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IssuesArchive of Issues2006-1pp.95-103

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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
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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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