 | | 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 |
|
| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
| V. I. Astaf'ev and L. V. Stepanova, "The far-range asymptotic behavior of the stress field in the problem of crack growth in a creeping damaged medium," Mech. Solids. 40 (2), 121-128 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
2 |
Pages |
121-128 |
| Title |
The far-range asymptotic behavior of the stress field in the problem of crack growth in a creeping damaged medium |
| Author(s) |
V. I. Astaf'ev (Samara)
L. V. Stepanova (Samara) |
| Abstract |
Within the coupled formulation of creep theory and damage mechanics, an
approximate solution describing the growth of an antiplane shear crack is
obtained. The characteristic feature of the crack problems within the
coupled (creep-damage) formulation is the presence of a damage
accumulation region near the crack tip and (or) a region of a completely
damaged material, in which all stress tensor components and the continuity
parameter are equal to zero. Therefore, in addition to the stress-strain
state, the investigation of the geometry of the region mentioned is of
particular interest. The asymptotic expansions for stress tensor
components and the continuity parameter far away from the crack tip are
constructed (the far-range stress field asymptotics are obtained). The
structure of the region of completely damaged material is presented for
various exponents of the power law of creep and the kinetic equation
governing the damage accumulation. |
| References |
| 1. | V. I. Astaf'ev, T. V. Grigorova, and V. A. Pastukhov, "The
effect of damage in a creeping material on the stress-strain state near
the crack tip," Fiz.-Khim. Mekh. Mater., Vol. 28, No. 1, pp. 5-11, 1992. |
| 2. | V. I. Astaf'ev and T. V. Grigorova, "Stress and damage
distributions near the tip of a growing creep crack," Izv. AN. MTT
[Mechanics of Solids], No. 3, pp. 160-166, 1995. |
| 3. | V. I. Astaf'ev, Yu. N. Radaev, and L. V. Stepanova, Nonlinear
Fracture Mechanics [in Russian], Izd-vo Samark. Un-ta, Samara, 2001. |
| 4. | J. Zhao and X. Zhang, "The asymptotic study of fatigue crack
growth based on damage mechanics," Engn. Frac. Mech., Vol. 50, No. 1,
pp. 131-141, 1995. |
| 5. | S. B. Lee, M. Lu, and J. Y. Kim, "An asymptotic analysis of a
tensile crack in creeping solids coupled with cumulative damage. Part. I.
Small damage region around the crack tip," Intern. J. Solids Struct.,
Vol. 34, No. 24, pp. 3163-3178, 1997. |
| 6. | S. B. Lee, M. Lu, and J. Y. Kim, "An asymptotic analysis of a
tensile crack in creeping solids coupled with cumulative damage. Part. I.
Large damage region very near the crack tip," Int. J. Solids Struct.,
Vol. 34, No. 10, pp. 1183-1197, 1997. |
| 7. | J. Zhao and X. Zhang, "On the process zone of a quasi-static
growing tensile crack with power-law elastic-plastic damage," Intern. J.
Fracture, Vol. 108, No. 4, pp. 383-395, 2001. |
| 8. | S. Murakami, T. Hirano, and Y. Liu, "Asymptotic fields of stress
and damage of a mode I creep crack in steady-state growth," Intern. J.
Solids Struct., Vol. 37, No. 43, pp. 6203-6220, 2000. |
| 9. | S. Murakami, Y. Liu, and M. Mizuno, "Computaional methods for
creep fracture analysis by damage mechanics," Comput. Methods Appl. Mech.
Engrg, Vol. 183, No. 1-2, pp. 15-33, 2000. |
| 10. | L. V. Stepanova and M. E. Fedina, "Self-similar solution to the
problem of an antiplane shear crack within the coupled formulation
(creep-damage couple)," Vestnik Samarsk. Un-ta, No. 4 (18),
pp. 128-145, 2000. |
| 11. | H. Riedel, Fracture at High Temperature, Springer, Berlin,
1987. |
| 12. | L. V. Stepanova and M. E. Fedina, "On the geometry of the region
of completely damaged material near the tip of an antiplane shear crack
within the coupled formulation (creep-damage couple)," Vestnik Samarsk.
Un-ta, No. 2 (20), pp. 87-113, 2001. |
| 13. | J. R. Rice and G. F. Rosengren, "Plane strain deformation near a
crack tip in a power-hardening material," J. Mech. Phys. Solids, Vol. 16,
No. 1, pp. 1-12, 1968. |
| 14. | 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. |
| 15. | L. M. Kachanov, "On the time of fracture under creep
conditions," Izv. AN SSSR. OTN, No. 8, pp. 26-31, 1958. |
| 16. | L. M. Kachanov, "On the mechnism of delayed fracture,", In
Issues of Strength of Structures [in Russian], Izd-vo AN SSSR, Moscow,
1959. |
| 17. | F. G. Yuan and S. Yang, "Analytical solutions of fully plastic
crack-tip higher order fields under antiplane shear," Intern. J.
Fracture, Vol. 69, No. 1, pp. 1-26, 1995. |
| 18. | S. Yang, F. G. Yuan, and X. Cai, "Higher order asymptotic
elastic-plastic crack-tip fields under antiplane shear," Engn. Frac.
Mech., Vol. 54, Pt. 3, pp. 405-422, 1996. |
|
| Received |
28 August 2003 |
| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English