Dislocation equilibrium conditions revisited

International Journal of Solids and Structures

Volumn 43, Issue 11-12, 2006, Pages 3444-3458

  Lubarda, V A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Core energy; Dislocation equilibrium; Dislocation interactions; Peach Koehler force; Potential energy; Strain energy; Variational principle

Indexed keywords

ELASTIC MODULI; FORCE CONTROL; IMAGE ANALYSIS; POTENTIAL ENERGY; STRAIN;

CORE ENERGY; DISLOCATION EQUILIBRIUM; DISLOCATION INTERACTIONS; PEACH-KOEHLER FORCE; STRAIN ENERGY; VARIATIONAL PRINCIPLE;

PHASE EQUILIBRIA;

EID: 33646018026     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.06.053     Document Type: Article

References (29)

1. Acharya A. Constitutive analysis of finite deformation field dislocation mechanics. J. Mech. Phys. Solids 52 (2004) 301-316
2. Amodeo R.J., and Ghoniem N.M. Dislocation dynamics. 1. A proposed methodology for deformation micromechanics. Philos. Rev. B 41 (1990) 6958-6967
3. Amodeo R.J., and Ghoniem N.M. Dislocation dynamics. 2. Applications to the formation of persistent slip bands, planar arrays and dislocation cells. Philos. Rev. B 41 (1990) 6968-6976
4. Cleveringa H.H.M., Van der Giessen E., and Needleman A. A discrete dislocation analysis of bending. Int. J. Plasticity 15 (1999) 837-868
5. Deshpande V.S., Needleman A., and Van der Giessen E. Finite strain discrete dislocation plasticity. J. Mech. Phys. Solids 51 (2003) 2057-2083
6. Eshelby J.D. Aspects of the theory of dislocations. In: Hopkins H.G., and Sewell M.J. (Eds). Mechanics of Solids: The Rodney Hill 60th Anniversary Volume (1982), Pergamon Press, Oxford 185-225
7. Gavazza S.D., and Barnett D.M. The self-force on a planar dislocation loop in an anisotropic linear-elastic medium. J. Mech. Phys. Solids 24 (1976) 171-185
8. Ghoniem N.M., Busso E.P., Kioussis N., and Huang H.C. Multiscale modelling of nanomechanics and micromechanics: An overview. Philos. Mag. 83 (2003) 3475-3528
9. Gradshteyn I.S., and Ryzhik I.M. Table of Integrals, Series, and Products (1980), Academic Press, San Diego
10. Gulluoglu A.N., Srolovitz D.J., LeSar R., and Lomdahl P.S. Dislocation distributions in 2 dimensions. Scripta Metall. 23 (1989) 1347-1352
11. Hirth J.P., and Lothe J. Theory of Dislocations. second ed. (1982), John Wiley & Sons, New York
12. Kubin L.P., Canova G., Condat M., Devincre B., Potikis V., and Bréchet Y. Dislocation microstructures and plastic flow: a 3D simulation. Solid State Phenom. 23-24 (1992) 455-472
13. LeSar R. Ambiguities in the calculation of dislocation self energies. Phys. Stat. Sol. B-Basic Res. 241 (2004) 2875-2880
14. Lubarda V.A. On the elastic strain energy representation of a dislocated body and dislocation equilibrium conditions. J. Elasticity 32 (1993) 19-35
15. Lubarda V.A. Energy analysis of dislocation arrays near bimaterial interfaces. Int. J. Solids Struct. 34 (1997) 1053-1073
16. Lubarda V.A. Dislocation arrays at the interface between an epitaxial layer and its substrate. Math. Mech. Solids 4 (1998) 411-431
17. Lubarda V.A. On the non-uniqueness of solution for screw dislocations in multiply connected regions. J. Elasticity 52 (1999) 289-292
18. Lubarda V.A., and Markenscoff X. The stress field for a screw dislocation near cavities and straight boundaries. Mater. Sci. Eng. A 349 (2003) 327-334
19. Lubarda V.A., Blume J.A., and Needleman A. An analysis of equilibrium dislocation distributions. Acta Metall. Mater. 41 (1993) 625-642
20. Miller R., Phillips R., Beltz G., and Ortiz M. A non-local formulation of the Peierls dislocation model. J. Mech. Phys. Solids 46 (1998) 1845-1867
21. Needleman A., and Van der Giessen E. Discrete dislocation and continuum descriptions of plastic flow. Mater. Sci. Eng. A 309 (2001) 1-13
22. Ortiz M., and Phillips R. Nanomechanics of defects in solids. Adv. Appl. Mech. 36 (1999) 1-79
23. Ortiz M., Cuitino A.M., Knap J., and Koslowski M. Mixed atomistic continuum models of material behavior: The art of transcending atomistics and informing continua. MRS Bull. 26 (2001) 216-221
24. Pasianot R.C., and Moreno-Gobbi A. On the Peierls stress in Al and Cu: an atomistic simulation and comparison with experiment. Phys. Stat. Sol. B 241 (2004) 1261-1268
25. Tadmor E.B., Ortiz M., and Phillips R. Quasicontinuum analysis of defects in solids. Phil. Mag. A 73 (1996) 1529-1563
26. Teodosiu C. Elastic Models of Crystal Defects (1982), Springer-Verlag, Berlin
27. Van der Giessen E., and Needleman A. Discrete dislocation plasticity: a simple planar model. Modell. Simul. Mater. Sci. Eng. 3 (1995) 689-735
28. Zbib H.M., Rhee M., and Hirth J.P. On plastic deformation and the dynamics of 3D dislocations. Int. J. Mech. Sci. 40 (1998) 113-127
29. Zbib H.M., de la Rubia T.D., and Bulatov V. A multiscale model of plasticity based on discrete dislocation dynamics. J. Eng. Mater. Technol. 124 (2002) 78-87