Dislocations in the field theory of elastoplasticity

Computational Materials Science

Volumn 28, Issue 3-4 SPEC. ISS., 2003, Pages 419-428

  Lazar, Markus ^a,b  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

Dislocations; Elastoplasticity; Moment stress; Stress functions

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FUNCTION EVALUATION; MATERIALS SCIENCE; PLASTIC DEFORMATION; STRESS ANALYSIS;

STRESS FUNCTIONS;

ELASTOPLASTICITY;

EID: 0038635325     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2003.08.003     Document Type: Conference Paper

References (24)

1. Lazar M. Ann. Phys. (Leipzig). 9:2000;461.
2. Lazar M. J. Phys. A: Math. Gen. 35:2002;1983.
3. Lazar M. Ann. Phys. (Leipzig). 11:2002;635.
4. Lazar M. J. Phys. A: Math. Gen. 36:2003;1415.
5. Edelen D.G.B., Lagoudas D.C. Sih G.C. Gauge Theory and Defects in Solids. Mechanics and Physics of Discrete System. vol. 1:1988;North-Holland, Amsterdam.
6. deWit R. J. Res. Nat. Bur. Stand. (US). 77A:1973;49.
7. deWit R. J. Res. Nat. Bur. Stand. (US). 77A:1973;607.
8. Green A.E., Naghdi P.M. Arch. Rat. Mech. Anal. 18:1965;251.
9. Kröner E. Balian R.et al. Continuum Theory of Defects. Physics of Defects (Les Houches, Session 35). 1981;215 North-Holland, Amsterdam.
10. Eringen A.C. J. Appl. Phys. 54:1983;4703.
11. Eringen A.C. Aifantis E.C., Hirth J.P. Nonlocal Continuum Theory for Dislocations and Fracture. The Mechanics of Dislocations. 1985;101 American Society of Metals, Metals Park, OH.
12. Gutkin M.Yu., Aifantis E.C. Scripta Mater. 40:1999;559.
13. Gutkin M.Yu., Aifantis E.C. Scripta Mater. 35:1996;1353.
14. Gutkin M.Yu., Aifantis E.C. Scripta Mater. 36:1997;129.
15. Kröner E. Kontinuumstheorie der Versetzungen und Eigenspannungen. Erg. Angew. Math. 5:1958;1.
16. Hirth J.P., Lothe J. Theory of Dislocations. 1982;John Wiley, New York.
17. Nowacki J.P. Bull. Acad. Polon. Sci., Sér. Sci. Techn. 21:1973;585.
18. Edelen D.G.B. Int. J. Engrg. Sci. 34:1996;81.
19. Kessel S. Z. Ang. Math. Mech. 50:1970;547.
20. Nowacki N. Arch. Mech. 26:1974;3.
21. Minagawa S. Appl. Engrg. Sci. Lett. 5:1977;85.
22. Hehl F.W., Kröner E. Z. Naturforschg. 20a:1965;336.
23. Kröner E. Matthews J.R. The Continuized Crystal as a Model for Crystals with Dislocations. Materials Modelling: From Theory to Technology. 1992;13 IOP Publishing.
24. Altan B.S., Aifantis E.C. Scripta Metall. Mater. 26:1992;319.