On the elastic-viscoplastic behavior of nanocrystalline materials

International Journal of Plasticity

Volumn 23, Issue 4, 2007, Pages 561-591

  Capolungo, L ^a,b   Cherkaoui, M ^a,b   Qu, J ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Composite materials; Hall Petch; Homogenization; Nanocrystalline materials

Indexed keywords

COMPOSITE MATERIALS; CREEP; DISLOCATIONS (CRYSTALS); ELASTICITY; GRAIN BOUNDARIES; MATHEMATICAL MODELS; VISCOPLASTICITY;

HALL-PETCH; HOMOGENIZATION;

NANOSTRUCTURED MATERIALS;

EID: 33845899969     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2006.05.003     Document Type: Article

References (73)

1. Ashby M.F. The deformation of plastically non-homogeneous materials. Philosophical Magazine 21 (1970) 399-424
2. Berbenni S., Favier V., Lemoine X., and Berveiller M. Micromechanical modeling of the elastic viscoplastic behavior of polycrystalline steels having different microstructures. Materials Science and Engineering A 372 (2004) 128-136
3. Birringer R. Nanocrystalline materials. Materials Science and Engineering A 117 (1989) 33-43
4. Bitzek E., and Gumbsch P. Dynamic aspects of dislocation motion: atomistic simulations. Materials Science and Engineering A 400-401 (2005) 40-44
5. Cai B., Kong Q.P., Cui P., and Lu K. Interface controlled diffusional creep of nanocrystalline pure copper. Scripta Materialia 41 (1999) 755-759
6. Cai B., Kong Q.P., Lu K., and Lu L. Low temperature creep of nanocrystalline pure copper. Materials Science and Engineering A 286 1 (2000) 188-192
7. Cai B., Kong Q.P., Cui P., and Lu K. Creep behavior of cold-rolled nanocrystalline pure copper. Scripta Materialia 45 12 (2001) 1407-1413
8. Capolungo L., Cherkaoui M., and Qu J. A self consistent model for the inelastic deformation of nanocrystalline materials. Journal of Engineering Materials and Technology 127 (2005) 400-407
9. Capolungo L., Jochum C., Cherkaoui M., and Qu J. Homogenization method for strength and inelastic behavior of nanocrystalline materials. International Journal of Plasticity 21 (2005) 67-82
10. Carsley J.E., Ning J., Milligan W.W., Hackney S.A., and Aifantis E.C. A simple, mixture based model for the grain size dependence of strength in nanophase metals. Nanostructured Materials 5 (1995) 441-448
11. Cheng S., Ma E., Wang Y.M., Kecskes L.J., Youssef K.M., Koch C.C., Trociewitz U.P., and Han K. Tensile properties of in situ consolidated nanocrystalline Cu. Acta Materialia 53 (2005) 1521-1533
12. Cherkaoui M., Sun Q., and Song G.Q. Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement. International Journal of Solids and Structures 37 (2000) 1577-1594
13. Chokshi A.H., Rosen A., Karch J., and Gleiter H. On the validity of the hall-petch relationship in nanocrystalline materials. Scripta Metallurgica 23 10 (1989) 1679-1683
14. Coble R.L. A model for boundary diffusion controlled creep of polycrystalline materials. Journal of Applied Physics 34 (1963) 1679-1682
15. Conrad H., and Narayan J. On the grain size softening in nanocrystalline materials. Scripta Materialia 42 (2000) 1025-1030
16. Derlet P.M., and Van Swygenhoven H. Length scale effects in the simulation of deformation properties of nanocrystalline metals. Scripta Materialia 47 (2002) 719-724
17. Eshelby J.D. The determination of an ellispoidal inclusion and related problems. Proceedings of the Royal Society of London A241 (1957) 376-396
18. Esquivel E.V., and Murr L.E. Grain boundary contributions to deformation and solid-state flow in severe plastic deformation. Materials Science and Engineering: A 409 (2005) 13-23
19. Estrin Y. Dislocation theory based constitutive modeling: foundations and applications. Journal of the Materials Processing Technology 80-81 (1998) 33-39
20. Estrin Y., and Mecking H. An unified phenomenological description of work hardening and creep based on one parameter models. Acta Metallurgica 32 (1984) 57-70
21. Fitzsimmons M.R., Röll A., Burkel E., Sickafus K.E., Nastasi M.A., Smith G.S., and Pynn R. The magnetization of a grain boundary in nickel. Nanostructured Materials 6 5-8 (1995) 539-542
22. Froseth A., Van Swygenhoven H., and Derlet P.M. The influence of twins on the mechanical properties of nc-Al. Acta Materialia 52 (2004) 2259-2268
23. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. Mechanism based strain gradient plasticity II Analysis. Journal of the Mechanics and Physics of Solids 47 (1999) 1239-1263
24. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. Mechanism based strain gradient plasticity I. Theory. Journal of the Mechanics and Physics of Solids 47 (1999) 1239-1263
25. Gertsman V.Y., Birringer R., Valiev Z.R., and Gleiter H. On the structure and strength of ultrafine-grained copper produced by severe plastic deformation. Scripta Metallurgica et Materialia 30 2 (1994) 229-234
26. Gutkin M.Y., Ovid'Ko I.A., and Skiba N.V. Transformation of grain boundaries due to disclination motion and emission of dislocations pairs. Materials Science and Engineering A339 (2003) 73-80
27. Hahn H., Mondal P., and Padmanabhan K.A. Plastic deformation of nanocrystalline materials. Nanostructured Materials 9 (1997) 603-606
28. Hall E.O. The deformation and aging of mild steel. Proceedings of the Physical Society of London B64 (1951) 747
29. Hirth, J. P., Lothe, J., 1982. Theory of Dislocations, New York.
30. Iwasaki H., Higashi K., and Nieh T.G. Tensile deformation and microstructure of a nanocrystalline Ni-W alloy produced by electrodeposition. Scripta Materialia 50 (2004) 395-399
31. Jiang B., and Weng G.J. A generalized self consistent polycrystal model for the yield strength of nanocrystalline materials. Journal of the Mechanics and Physics of Solids 52 (2004) 1125-1149
32. Karaman I., Sehitoglu H., Beaudoin A.J., Chumlyakov Y.I., Maier H.J., and Tome C.N. Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip. Acta Materialia 48 (2000) 2031-2047
33. Ke M., Hackney S.A., Milligan W.W., and Aifantis E.C. Observations and measurement of grain rotation and plastic strain in nanostructured metal thin films. Nanostructured Materials 5 (1995) 689-697
34. Khan A.S., Suh Y.S., Chen X., Takacs L., and Zhang H. Nanocrystalline aluminum and iron: Mechanical behavior at quasi-static and high strain rates, and constitutive modeling. International Journal of Plasticity 22 (2006) 195-209
35. Kim H.S., and Estrin Y. Phase mixture modeling of the strain rate dependent mechanical behavior of nanostructured materials. Acta Materialia 53 (2005) 765-772
36. Kim H.S., Estrin Y., and Bush M.B. Plastic deformation behaviour of fine grained materials. Acta materialia 48 (2000) 493-504
37. Kim H.S., Estrin Y., and Bush M.B. Constitutive modeling of strength and plasticity of nanocrystalline metallic materials. Materials Science and Engineering A316 (2001) 195-199
38. Klement U., Erb U., El-Sherik A.M., and Aust K.T. Thermal stability of nanocrystalline Ni. Materials Science and Engineering A 203 1-2 (1995) 177-186
39. Kocks U.F. Laws for work hardening and low temperature creep. Transactions of the ASME (1976) 76-85
40. Kocks U.F., and Mecking H. Physics and phenomenology of strain hardening. Progress in Materials Science 48 (2003) 171-273
41. Kocks U.F., Argon A.S., and Ashby M.F. Thermodynamics and kinetics of slip. Progress in Materials Science 19 (1975) 1-291
42. Konstantinidis D.A., and Aifantis E.C. On the "anomalous" hardness of nanocrystalline materials. Nanostructured Materials 10 (1998) 1111-1118
43. Kuhlman-Wilsdorf D. A new theory of work. Transactions of the Metallurgical Society of AIME 218 (1962) 962
44. Kumar K.S., Suresh S., Chisolm M.F., Horton J.A., and Wang P. Deformation of electrodeposited nanocrystalline nickel. Acta Materialia 51 (2003) 387-405
45. Li J.C.M. Petch relation and grain boundary sources. Transactions of the Metallurgical Society of AIME 227 (1963) 239
46. Li Y.J., Blum W., and Breutinger F. Does nanocrystalline Cu deform by Coble creep near room temperature. Materials Science and Engineering A 387-389 (2004) 585-589
47. Masumura R.A., Hazzledine P.M., and Pande C.S. Yield stress of fine grained materials. Acta Materialia 46 (1998) 4527-4534
48. Murr L.E., and Venkatesh E. Contrast phenomena and identification of grain boundary ledges. Metallography 11 (1978) 61-79
49. Nes E. Modeling of work hardening and stress saturation in FCC metals. Progress in Materials Science 41 (1997) 129-193
50. Petch N.J. The cleavage strength of polycrystals. Journal of the Iron and Steel Institute 74 (1953) 25
51. Sanders P.G., Eastman J.A., and Weertman J.R. Elastic and tensile behavior of nanocrystalline copper and palladium. Acta Metallurgica 45 (1997) 4019-4025
52. Sanders P.G., Rittner M., Kiedaisch E., Weertman J.R., Hung H., and Lu Y.C. Creep of nanocrystalline Cu, Pd, and Al-Zr. Nanostructured Materials 9 1-8 (1997) 433-440
53. Sansoz F., and Molinari J.F. Mechanical behavior of Sigma tilt grain boundaries in nanoscale Cu and Al: a quasicontinuum study. Acta Materialia 53 (2005) 1883-1893
54. Schuh C.A., Nieh T.G., and Yamasaki T. Hall Petch Breakdown manifested in abrasive wear resistance of nanocrystalline nickel. Scripta Materialia 46 (2002) 735-740
55. Spearot D.E., Jacob K.I., and McDowell D.L. Nucleation of dislocations from [0 0 1] bicrystal interfaces in aluminum. Acta Materialia 53 (2005) 3579-3589
56. Spearot D.E., Jacob K.I., and McDowell D.L. Dislocation nucleation from bicrystal interfaces with dissociated structure. International Journal of Plasticity 23 (2007) 143-160
57. Stokes R.J., and Cottrel A.H. Work softening in aluminum crystals. Acta Metallurgica 2 (1954)
58. Suryanarayanan Iyer R., Frey R., Sastry S.M.L., Waller B.E., Bates S.E., and Buhro W.E. Plastic deformation of nanocrystalline Cu and Cu-0 2 wt.% B. Materials Science and Engineering A 264 1-2 (1999) 210-214
59. Taylor G.I. The mechanism of plastic deformation of crystals: Part 1 theoretical. Proceedings of the Royal Society A CXLV (1934) 362-387
60. Valiev R.Z., Kozlov E.V., Ivanov Yu.F., Lian J., Nazarov A.A., and Baudelet B. Deformation behavior of ultra-fine-grained copper. Acta Metallurgica et Materialia 42 (1994) 2467-2475
61. Van Swygenhoven H., and Caro A. Molecular dynamics computer simulation of nanophase Ni: structure and mechanical properties. Nanostructured Materials 9 (1997) 669-672
62. Van Swygenhoven H., Caro A., and Farkas D. Grain boundary structure and its influence on plastic deformation of polycrystalline FCC metals at the nanoscale: a molecular dynamics study. Scripta Materialia 44 (2001) 1513-1516
63. Van Swygenhoven H., Budrovic Z., Derlet P.M., Froseth A.G., and Van Petegem S. In situ diffraction profile analysis during tensile deformation motivated by molecular dynamics. Materials Science and Engineering A 400-401 (2005) 329-333
64. Venkatesh E.S., and Murr L.E. Variations in grain boundary ledge structure with thermomechnical treatment in high purity aluminum. Scripta Metallurgica 10 (1976) 477-480
65. Wang G.-F., Feng X.Q., Shou-Wen Y., and Ce-Wen N. Interface effects on effective elastic moduli of nanocrystalline materials. Materials Science and Engineering A 363 1-2 (2003) 1-8
66. Wang H., and Yang W. A screw dislocation nucleated from a triple junction. International Journal of Plasticity 21 (2005) 2053-2070
67. Wang Y.M., Wang K., Pan D., Lu K., Hemker K.J., and Ma E. Microsample testing of nanocrystalline copper. Scripta Materialia 48 (2003) 1581-1586
68. Warner D.H., Sansoz F., and Molinari J.F. Atomistic based continuum investigation of plastic deformation in nanocrystalline copper. International Journal of Plasticity 22 (2006) 754-774
69. Wei Y.J., and Anand L. Grain boundary sliding and separation in polycrystalline metals: application to nanocrystalline fcc metals. Journal of the Physics and Mechanics of Solids 52 (2004) 2587-2616
70. Wei Q., Cheng S., Ramesh K.T., and Ma E. Effect of nanocrystalline and ultrafine grain sizes on the strain rate sensitivity and activation volume: fcc versus bcc metals. Materials Science and Engineering 381 (2004) 71-79
71. Yamakov V., Wolf D., Salazar M., Phillpot S.R., and Gleiter H. Length scale effects in the nucleation of extended dislocations in nanocrystalline Al by molecular dynamics simulation. Acta Materialia 49 (2001) 2713-2722
72. Yamakov V., Wolf D., Salazar M., Phillpot S.R., and Gleiter H. Deformation twinning in nanocrystalline Al by molecular dynamics simulation. Acta Materialia 50 (2002) 5005-5020
73. Yin W.M., Whang S.H., Mirshams R., and Xiao C.H. Creep behavior of nanocrystalline nickel at 290 and 373 K. Materials Science and Engineering A301 (2001) 18-22