References
- Kröner , E . 1958 . Kontinuumstheorie der Versetzungen und Eigenspannungen , Heidelberg : Springer .
- Nye , J . 1953 . Acta Metall. , 1 : 153
- Bilby , BA , Bullough , R and Smith , E . 1955 . Proc. Roy. Soc. London Ser. A , 231 : 263
- Kondo , K . 1952 . Proc. 2nd Jpn. Nat. Congress of Appl. Mech. , : 41
- Acharya , A . 2001 . J. Mech. Phys. Solids , 49 : 761
- Acharya , A . 2003 . Proc. Roy. Soc. A Math., Phys. Engi. Sci. , 459 ( 2034 ) : 1343
- Varadhan , SN , Beaudoin , A , Acharya , A and Fressengeas , C . 2006 . Model. Simul. Mater. Sci. Eng. , 14 : 1245
- Sedláček , R , Kratochvíl , J and Werner , E . 2003 . Phil. Mag. , 83 ( 31–34 ) : 3735
- Gao , H , Huang , Y and Nix , WEA . 1999 . J. Mech. Phys. Solids , 47 : 1239
- Zaiser , M and Aifantis , EC . 2003 . Scripta Mater. , 48 : 133
- Groma , I . 1997 . Phys. Rev. B , 56 ( 10 ) : 5807
- Zaiser , M , Miguel , MC and Groma , I . 2001 . Phys. Rev. B , 64 : 224102
- Groma , I , Csikor , F and Zaiser , M . 2003 . Acta Mater. , 51 : 1271
- Kosevich , A . 1979 . Dislocations in Solids, Vol. 1: The Elastic Theory , Edited by: Nabarro , FRN . 3 – 142 . Amsterdam : North Holand .
- El-Azab , A . 2000 . Phys. Rev. B , 61 ( 18 ) : 11956
- Hochrainer , T , Zaiser , M and Gumbsch , P . 2007 . Phil. Mag. , 87 ( 8–9 ) : 1261
- Acharya , A , Roy , A and Sawant , A . 2005 . Scripta Mater. , 54 : 705
- Hochrainer , T . 2007 . “ Evolving systems of curved dislocations: Mathematical foundations of a statistical theory ” . In PhD thesis , Aachen : University of Karlsruhe . IZBS, 2006; Shaker Verlag
- Harten , A . 1987 . J. Comput. Phys. , 71 ( 2 ) : 231
- Strikwerda , JC . 2004 . Finite Difference Schemes and Partial Differential Equations, , 2nd , Philadelphia : SIAM .
- Sedláček , R , Schwarz , C , Kratochvíl , J and Werner , E . 2007 . Phil. Mag. , 87 : 1225
- Morton , KW . 1996 . Numerical Solution of Convection Diffusion Problems , Boca Raton : Chapman & Hall .
- Sedláček , R . 2005 . Mater. Sci. Eng. A , 393 : 387
- Yefimov , S , Van der Giessen , E and Groma , I . 2004 . Model. Simul. Mater. Sci. Eng. , 12 : 1069
- Cleveringa , HHM , Van der Giessen , E and Needleman , A . 1999 . Int. J. Plasticity , 15 : 837
- Zaiser , M , Nikitas , N , Hochrainer , T and Aifantis , EC . 2007 . Phil. Mag. , 87 : 1283
- Zaiser , M and Hochrainer , T . 2006 . Scripta Mater. , 54 : 717