Nanoscale planar field projections of atomic decohesion and slip in crystalline solids. Part I. A crack-tip cohesive zone

Philosophical Magazine

Volumn 87, Issue 12, 2007, Pages 1889-1919

  Choi, S T ^a,b   Kim, K S ^a  

^a Brown University   (United States)

^b Samsung Advanced Institute of Technology (SAIT)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; CRYSTALLINE MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; ENERGY RELEASE RATE; HARDENING; INTERFACIAL ENERGY; SURFACE RELAXATION; SURFACE STRUCTURE;

ATOMISTIC FIELDS; COHESIVE TRACTION; COHESIVE ZONE; NON-LOCAL ATOMISTIC DEFORMATIONS;

CRACKS;

EID: 33947282903     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430601110372     Document Type: Article

References (43)

1. R.E. Peierls, Proc. Phys. Soc. 52 34 (1940).
2. F.R.N. Nabarro, Proc. Phys. Soc. 59 256 (1947).
3. G.I. Barrenblatt, Adv. Appl. Mech. 7 55 (1962).
4. J.R. Rice, J. Mech. Phys. Sol. 40 239 (1992).
5. Y. Sun, G.E. Beltz and J.R. Rice, Mater. Sci. Engng A 170 67 (1993).
6. Y. Sun and G.E. Beltz, J. Mech. Phys. Sol. 42 1905 (1994).
7. R. Miller and R. Phillips, Phil. Mag. A 73 803 (1996).
8. K.D. Da Silva, G.E. Beltz and A. Machova, Scripta Mater. 49 1163 (2003).
9. S.M. Foiles, M.I. Baskes and M.S. Daw, Phys. Rev. B 33 7983 (1986).
10. F.H.K. Chen and R.T. Shield, ZAMP J. Appl. Math. Phys. 28 1 (1977).
11. S. Hong and K.-S. Kim, J. Mech. Phys. Sol. 51 1267 (2003).
12. R.G. Hoagland, M.S. Daw, S.M. Foiles, et al., J. Mater. Res. 5 313 (1990).
13. R.G. Hoagland, M.S. Daw and J.P. Hirth, J. Mater. Res. 6 2565 (1991).
14. P. Gumbsch, J. Mater. Res. 10 2897 (1995).
15. P. Gumbsch and G.E. Beltz, Modelling Simul. Mater. Sci. Engng 3 597 (1995).
16. R.G. Hoagland, Phil. Mag. A 76 543 (1997).
17. F. Cleri, S.R. Phillpot, D. Wolf, et al., J. Am. Ceram. Soc. 81 501 (1998).
18. J. Schiotz and A.E. Carlsson, Phil. Mag. A 80 69 (2000).
19. U.V. Waghmare, E. Kaxiras and M.S. Duesbery, Phys. Stat. Sol. (b) 217 545 (2000).
20. J.E. Sinclair and B.R. Lawn, Proc. R. Soc. A 329 83 (1972).
21. Y.W. Zhang, T.C. Wang and H.Q. Tang, Scripta Metall. Mater. 33 267 (1995).
22. L. Hua, H. Rafii-Tabar and M. Cross, Phil. Mag. Lett. 75 237 (1997).
23. R. Miller, M. Ortiz, R. Phillips, et al., Engng Fract. Mech. 61 427 (1998).
24. J.R. Rice and J.-S. Wang, Mater. Sci. Engng A 107 23 (1989).
25. C.H. Wu and M.L. Wang, J. Mech. Phys. Sol. 48 2283 (2000).
26. N.I. Muskhelishvili, Some Basic. Problems of the Mathematical Theory of Elasticity (Groningen, Noordhoff, 1953).
27. J.D. Eshelby, W.T. Read and W. Shockley, Acta Metall, 1 251 (1953).
28. A.N. Stroh, Phil. Mag. 3 625 (1958).
29. S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body (Holden-Day, San Francisco, 1963).
30. Z. Suo, Proc. R. Soc. A 427 331 (1990).
31. J. Qu and Q. Li, J. Elasticity 26 169 (1991).
32. H.G. Beom and S.N. Atluri, Comput. Mech. 16 106 (1995).
33. T.C.T. Ting, Int. J. Sol. Struct. 32 483 (1995).
34. J. Dundurs, J. Appl. Mech. 36 650 (1969).
35. H.G. Beom and S.N. Atluri, Int. J. Fract. 75 163 (1996).
36. J.R. Rice, J. Appl. Mech. 35 379 (1968).
37. S.T. Choi, H. Shin and Y.Y. Earmme, Int. J. Sol. Struct. 40 1411 (2003).
38. G.F. Voronoi, J. Reine Angew. Math. 134 198 (1908).
39. F.Z. Li, C.F. Shih and A. Needleman, Engng Fract. Mech. 21 405 (1985).
40. J.H. Rose, J. Ferrante and J.R. Smith, Phys. Rev. Lett. 47 675 (1981).
41. V. Vitek, Phil. Mag. 18 773 (1968).
42. A.A. Griffith, Phil. Trans. A 221 163 (1920).
43. T.C.T. Ting, Anisotropic Elasticity: Theory and Applications (Oxford University Press, New York, 1996).