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IssuesArchive of Issues2003-3pp.107-117

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R. V. Goldstein and G. A. Shatalov, "Brittle fracture in the one-dimensional model of atomistic crack," Mech. Solids. 38 (3), 107-117 (2003)
Year 2003 Volume 38 Number 3 Pages 107-117
Title Brittle fracture in the one-dimensional model of atomistic crack
Author(s) R. V. Goldstein (Moscow)
G. A. Shatalov (Moscow)
Abstract We consider a Thomson type atomistic model of cracks. It is assumed that an interface crack separates two semi-infinite atomic chains. The interaction between the atoms of neighboring chains is modelled by bilinear bonding elements (springs) working in tension. The interaction between the atoms of the same chain is characterized by two springs with flexural rigidity. Tensile forces are applied to the extreme atoms of the chains. It is assumed that fracture initiation occurs near the crack-tip in an end-zone of unknown length with nonlinearly deformed bonding elements. Numerical-analytical modeling is used for obtaining estimates of the length of the cohesive zone depending on the crack length and the parameters of bonding elements. Lattice trapping conditions are discussed.
References
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5.  R. Goldstein and M. Perelmuter, "Modelling of bonding at an interface crack," Intern. J. Fract., Vol. 99, No. 1-2, pp. 53-79, 1999.
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7.  E. R. Fuller and R. M. Thomson, "Lattice theories of fracture," in R. C. Brandt et al. (Editors), Fracture Mechanics of Ceramics. Volume 4, pp. 507-548, Plenum Press, New York, 1978.
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12.  L. I. Slepyan, Mechanics of Cracks [in Russian], Sudostroenie, Leningrad, 1990.
13.  N. F. Morozov and M. V. Paukshto, Discrete and Hybrid Models in Fracture Mechanics [in Russian], Izd-vo SPbGU, St. Petersburg, 1995.
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Received 20 February 2003
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