Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IPMech RASWeb hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2006-4pp.118-129

Archive of Issues

Total articles in the database: 10864
In Russian (. . ): 8009
In English (Mech. Solids): 2855

<< Previous article | Volume 41, Issue 4 / 2006 | Next article >>
R. V. Goldstein and G. A. Shatalov, "Modeling of rupture processes in the framework of the generalized model of atomistic normal separation cracks," Mech. Solids. 41 (4), 118-129 (2006)
Year 2006 Volume 41 Number 4 Pages 118-129
Title Modeling of rupture processes in the framework of the generalized model of atomistic normal separation cracks
Author(s) R. V. Goldstein (Moscow)
G. A. Shatalov (Moscow)
Abstract We propose a generalized atomic model of a Thomson type crack. We assume that an edge crack separates four half-infinite chains of atoms. The interaction between atoms within each of the chains is characterized by springs with flexural rigidity, while the interaction between atoms in neighboring chains is modeled by bilinear bonds (springs) working in tension. The loading is realized by lumped tensile forces acting on the extreme atoms in the chains. We perform analytical-numerical modeling of the deformation and bond rupture processes near the crack tip and obtain an estimate for the dimensions of the adhesion region depending on the crack length and the bond parameters. We analyze the role of the additional (compared with the Thomson model) atomic chains and their influence on the redistribution of stresses and displacements in the adhesion region as well as the dimensions of the adhesion region itself.
References
1.  G. I. Barenblatt, "On equilibrium cracks formed in the process of brittle fracture," PMM [Applied Mathematics and Mechanics], Vol. 23, No. 3, pp. 434-444 (General ideas and hypothesis. Axially symmetric cracks); No. 4, pp. 706-721 (Rectilinear cracks in plane plates); No. 5, pp. 893-900 (Stability of isolated cracks. Relationship between energy theories), 1959.
2.  D. S. Dugdale, "Yielding of steel sheets containing slits," J. Mech. Phys. Solids, Vol. 8, No. 2, pp. 100-104, 1960.
3.  M. Ya. Leonov and V. V. Panasyuk, "Development of cracks in solids," PM [Applied Mechanics], Vol. 5, No. 4, pp. 391-401, 1959.
4.  R. Thomson, "Physics of Fracture," in R. V. Goldstein (Editor), Atomistics of Destruction [in Russian], pp. 104-144, Mir, Moscow, 1987.
5.  E. R. Fuller and R. M. Thomson, "Lattice theories of fracture," in R. C. Brandt (Editor), Fracture Mechanics of Ceramics, Vol. 4, pp. 507-548, Plenum Press, New York, 1978.
6.  N. F. Morozov and M. V. Paukshto, Discrete and Hybrid Models of Fracture [in Russian], Idz-vo SPbGU, St. Petersburg, 1995.
7.  R. V. Goldstein and G. A. Shatalov, "On the coupling domain near the crack edge in the process of brittle fracture," Doklady RAN, Vol. 389, No. 5, pp. 608-610, 2003.
8.  R. V. Goldstein and G. A. Shatalov, "Brittle fracture in the one-dimensional model of atomistic crack," Izv. RAN. MTT [Mechanics of Solids], No. 3, pp. 135-147, 2003.
9.  R. Thomson, C. Hsiek, and V. Rana, "Lattice trapping of fracture cracks," J. Appl. Phys., Vol. 42, No. 8, pp. 3154-3160, 1971.
10.  A. O. Gelfond, Calculus of Finite Differences [in Russian], Nauka, Moscow, 1967.
11.  R. V. Goldstein and G. A. Shatalov, Modeling Destruction Processes in Atomistic Normal Separation Crack. Preprint No. 710 [in Russian], In-t Problem Mekhaniki RAN, Moscow, 2002.
Received 20 July 2005
<< Previous article | Volume 41, Issue 4 / 2006 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100