 | | 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
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| In English (Mech. Solids): | | 3212 |
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| R. V. Goldstein and M. E. Sarychev, "The influence of dislocations on the criterion of crack growth on the cohesion interface between deformable materials," Mech. Solids. 41 (1), 95-103 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
1 |
Pages |
95-103 |
| Title |
The influence of dislocations on the criterion of crack growth on the cohesion interface between deformable materials |
| Author(s) |
R. V. Goldstein (Moscow)
M. E. Sarychev (Moscow) |
| Abstract |
A model is developed to evaluate the "plastic" work (the work of plastic
deformation) wp necessary to sustain the propagation of a crack along the
interface between deformable materials. In accordance with this model, this
work is due to the emission of dislocations from the crack edge (tip). The
general expression for wp is obtained, with the thermodynamic mechanism of
dislocation nucleation being taken into account. In a number of important
asymptotic cases, the dependence of wp on the work of adhesive separation of
the materials has been studied analytically. |
| References |
| 1. | A. J. Kinlock, Adhesion and Adhesives Science and Technology [Russian
translation], Mir, Moscow, 1991. |
| 2. | W. D. Biggs, "Fracture," in R. Kahn (Editor), Physical Metallurgy
[Russian translation], Mir, Moscow, 1968. |
| 3. | M. L. Jokl, V. Vitek, and C. J. McMahon (Jr.), "A microscopic theory
of brittle fracture in deformable solids: a relation between ideal work to
fracture and plastic work," Acta Mettallurg., Vol. 28, No. 11, pp. 1479-1488,
1980. |
| 4. | Ji Hong, S. W. Gary, et al., "Modification of fracture energy of
niobium/sapphire interface by impurity doping," Proc. Mat. Res. Soc. Symp.,
Vol. 458, pp. 191-196, 1997. |
| 5. | G. Elssner, T. Suga, and M. Turwitt, "Fracture of ceramic-to-metal
interfaces," J. Phys., Vol. 46-C4, Suppl., No. 4, pp. 597-612, 1985. |
| 6. | G. Elssner, D. Korn, and M. Ruhle, "The influence of interface
impurities on fracture energy of UHV diffusion bonded metal-ceramic
bicrystals," Scripta Metallurg. Mater., Vol. 31, No. 8, pp. 1037-1042, 1994. |
| 7. | J. R. Rice and R. Thompson, "Ductile versus brittle behavior of
crystals," Phil. Mag., Vol. 29, No. 1, pp. 73-97, 1974. |
| 8. | J. P. Hirth and J. Lothe, Theory of Dislocations [Russian
translation], Atomizdat, Moscow, 1972. |
| 9. | D. J. F. Ewing, "Strip yield models of creep crack incubation and
growth," Intern J. Fracture, Vol. 14, No. 1, pp. 101-117, 1978. |
| 10. | J. R. Rice, "Hydrogen and interfacial cohesion," in
A. W. Thompson and J. M. Bernstein (Editors), Effect of Hydrogen on
Behavior of Materials, pp. 455-466, American Institute of Mining
Engineers, New York, 1976. |
| 11. | D. D. Mason, Segregation-induced embrittlement of grain boundaries,"
Phil. Mag., Vol. 39, No. 4, pp. 455-468, 1979. |
| 12. | R. V. Goldstein and M. E. Sarychev, "On the influence of
vacancies on the surface tension on the adhesion interface between two
materials," Doklady RAN, Vol. 380, No. 4, pp. 476-478, 2001. |
| 13. | I. S. Grigor'ev and E. Z. Meilikhov (Editors), Physical
Quantities: A Handbook [in Russian], Energoatomizdat, Moscow, 1991. |
| 14. | L. K. Mansur and M. H. Yoo, "The feects of impurity trapping on
irradiation-induced swelling and creep," J. Nucl. Mater., Vol. 74, No. 2,
pp. 228-241, 1978. |
| 15. | R. V. Goldstein and M. E. Sarychev, "On the dependence of the surface
tension on the adhesion interface between materials on the impurity
concentration," Doklady RAN, Vol. 385, No. 5, pp. 621-624, 2002. |
| 16. | R. V. Goldstein and M. E. Sarychev, "On the influence of the
microdefects on the work of adhesive separation of materials," Doklady RAN,
Vol. 389, No. 6, pp. 753-756, 2003. |
|
| Received |
20 July 2005 |
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