
V. I. Astaf'ev (Samara)
A. N. Krutov (Samara) |
| Abstract |
The stress state near the tip of an
inclined crack is determined within the
framework of the nonlinear fracture mechanics. The constitutive
relations are specified in the form of a power-law function. A
two-point boundary value problem is stated by using
the compatibility equation in terms of stresses, into which the
Airy function is substituted. This problem is solved by
the shooting method. The solution is presented for the cases of
the plane stress state (PSS) and plane strain (PS). |
| References |
| 1. | Yu. N. Rabotnov, Mechanics of Solids [in
Russian], Nauka, Moscow, 1979. |
| 2. | G. Pluvinage, Mechanics of Elastoplastic Fracture [Russian
translation], Mir, Moscow, 1993. |
| 3. | G. P. Cherepanov, Mechanics of Brittle Fracture [in
Russian], Nauka, Moscow, 1974. |
| 4. | J. W. Hutchinson, "Singular behavior at the end of tensile
crack in a hardening material," J. Mech. Phys. Solids, Vol. 16,
No. 1, pp. 13-31, 1968. |
| 5. | J. R. Rice and G. F. Rosengren, "Plane strain deformation
near a crack tip in a power-law hardening material," J. Mech. Phys.
Solids, Vol. 16, No. 1, pp. 1-12, 1968. |
| 6. | Wen-Xin Wang and Tian-You Fan, "Analytic solution of
mode-I crack in materials with nonlinear behavior," Phil. Mag.
Lett., Vol. 69, No. 4, pp. 215-222, 1994. |
| 7. | N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel'kov,
Numerical Methods [in Russian], Nauka, Moscow, 1987. |
| 8. | K. Hellan, Introduction to Fracture Mechanics [Russian
translation], Mir, Moscow, 1988. |
|
| Received |
04 May 2000 |
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