A formulation for the characteristic lengths of fcc materials in first strain gradient elasticity via the Sutton-Chen potential

Philosophical Magazine

Volumn 90, Issue 14, 2010, Pages 1893-1913

  Shodja, H M ^a   Tehranchi, A ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Characteristic lengths; Nano void; Size effect; Strain gradient elasticity; Sutton Chen interatomic potential function

Indexed keywords

ATOMISTIC APPROACH; CHARACTERISTIC LENGTH; CONTINUUM METHOD; CONTINUUM THEORY; FCC METALS; INHOMOGENEITIES; INTERATOMIC POTENTIAL FUNCTION; LATTICE STATICS; MATERIAL CONSTANT; MECHANICAL BEHAVIOR; NANO-SIZED; SIZE EFFECTS; STRAIN GRADIENT ELASTICITY; STRAIN GRADIENT THEORY; STRESS CONCENTRATORS; SUTTON-CHEN POTENTIALS; VOID SIZE EFFECT;

CONTINUUM MECHANICS; DEFECTS; ELASTICITY; ELASTOHYDRODYNAMICS; SIZE DETERMINATION; STRESS CONCENTRATION;

STRAIN MEASUREMENT;

EID: 77951582374     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430903571453     Document Type: Article

References (44)

1. E. Cosserat and F. Cosserat, Theorie des Corp Deformables, Hermann et Fils, Paris, 1909.
2. A. C. Eringen and D. G. B. Edelen, J. Eng. Sci. 10 (1972) p. 233.
3. R. D. Mindlin, Arch. Rat. Mechan. Anal. 16 (1964) p. 51.
4. R. D. Mindlin, Internat. J. Solids Struct. 1 (1965) p. 417.
5. R. D. Mindlin and N. N. Eshel, Internat. J. Solids Struct. 4 (1968) p. 109.
6. R. D. Mindlin and H. F. Tiersten, Arch. Rat. Mechan. Anal. 11 (1962) p. 415.
7. R. D. Mindlin, Exper. Mechan. 3 (1962) p. 1.
8. V. A. Lubarda, Internat. J. Solids Struct. 40 (2003) p. 3827.
9. H. M. Shodja and M. Ghazisaedi, Eur. J. Mechan. A - Solids 26 (4) (2007) p. 647.
10. H. Haftbaradaran and H. M. Shodja, Internat. J. Solids Struct. 46 (2009) p. 2978.
11. M. E. Gurtin and A. I. Murdoch, Arch. Rat. Mechan. Anal. 57 (1975) p. 291.
12. R. E. Miller and V. B. Shenoy, Nanotechnol. 11 (2000) p. 139.
13. N. A. Fleck, G. M. Muller, M. F. Ashby and J. W. Hutchinson, Acta Metall. Mater. 42 (1994) p. 475.
14. Z. C. Xia and J. W. Hutchinson, J. Mechan. Phys. Solids 44 (1996) p. 1621.
15. Y. Wei and J. W. Hutchinson, J. Mechan. Phys. Solids 45 (1997) p. 1253.
16. J. Y. Shu and N. A. Fleck, Internat. J. Solids Struct. 35 (1998) p. 1363.
17. J. Y. Shu and N. A. Fleck, J. Mechan. Phys. Solids 47 (1999) p. 297.
18. H. Gao, Y. Huang, W. D. Nix and J. W. Hutchinson, J. Mechan. Phys. Solids 47 (1999) p. 1239.
19. Y. Huang, H. Gao, W. D. Nix and J. W. Hutchinson, J. Mechan. Phys. Solids 48 (2000) p. 99.
20. N. A. Fleck and J. W. Hutchinson, J. Mechan. Phys. Solids 49 (2001) p. 2245.
21. E. C. Aifantis, Internat. J. Plast. 3 (1987) p. 211.
22. H. B. Muhlhaus and E. C. Aifantis, Internat. J. Solids Struct. 28 (1991) p. 845.
23. H. M. Zbib and E. C. Aifantis, Acta Mechan. 92 (1992) p. 209.
24. X. Zhang, J. Kun, P. Sharma and B. Yakobson, J. Mechan. Phys. Solids 54 (2006) p. 2304.
25. S. B. Altan and E. C. Aifantis, Scripta Mettall. 26 (1992) p. 319.
26. C. Q. Ru and E. C. Aifantis, Acta Mechan. 101 (1993) p. 59.
27. M. Yu. Gutkin and E. C. Aifantis, Scripta Mettall. 35 (1996) p. 1353.
28. M. Yu. Gutkin, Rev. Adv. Mater. Sci. 1 (2000) p. 27.
29. H. M. Shodja, K. M. Davoudi and M. Yu. Gutkin, Scripta Mater. 59 (2008) p. 368.
30. J. Kioseoglou, G. P. Dimitrakopulos, Ph. Komninou, Th. Karakostas and E. C. Aifantis, J. Phys. D 41 (2008) p. 1.
31. J. Kioseoglou, G. P. Dimitrakopulos, Ph. Komninou and Th. Karakostas, Phys. Rev. B 70 (2004) p. 0353309.
32. R. Maranganti and P. Sharma, J. Mechan. Phys. Solids 55 (2007) p. 1823.
33. D. P. Di Vincenzo, Phys. Rev. B 34 (1986) p. 5450.
34. L. A. Girifalco and V. G. Weizer, Phys. Rev. 114 (1959) p. 687.
35. A. P. Sutton and J. Chen, Phil. Mag. Lett. 61 (1990) p. 139.
36. H. Rafii-Tabar and A. P. Sutton, Phil. Mag. Lett. 63 (1991) p. 217.
37. H. Rafii-Tabar, H. M. Shodja, M. Darabi and A. Dahi, Mechan. Mater. 38 (2006) p. 243.
38. H. M. Shodja, L. Pahlevani and E. Hamed, Mechan. Mater. 39 (2007) p. 803.
39. H. M. Shodja and M. Kamalzare, Comput. Mater. Sci. 45 (2009) p. 275.
40. M. Adelzadeh, H. M. Shodja and H. Rafii-Tabar, Comput. Mater. Sci. 42 (2008) p. 186.
41. M. W. Finnis and J. E. Sinclair, Phil. Mag. 50 (1984) p. 45.
42. M. S. Daw and M. I. Baskes, Phys. Rev. B 29 (1984) p. 1285.
43. N. Auffray, R. Bouchet and Y. Brchet, Internat. J. Solids Struct. 46 (2009) p. 440.
44. Lord Kelvin, Mathematical and Physical Papers, Vol. 1 (1882), p. 97.