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

References

• Cosserat , E and Cosserat , F . 1909 . Theorie des Corp Deformables , Paris : Hermann et Fils .
   Google Scholar
• Eringen , AC and Edelen , DGB . 1972 . J. Eng. Sci. , 10 : 233
   Web of Science ®Google Scholar
• Mindlin , RD . 1964 . Arch. Rat. Mechan. Anal. , 16 : 51
   Web of Science ®Google Scholar
• Mindlin , RD . 1965 . Internat. J. Solids Struct. , 1 : 417
   Google Scholar
• Mindlin , RD and Eshel , NN . 1968 . Internat. J. Solids Struct. , 4 : 109
   Google Scholar
• Mindlin , RD and Tiersten , HF . 1962 . Arch. Rat. Mechan. Anal. , 11 : 415
   Web of Science ®Google Scholar
• Mindlin , RD . 1962 . Exper. Mechan. , 3 : 1
   Google Scholar
• Lubarda , VA . 2003 . Internat. J. Solids Struct. , 40 : 3827
   Google Scholar
• Shodja , HM and Ghazisaedi , M . 2007 . Eur. J. Mechan. A – Solids , 26 ( 4 ) : 647
   Google Scholar
• Haftbaradaran , H and Shodja , HM . Internat. J. Solids Struct. 46 , (2009) p.2978
   Google Scholar
• Gurtin , ME and Murdoch , AI . 1975 . Arch. Rat. Mechan. Anal. , 57 : 291
   Web of Science ®Google Scholar
• Miller , RE and Shenoy , VB . 2000 . Nanotechnol. , 11 : 139
   Web of Science ®Google Scholar
• Fleck , NA , Muller , GM , Ashby , MF and Hutchinson , JW . 1994 . Acta Metall. Mater. , 42 : 475
   Google Scholar
• Xia , ZC and Hutchinson , JW . 1996 . J. Mechan. Phys. Solids , 44 : 1621
   Web of Science ®Google Scholar
• Wei , Y and Hutchinson , JW . 1997 . J. Mechan. Phys. Solids , 45 : 1253
   Web of Science ®Google Scholar
• Shu , JY and Fleck , NA . 1998 . Internat. J. Solids Struct. , 35 : 1363
   Web of Science ®Google Scholar
• Shu , JY and Fleck , NA . 1999 . J. Mechan. Phys. Solids , 47 : 297
   Web of Science ®Google Scholar
• Gao , H , Huang , Y , Nix , WD and Hutchinson , JW . 1999 . J. Mechan. Phys. Solids , 47 : 1239
   Web of Science ®Google Scholar
• Huang , Y , Gao , H , Nix , WD and Hutchinson , JW . 2000 . J. Mechan. Phys. Solids , 48 : 99
   Web of Science ®Google Scholar
• Fleck , NA and Hutchinson , JW . 2001 . J. Mechan. Phys. Solids , 49 : 2245
   Web of Science ®Google Scholar
• Aifantis , EC . 1987 . Internat. J. Plast. , 3 : 211
   Web of Science ®Google Scholar
• Muhlhaus , HB and Aifantis , EC . 1991 . Internat. J. Solids Struct. , 28 : 845
   Web of Science ®Google Scholar
• Zbib , HM and Aifantis , EC . 1992 . Acta Mechan. , 92 : 209
   Google Scholar
• Zhang , X , Kun , J , Sharma , P and Yakobson , B . 2006 . J. Mechan. Phys. Solids , 54 : 2304
   Google Scholar
• Altan , SB and Aifantis , EC . 1992 . Scripta Mettall. , 26 : 319
   Web of Science ®Google Scholar
• Ru , CQ and Aifantis , EC . 1993 . Acta Mechan. , 101 : 59
   Web of Science ®Google Scholar
• Gutkin , MYu and Aifantis , EC . 1996 . Scripta Mettall. , 35 : 1353
   Web of Science ®Google Scholar
• Gutkin , MYu . 2000 . Rev. Adv. Mater. Sci. , 1 : 27
   Google Scholar
• Shodja , HM , Davoudi , KM and Gutkin , MYu . 2008 . Scripta Mater. , 59 : 368
   Web of Science ®Google Scholar
• Kioseoglou , J , Dimitrakopulos , GP , Komninou , Ph , Karakostas , Th and Aifantis , EC . 2008 . J. Phys. D , 41 : 1
   Google Scholar
• Kioseoglou , J , Dimitrakopulos , GP , Komninou , Ph and Karakostas , Th . 2004 . Phys. Rev. B , 70 : 0353309
   Google Scholar
• Maranganti , R and Sharma , P . 2007 . J. Mechan. Phys. Solids , 55 : 1823
   Web of Science ®Google Scholar
• Di Vincenzo , DP . 1986 . Phys. Rev. B , 34 : 5450
   Google Scholar
• Girifalco , LA and Weizer , VG . 1959 . Phys. Rev. , 114 : 687
   Web of Science ®Google Scholar
• Sutton , AP and Chen , J . 1990 . Phil. Mag. Lett. , 61 : 139
   Web of Science ®Google Scholar
• Rafii-Tabar , H and Sutton , AP . 1991 . Phil. Mag. Lett. , 63 : 217
   Web of Science ®Google Scholar
• Rafii-Tabar , H , Shodja , HM , Darabi , M and Dahi , A . 2006 . Mechan. Mater. , 38 : 243
   Google Scholar
• Shodja , HM , Pahlevani , L and Hamed , E . 2007 . Mechan. Mater. , 39 : 803
   Google Scholar
• Shodja , HM and Kamalzare , M . 2009 . Comput. Mater. Sci. , 45 : 275
   Google Scholar
• Adelzadeh , M , Shodja , HM and Rafii-Tabar , H . 2008 . Comput. Mater. Sci. , 42 : 186
   Google Scholar
• Finnis , MW and Sinclair , JE . 1984 . Phil. Mag. , 50 : 45
   Web of Science ®Google Scholar
• Daw , MS and Baskes , MI . 1984 . Phys. Rev. B , 29 : 1285
   Web of Science ®Google Scholar
• Auffray , N , Bouchet , R and Brchet , Y . 2009 . Internat. J. Solids Struct. , 46 : 440
   Google Scholar
• Lord Kelvin, Mathematical and Physical Papers, Vol. 1 (1882), p.97
   Google Scholar