Screw dislocations in the field theory of elastoplasticity

Annalen der Physik (Leipzig)

Volumn 11, Issue 9, 2002, Pages 635-649

  Lazar, Markus ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Dislocations; Elastoplasticity; Moment stress

Indexed keywords

DISLOCATIONS (CRYSTALS); LAGRANGE MULTIPLIERS; LOADS (FORCES); STRESS ANALYSIS; STRESSES; TENSORS;

DISLOCATION LAGRANGIAN; ESHELBY TWIST; MOMENT STRESS; SCREW DISLOCATIONS; STATIC ELASTOPLASTICITY FIELD THEORY;

ELASTOPLASTICITY;

EID: 0036912390     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3889(200210)11:9<635::AID-ANDP635>3.0.CO;2-8     Document Type: Article

References (38)

1. W.T. Read, Dislocations in Crystals, McGraw Hill, New York (1953)
2. A. H. Cottrell, Dislocations and Plastic Flow in Crystals, Oxford University Press, New York (1965)
3. F.R.N. Nabarro, Theory of Crystal Dislocations, Dover, New York (1987)
4. J.P. Hirth and J. Lothe, Theory of Dislocations, 2nd edition, John Wiley, New York (1982)
5. B.K.D. Gairola, Gauge invariant formulation of continuum theory of defects, in: Continuum Models and Discrete Systems, Proc. 4th Int. Symp., O. Brulin and R.K.T. Hsieh, eds., North-Holland, Amsterdam (1981) p. 55
6. B.K.D. Gairola, Gauge theory of dislocations, in: Continuum Models and Discrete Systems, Proc. 7th Int. Symp., Paderborn, Germany, K.-H. Anthony and H.-J. Wagner, eds., Trans. Techn. Publ., Aedermannsdorf (CH) (1993) p. 579
7. E. Kröner, A variational principle in nonlinear dislocations theory, in: Proc. 2nd Int. Conf. Nonlin. Mechanics, Chien Wei-zang, ed., Peking University Press, Beijing (1993) p. 59
8. E. Kröner, Dislocation theory as a physical field theory, in: Continuum Models and Discrete Systems, Proc. 8th Int. Symp., Varna, Bulgaria, K.Z. Markov, ed., World Scientific, Singapore (1996) p. 522
9. M. Lazar, Ann. Phys. (Leipzig) 9 (2000) 461
10. M. Lazar, J. Phys. A: Math. Gen. 35 (2002) 1983
11. C. Malyshev, Ann. Phy. (N.Y.) 286 (2000) 249
12. A.C. Eringen, J. Appl. Phys. 54 (1983) 4703
13. A.C. Eringen, in: The Mechanics of Dislocations, Eds. E. C. Aifantis and J.P. Hirth, American Society of Metals, Metals Park, Ohio (1985) p. 101
14. A. C. Eringen, Res Mechanica 21 (1987) 313
15. A. C. Eringen, On screw dislocations and yield, in: Elasticity, Mathematical Methods and Applications, G. G. Eason and R. W. Odgen, eds., Ellis Harwood, Chichester (1990) p. 87
16. B. S. Altan and E. C. Aifantis, Scripta Metall. Mater. 26 (1992) 319
17. E. C. Aifantis, J. Mechan. Behav. Mater. 5 (1994) 355
18. M. Yu. Gutkin and E. C. Aifantis, Scripta Mater. 35 (1996) 1353
19. M. Yu. Gutkin and E. C. Aifantis, Scripta Mater. 40 (1999) 559
20. M. Yu. Gutkin, Rev. Adv. Mater. Sci. 1 (2000) 27
21. N. A. Fleck, G. M. Muller, M. F. Ashby and J. W. Hutchinson, Acta Metall. et Mater. 42 (1994) 475
22. M. C. Valsakumar and D. Sahoo, Bull. Mater. Sci. 10 (1988) 3
23. D. G. B. Edelen, Int. J. Engng. Sci. 34 (1996) 81
24. E. Kröner, Kontiunuumstheorie der Versetzungen und Eigenspannungen, Erg. Angew. Math. 5 (1958) p. 1
25. E. Kröner, Continuum theory of defects, in: Physics of defects (Les Houches, Session 35), R. Balian et al., eds., North-Holland, Amsterdam (1981) p. 215
26. R. deWit, J. Res. Nat. Bur. Stand. (U.S.) 77A (1973) 49
27. J. F. Nye, Acta Met. 1 (1953) 153
28. F. W. Hehl and E. Kröner, Z. Naturforschg. 20a (1965) 336
29. D. G. B. Edelen and D. C. Lagoudas, Gauge theory and defects in solids, North-Holland, Amsterdam (1988)
30. J. P. Nowacki, Bull. Acad. Polon. Sci., Sér. sci. techn. 21 (1973) 585
31. E. H. Mann, Proc. Roy. Soc. (London) A 199 (1949) 376
32. J.D. Eshelby, J. Appl. Phys. 24 (1953) 176
33. C. Teodosiu, Elastic Models of Crystal Defects, Springer-Verlag, Berlin (1982)
34. R. D. Dragsdorf and W.W. Webb, J. Appl. Phys. 29 (1958) 817
35. C. M. Drum, J. Appl. Phys. 36 (1965) 824
36. S. Kessel, Z. Ang. Math. Mech. 50 (1970) 547
37. N. Nowacki, Arch. Mech. 26 (1974) 3
38. S. Minagawa, Appl. Eng. Sci. Lett. 5 (1977) 85