Computational modeling of the interaction of two edge cracks, and two edge cracks interacting with a nanovoid, via an atomistic finite element method

Computational Materials Science

Volumn 42, Issue 2, 2008, Pages 186-193

  Adelzadeh, M ^a   Shodja, H M ^b   Rafii Tabar, H ^c,d  

^a QUEEN S UNIVERSITY   (Canada)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^c SHAHID BEHESHTI UNIVERSITY OF MEDICAL SCIENCES   (Iran)

^d INSTITUTE FOR RESEARCH IN FUNDAMENTAL SCIENCES IPM   (Iran)

Author keywords

Atomistic finite element method; Brittle to ductile transition; Dislocation emission; Interacting cracks and nanovoid; Interatomic potential function; SIF

Indexed keywords

BRITTLE FRACTURE; CRACK PROPAGATION; CRYSTAL LATTICES; DISLOCATIONS (CRYSTALS); DUCTILE FRACTURE; FINITE ELEMENT METHOD;

ATOMISTIC FINITE ELEMENT METHOD; BRITTLE-TO-DUCTILE TRANSITION; DISLOCATION EMISSION; INTERACTING CRACKS; INTERATOMIC POTENTIAL FUNCTIONS;

CRACK TIPS;

EID: 40449109190     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2007.07.012     Document Type: Article

References (30)

1. Liu B., Huang Y., Jiang H., Qu S., and Hwang K.C. Comput. Methods Appl. Mech. Eng. 193 (2004) 1849-1864
2. Kysar J.W. J. Mech. Phys. Solids 51 (2003) 795-824
3. G.V. Kolosov, Dissertation, St. Petersburg, 1907.
4. Inglis C.E. Trans. Inst. Naval Architects 55 (1913) 219-241
5. Griffith A.A. Philos. Trans. Roy. Soc. A 221 (1921) 163-198
6. Broek D. Elementary Engineering Fracture Mechanics. Fourth ed. (1991), Kluwer Academic Publishers, Dordrecht
7. Rice J.R. J. Mech.Phys. Solids 40 (1992) 239-271
8. Fischer L.L., and Beltz G.E. J. Mech. Phys. Solids 49 (2001) 635-654
9. Xu X.P., Argon A.S., and Ortiz M. Philos. Mag. A 72 (1995) 415-451
10. Rice J.R., and Thomson R. Philos. Mag. 29 (1974) 73-97
11. Rafii-Tabar H., Hua L., and Cross M. J. Phys.: Condens. Matter 10 (1998) 2375-2387
12. Gehlen P.C., Hahn G.T., and Kanninen M.F. Scripta Metall. 6 (1972) 1087-1090
13. Sinclair J.E., and Lawn B.R. Proc. Roy. Soc. Lond. A, Math. Phys. Sci. (UK) 329 (1972) 83-103
14. Abraham F.F., and Broughton J.Q. Comput. Mater. Sci. 10 (1998) 1-9
15. Zhou S.J., Lomdahl P.S., Voter A.F., and Holian B.L. Eng. Fract. Mech. 61 (1998) 173-187
16. Hua L., Rafii-Tabar H., and Cross M. Philos. Mag. Lett. 75 5 (1997) 237-244
17. Kohlhoff S., Gumbsch P., and Fischmeister H.F. Philos. Mag. A 64 (1991) 851-878
18. Miller R., Tadmor E.B., Phillips R., and Ortiz M. Model. Simul. Mater. Sci. Eng. 6 (1998) 607-638
19. Abraham F.F., Broughton J., Bernstein N., and Kaxiras E. Europhys. Lett. 44 (1998) 783-787
20. Abraham F.F., Walkup R., Gao H., Duchaineau M., De la Rubia T.D., and Seager M. Proc. Natl. Acad. Sci. USA 99 9 (2002) 5777-5782
21. Buehler M.J., Hartmaier A., Gao H., Duchaineau M., and Abraham F.F. Comput. Methods Appl. Mech. Eng. 193 (2004) 5257-5282
22. Kassner M.E., Nemat-Nasser S., Suo Z., Bao G., Barbour J.C., Brinson L.C., Espinosa H., Gao H., Granick S., Gumbsch P., et al. Mech. Mater. 37 2-3 (2005) 231-259
23. Morse P.M. Phys. Rev. 34 (1929) 57-64
24. Girifalco L.A., and Veizer V.G. Phys. Rev. 114 3 (1959) 687-690
25. Jeng Y.R., and Tan C.M. J. Tribol. 126 (2004) 767-774
26. Kwon Y.W., and Jung S.H. Comput. Struct. 82 (2004) 1993-2000
27. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in FORTRAN: The Art of Scientific Computing. second ed. (1992), Cambridge University Press, Cambridge
28. Nishioka K., Takai T., and Hata K. Philos. Mag. A. 65 1 (1992) 227-244
29. Rafii-Tabar H., Shodja H.M., Darabi M., and Dahi A. Mech. Mater. 38 (2006) 243-252
30. Paskin A., Gohar A., and Dienes G.J. Phys. Rev. Lett. 44 14 (1980) 940-943