The structure and energetics of, and the plasticity caused by, Eshelby dislocations

International Journal of Plasticity

Volumn 27, Issue 9, 2011, Pages 1391-1408

  Weinberger, Christopher R ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Dislocations; Grain boundaries; Microstructures; Torsion

Indexed keywords

ENERGY CONFIGURATIONS; ESHELBY; ISOTROPIC ELASTICITY; META-STABLE; MOLECULAR DYNAMICS SIMULATIONS; MOLECULAR STATICS; STRUCTURE AND ENERGETICS; TORQUE-TWIST CURVE;

ELASTICITY; GRAIN BOUNDARIES;

MOLECULAR DYNAMICS;

EID: 79958152791     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.03.004     Document Type: Article

References (37)

1. S. Akarapu, H. Zbib, and D. Bahr Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression Int. J. Plast. 26 2010 239 257
2. A.A. Benzerga Micro-pillar plasticity: 2.5d mesoscopic simulations J. Mech. Phys. Solids 57 2009 1459 1469
3. A.A. Benzerga, and N. Shaver Scale dependence of mechanical properties of single crystals under uniform deformation Scripta Mater. 54 2006 1937 1941
4. A.A. Berezin An unexpected result in classical electrostatics Nature 315 1985 104
5. M.J. Bierman, Y.K.A. Lau, A.V. Kvit, A.L. Schmitt, and S. Jin Dislocation-driven nanowire growth and eshelby twist Science 320 2008 1060-1063
6. W. Cai, W. Fong, E. Elsen, and C.R. Weinberger Torsion and bending periodic boundary conditions for modelling the intrinsic strength of nanowires J. Mech. Phys. Solids 56 2008 3242
7. S. Erkoc, and H. Oymak Rules for the distriubtion of point charges on a conducting disk Phys. Rev. E. 62 2000 3075
8. S. Erkoc, and H. Oymak Energetics and stability of discrete charge distribution on a conducting disk Phys. Lett. A 290 2001 28 34 (Pubitemid 33044190)
9. J.D. Eshelby Screw dislocations in thin rods J. Appl. Phys. 24 1953 176 179
10. Eshelby, J.D., 1979. Dislocations in Solids. vol. 1. North Holland Publishers, Ch. Boundary Problems, p. 167.
11. H. Espinosa, M. Panico, S. Berbenni, and K. Schwarz Discrete dislocation dynamics simulations to interpret plasticity size and surface effects in freestanding fcc thin films Int. J. Plast. 22 2006 2091 2117 (Pubitemid 44051840)
12. N.A. Fleck, and J.W. Hutchinson A phenomenological theory for strain gradient effects in plasticity J. Mech. Phys. Solids 41 1993 1825 1857
13. N.A. Fleck, G.M. Muller, M.F. Ashby, and J.W. Hutchinson Strain gradient plasticity: theory and experiment Acta Metall. Mater. 42 1994 475 487
14. H. Gao, Y. Huang, W.D. Nix, and J.W. Hutchinson Mechanism-based strain gradien plasticity - I. Theory J. Mech. Phys. Solids 47 1999 1239 1263
15. C.-S. Han, H. Gao, Y. Huang, and W.D. Nix Mechanism-based strain gradient crystal plasticity- I. Theory J. Mech. Phys. Solids 53 2005 1188 1203 (Pubitemid 40303117)
16. C.-S. Han, H. Gao, Y. Huang, and W.D. Nix Mechanism-based strain gradient crystal plasticity- II. Analysis J. Mech. Phys. Solids 53 2005 1204 1222 (Pubitemid 40303118)
17. J. Hirth, and J. Lothe Theory of Dislocations 1982 Krieger
18. Y. Huang, H. Gao, W.D. Nix, and J.W. Hutchinson Mechanism-based strain gradient plasticity- II. Analysis J. Mech. Phys. Solids 48 2000 99 128
19. Y. Huang, S. Qu, K. Hwang, M. Li, and H. Gao A conventional theory of mechanism-based strain gradientnext term plasticity Int. J. Plasticity 20 2004 753782
20. K. Hwang, H. Jiang, Y. Huang, and H. Gao Finite deformation analysis of mechanism-based strain gradient plasticity: torsion and crack tip field Int. J. Plasticity 19 2003 235251
21. Kaluza, and Le On torsion of a single crystal rod Int. J. Plasticity 27 2011 460 469
22. C.L. Kelchner, S.J. Plimpton, and J.C. Hamilton Dislocation nucletation and defect structure during surface indentation Phys. Rev. B 58 1998 11085 11088 (Pubitemid 128481787)
23. L.P. Kubin, and A. Mortensen Geometrically necessary dislocations and strain-gradient plasticity: a few critical issues Scripta Mater. 48 2003 119 125 (Pubitemid 35412276)
24. Z. Liu, X. Liu, Z. Zhuang, and X. You Atypical three-stage-hardening mechanical behavior of cu single-crystal micropillars Scripta Mater. 60 2009 594 597
25. Y. Mishin, D. Farkas, M.J. Mehl, and D.A. Papaconstantopoulos Interatomic potentials for monoatomic metals from experimental data and ab initio calculations Phys. Rev. B 59 1999 3393 3407
26. C. Motz, D. Weygand, J. Senger, and P. Gumbsch Initial dislocation structures in 3-d discrete dislocation dynamics and their influence on microscale plasticity Acta Mater. 57 2009 1744 1754
27. W. Nix, and H. Gao Indentation size effects in crystalline materials: a law for strain gradient plasticity J. Mech. Phys. Solids 46 1998 411 425 (Pubitemid 128394207)
28. N.M. Queen The distribution of chages in classical electrostatics Nature 317 1985 208
29. M. Rees The distribution of chages in classical electrostatics Nature 317 1985 208
30. Sears, G., 1959. Twist in lithium fluoride whiskers. Journal of Chemical Physics.
31. Sears, G., DeVries, R., Huffine, C., 1961. Twist in alumina whiskers. The Journal of chemical physics.
32. Uebach, W., Bradaczek, G., 1982. Unwinding of the eshelby twist in sodium chloride whiskers. Journal of Crystal Growth.
33. C.R. Weinberger, S. Aubry, S.-W. Lee, W.D. Nix, and W. Cai Modelling dislocations in a free-standing thin film Modell. Simul. Mater. Sci. Eng. 17 2009 075007
34. C.R. Weinberger, and W. Cai Computing the image stress in an elastic cylinder J. Mech. Phys. Solids 55 2007 2027 2054 (Pubitemid 47407753)
35. C.R. Weinberger, and W. Cai Orientation dependent plasticity in metal nanowires under torsion: twist boundary formation and Eshelby twist Nano Letters 10 2010 130142
36. C.R. Weinberger, and W. Cai Plasticity of metal wires in torsion: molecular dynamics and dislocation dynamics simulations J. Mech. Phys. Solids 58 2010 1011 1025
37. J. Zhu, H. Peng, A.F. Marshall, D.M. Barnett, W.D. Nix, and Y. Cui Formation of chiral branched nanowires by the Eshelby twist Nature Nano. 3 2008 477 481