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Frontiers of Materials Science

ISSN 2095-025X

ISSN 2095-0268(Online)

CN 11-5985/TB

邮发代号 80-974

2019 Impact Factor: 1.747

Frontiers of Materials Science  2012, Vol. 6 Issue (1): 87-96   https://doi.org/10.1007/s11706-012-0159-3
  RESEARCH ARTICLE 本期目录
Atomistic study of anisotropic effect on two-dimensional dynamic crack
Atomistic study of anisotropic effect on two-dimensional dynamic crack
Guo-Wu REN(), Tie-Gang TANG, Qin-Zhong LI
Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang 621900, China
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Abstract

We adopt molecular dynamics (MD) method to extensively study the dynamical process during the crack propagation along two crystallographic directions in the two-dimensional close-packed system. The dependence of crack initiation time on the loading rates is investigated in comparison with continuum analysis. By calculating the displacement and stress field, the results are in excellent agreement with the asymptotic continuum solution of low-speed propagating crack. Moreover, the crack-tip velocity is numerically attained and associated with the instability of crack surface morphology, which results from the strongly anisotropic behavior. Further analysis remarkably observes the crack-branching healing process in that the dislocation emission absorbs the concentrated strain energy of crack tip.

Key wordscrack    anisotropic effect    molecular dynamics (MD)
收稿日期: 2011-11-29      出版日期: 2012-03-05
Corresponding Author(s): REN Guo-Wu,Email:gwren@fudan.edu.cn   
 引用本文:   
. Atomistic study of anisotropic effect on two-dimensional dynamic crack[J]. Frontiers of Materials Science, 2012, 6(1): 87-96.
Guo-Wu REN, Tie-Gang TANG, Qin-Zhong LI. Atomistic study of anisotropic effect on two-dimensional dynamic crack. Front Mater Sci, 2012, 6(1): 87-96.
 链接本文:  
https://academic.hep.com.cn/foms/CN/10.1007/s11706-012-0159-3
https://academic.hep.com.cn/foms/CN/Y2012/V6/I1/87
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1 Freund L B. Dynamic Fracture Mechanics. Cambridge: Cambridge University Press, 1990
2 Fineberg J, Marder M. Instability in dynamic fracture. Physics Reports , 1999, 313(1-2): 1–108
3 Bouchbinder E, Fineberg J, Marder M. Dynamics of simple cracks. Annual Review of Condensed Matter Physics , 2010, 1(1): 371–395
4 Fineberg J, Gross S P, Marder M, . Instability in dynamic fracture. Physical Review Letters , 1991, 67(4): 457–460
5 Sharon E, Fineberg J. Confirming the continuum theory of dynamic brittle fracture for fast cracks. Nature , 1999, 397(6717): 333–335
6 Abraham F F, Brodbeck D, Rafey R A, . Instability dynamics of fracture: A computer simulation investigation. Physical Review Letters , 1994, 73(2): 272–275
7 Ariza M P, Ortiz M, Serrano R. Long-term dynamic stability of discrete dislocation in graphene at finite temperature. International Journal of Fracture , 2010, 166(1-2): 215–223
8 Buehler M J, Abraham F F, Gao H. Hyperelasticity governs dynamic fracture at a critical length scale. Nature , 2003, 426(6963): 141–146
9 George A, Michot G. Dislocation loops at crack tips: nucleation and growth - an experimental study in silicon. Materials Science and Engineering A , 1993, 164(1-2): 118–134
10 Ebrahimi F, Kalwani L. Fracture anisotropy in silicon single crystal. Materials Science and Engineering A , 1999, 268(1-2): 116–126
11 Riedle J, Gumbsch P, Fischmeister H F. Cleavage anisotropy in tungsten single crystals. Physical Review Letters , 1996, 76(19): 3594–3597
12 Hakim V, Karma A. Crack path prediction in anisotropic brittle materials. Physical Review Letters , 2005, 95(23): 235501 (4 pages)
13 Khan S M A, Khraisheh M K. The anisotropic R-criterion for crack initiation. Engineering Fracture Mechanics , 2008, 75(14): 4257–4278
14 Holland D, Marder M. Ideal brittle fracture of silicon studied with molecular dynamics. Physical Review Letters , 1998, 80(4): 746–749
15 Hauch J A, Holland D, Marder M P, . Dynamic fracture in single crystal silicon. Physical Review Letters , 1999, 82(19): 3823–3826
16 Swadener J G, Baskes M I, Nastasi M. Molecular dynamics simulation of brittle fracture in silicon. Physical Review Letters , 2002, 89(8): 085503 (4 pages)
17 Sen D, Thaulow C, Schieffer S V, . Atomistic study of crack-tip cleavage to dislocation emission transition in silicon single crystals. Physical Review Letters , 2010, 104(23): 235502 (4 pages)
18 Dauchot O, Karmakar S, Procaccia I, . Athermal brittle-to-ductile transition in amorphous solids. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics , 2011, 84(4): 046105 (5 pages)
19 Atrash F, Hashibon A, Gumbsch P, . Phonon emission induced dynamic fracture phenomena. Physical Review Letters , 2011, 106(8): 085502 (4 pages)
20 Atrash F, Sherman D. Evaluation of the thermal phonon emission in dynamic fracture of brittle crystals. Physical Review B: Condensed Matter and Materials Physics , 2011, 84(22): 224307 (10 pages)
21 Szelestey P, Heino P, Kertesz J, . Effect of anisotropy on the instability of crack propagation. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , 2000, 61(4): 3378–3383
22 Kermode J R, Albaret T, Sherman D, . Low speed fracture instabilities in a brittle crystal. Nature , 2008, 455(7217): 1224–1227
23 Kohlhoff S, Gumbsch P, Fischmeister H F. Crack propagation in bcc crystals studied with a combined finite-element and atomistic model. Philosophical Magazine A , 1991, 64(4): 851–878
24 Nair A K, Warner D H, Hennig R G. Coupled quantum-continuum analysis of crack tip processed in aluminum. Journal of the Mechanics and Physics of Solids , 2011, 59(12): 2476–2487
25 Abraham F F. Dynamics of brittle fracture with variable elasticity. Physical Review Letters , 1996, 77(5): 869–872
26 Holian B L, Ravelo R. Fracture simulations using large-scale molecular dynamics. Physical Review B: Condensed Matter and Materials Physics , 1995, 51(17): 11275–11288
27 Wagner N J, Holian B L, Voter A F. Molecular-dynamics simulations of two-dimensional materials at high strain rates. Physical Review A. , 1992, 45(12): 8457–8470
28 Ravi-Chandar K, Knauss W G. An experimental investigation into dynamic fracture: I Crack initiation and arrest. International Journal of Fracture , 1984, 25(4): 247–262
29 Liu C, Knauss W G, Rosakis A J. Loading rates and the dynamic initiation toughness in brittle solids. International Journal of Fracture , 1998, 90(1-2): 103–118
30 Gao H, Huang Y, Abraham F F. Continuum and atomistic studies of intersonic crack propagation. Journal of the Mechanics and Physics of Solids , 2001, 49(9): 2113–2132
31 Cotterell B, Rice J R. Slightly curved or kinked cracks. International Journal of Fracture , 1980, 16(2): 155–169
32 Li S, Gao K W, Qiao L J, . Molecular dynamics simulation of microcrack healing in copper. Computational Materials Science , 2001, 20(2): 143–150
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