Dislocation subgrain structures and modeling the plastic hardening of metallic single crystals

Modelling and Simulation in Materials Science and Engineering

Volumn 18, Issue 5, 2010, Pages

  Hansen, B L ^a,b   Bronkhorst, C A ^a   Ortiz, M ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION RESPONSE; DISLOCATION STRUCTURES; DISLOCATION WALLS; FINITE ELEMENT SIMULATIONS; FIRST-ORDER APPROXIMATIONS; GEOMETRICAL RELATIONSHIP; LATENT HARDENING; LENGTH SCALE; LOCAL MODEL; MATERIAL PARAMETER; MATERIAL PROPERTY; MEAN FREE PATH; MOBILE DISLOCATIONS; NONLOCAL; NONLOCAL PROPERTIES; NONLOCAL TERM; PATH DEPENDENCE; PLASTIC HARDENING; PLASTICITY MODEL; SEQUENTIAL LAMINATES; SHAPE EFFECT; SINGLE CRYSTAL PLASTICITY; SLIP MODEL; SLIP PLANE; SLIP SYSTEM; SUBGRAIN STRUCTURES; SUBGRAINS; TENSION TESTS;

BOUNDARY LAYERS; COMPUTER SIMULATION; CRYSTAL STRUCTURE; FINITE ELEMENT METHOD; GRAIN SIZE AND SHAPE; HARDENING; OPTIMIZATION; PLASTICITY; SINGLE CRYSTALS; TENSILE TESTING;

DISLOCATIONS (CRYSTALS);

EID: 77952000090     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/18/5/055001     Document Type: Article

References (39)

1. Aubrey S and Ortiz M 2003 Proc. R. Soc. Lond. A 459 3131-58
2. Aubrey S, Fago M and Ortiz M 2003 Comput. Methods Appl. Mech. Eng. 192 2823-43
3. Barrett C 1952 Structure of Metals (New York: McGraw-Hill)
4. Bronkhorst C 1991 Plastic deformation and crystallographic texture evolution in face-centered cubic materials PhD Thesis Massachusetts Institute of Technology, appendix F
5. Bronkhorst C, Hansen B, Cerreta E and Bingert J 2007 J. Mech. Phys. Solids 55 2351-83
6. Cerreta E 2008 private communication Los Alamos National Laboratory
7. Conti S and Ortiz M 2005 Arch. Ration. Mech. Anal. 176 103-47
8. Conti S and Theil F 2005 Arch. Ration. Mech. Anal. 178 125-48
9. Conti S, Hauret P and Ortiz M 2007 Multiscale Modelling Simul. 6 135-57
10. Cuitino A and Ortiz M 1993 Modelling Simul. Mater. Sci. Eng. 1 225-63
11. Devincre B, Hoc T and Kubin L 2008 Science 320 1745-8
12. Dmitrieva O, Dondl P, Muller S and Raabe D 2009 Acta Mater. 57 3439-49
13. Franciosi P 1985 Acta Metall. 33 1601-12
14. Franciosi P and Zaoui A 1982 Acta Metall. 30 1627-37
15. Greer J, Oliver W and Nix W 2005 Acta Mater. 53 1821-30
16. Gurses E and Ortiz M 2009 Unpublished manuscript
17. Hall E 1951 Proc. Phys. Soc. B 64 747-53
18. Hansen B 2009 Modeling metallic single crystal plastic hardening through the evolution of dislocation subgrain structures PhD Thesis California Institute of Technology (http://resolver.caltech.edu/CaltechETD:etd-03132009-154225)
19. Hansen N 2004 Scr. Mater. 51 801-6
20. Hansen N, Huang X and Hughes D 2001 Mater. Sci. Eng. A 317 3-11
21. Havner K 2005 Phil. Mag. 85 2861-94
22. Hughes D and Hansen N 1997 Acta Mater. 45 3871-86
23. Hughes D, Liu Q, Chrzan D and Hansen N 1997 Acta Mater. 45 105-12
24. Kalidindi S and Anand L 1993 Metall. Trans. A 24 989-92
25. Kocks U, Argon A and Ashby M 1975 Progress in Materials Science: Thermodynamics and Kinetics of Slip (New York: Pergamon)
26. Kohn R 1991 Contin. Mech. Thermodyn. 3 193-236
27. Lee E 1969 J. Appl. Mech. 36 1-6
28. Ortiz M and Repetto E 1999 J. Mech. Phys. Solids 47 397-462
29. Ortiz M and Stainier L 1999 Comput. Methods Appl. Mech. Eng. 171 419-44
30. Ortiz M, Repetto E and Stainier L 2000 J. Mech. Phys. Solids 48 2077-114
31. Petch N 1953 J. Iron Steel Inst. 174 25-28
32. Rice J 1971 J. Mech. Phys. Solids 19 433-55
33. Rice J 1975 Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms Constitutive Equations in Plasticity ed A Argon (Cambridge, MA: MIT Press)
34. Rockafellar R 1970 Convex Analysis (Princeton, NJ: Princeton University Press)
35. Shade P, Wheeler R, Choi Y, Uchic M, Dimiduk D and Fraser H 2009 Acta Mater. 57 4580-7
36. Simmons G and Wang H 1971 Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook (Cambridge, MA: MIT Press)
37. Steeds J 1966 Proc. R. Soc. Lond. A 292 343-73
38. Teodosiu C 1982 Elastic Models of Crystal Defects (Berlin: Springer)
39. Uchic M, Dimiduk D, Florando J and Nix W 2004 Scr. Mater. 51 801-6