Finite element simulation of PSB macroband nucleation and propagation in single crystal nickel cycled at low plastic strain amplitudes

International Journal of Plasticity

Volumn 22, Issue 7, 2006, Pages 1336-1366

  Zhou, D ^a   Moosbrugger, J C ^a   Morrison, D J ^a  

^a Clarkson University   (United States)

Author keywords

Crystal plasticity; Cyclic loading; Dislocations; Finite elements; Inhomogeneous material

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUCLEATION; PLASTICS;

CRYSTAL PLASTICITY; CYCLIC LOADING; DISLOCATIONS; FINITE ELEMENTS; INHOMOGENEOUS MATERIAL;

SINGLE CRYSTALS;

EID: 33344463000     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.09.001     Document Type: Article

References (73)

1. ABAQUS Writing User Subroutines With ABAQUS 1998 Hibbitt, Karlsson & Sorensen, Inc
2. ABAQUS ABAQUS Users Guides and Theory Manual ver. 6.2 2001 Hibbitt, Karlsson & Sorensen, Inc
3. Armstrong, P.J., Frederick, C.O., 1966. A mathematical representation of the multiaxial Bauschinger effect. CEGB Report, RD/B/N 731.
4. R.J. Asaro Crystal plasticity ASME J. Appl. Mech. 50 1983 921 934
5. S.J. Basinski, and Z.S. Basinski Fundamental aspects of low amplitude cyclic deformation in face-centred cubic crystals Progress in Materials Science 1992 Pergamon Press Great Britain pp. 89-148
6. J.L. Bassani Plastic flow of crystals Adv. Appl. Mech. 30 1994 191 258
7. J.L. Bassani, and T.-Y. Wu Latent hardening in single crystals II. Analytical characterization and predictions Proc. R. Soc. Lond. Ser. A 435 1991 21 41
8. C. Blochwitz, and U. Veit Plateau behavior of fatigued FCC single crystals Cryst. Res. Technol. 17 1982 529 551
9. A.-S. Bonnet-Lebouvier, A. Molinari, and P. Lipinski Analysis of the dynamic propagation of adiabatic shear bands Int. J. Solids Struct. 39 2002 4249 4269
10. R.M. Bozorth Ferromagnetism 1951 Van Nostrand New York
11. J. Bretschneider, C. Holste, and B. Tippelt Cyclic plasticity of nickel single crystals at elevated temperatures Acta Mater. 45 9 1997 3775 3783
12. L.M. Brown Dislocation plasticity in persistent slip bands Mater. Sci. Eng. A 285 1-2 2000 35 42
13. C. Buque Dislocation structures and cyclic behavior of [0 1 1] and [-1 1 1]-oriented nickel single crystals Int. J. Fatigue 23 2001 671 678
14. G. Cailletaud Micromechanical approach to inelastic behavior of metals Int. J. Plast. 8 1992 55 73
15. G. Cailletaud, and P. Pilvin Utilisation de modèles polycristallins pour le calcul par éléments finis Rev. Eur. d'Eléments Finis 3 4 1994 515 541
16. J.-L. Chaboche, and G. Cailletaud Integration methods for complex plastic constitutive equations Comput. Meth. Appl. Mech. Eng. 133 1-2 1996 125 155
17. Chaboche, J.-L., Dang-Van, K., Cordier, G., 1979. Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel. In: Proceedings of 5th International Conference on Structural Mechanics in Reactor Technology, L11 (3).
18. J.-L. Chaboche, and D. Nouailhas Constitutive modeling of ratchetting effects - Part I: experimental facts and properties of classical models ASME J. Eng. Mater. Technol. 111 1989 384 392
19. J.-L. Chaboche, and D. Nouailhas Constitutive modeling of ratchetting effects - Part II: possibilities of some additional kinematic rules ASME J. Eng. Mater. Technol. 111 1989 409 416
20. O. Diard, S. Leclercq, G. Rousselier, and G. Cailletaud Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity: application to crystal plasticity model identification and the study of stress and strain near grain boundaries Int. J. Plasticity 21 2005 691 722
21. J.C. Figueroa, S.P. Bhat, R. de la Veaux, S. Murzenski, and C. Laird The cyclic stress strain response of copper at low strains - i: constant amplitude testing Acta Metall. 29 1981 1667 1678
22. J.M. Finney, and C. Laird Strain localization in cyclic deformation of copper single crystals Philos. Mag. 31 1975 339 366
23. S. Forest Modeling slip, kink and shear banding in classical and generalized single crystal plasticity Acta Mater. 46 1998 3265 3281
24. C.-H. Goh, R.W. Neu, and D.L. McDowell Crystallographic plasticity in fretting of Ti-6Al-4V Int. J. Plast. 19 2003 1627 1650
25. S.V. Harren, H.E. Deve, and R.J. Asaro Shear band formation in plane strain compression Acta Metall. 36 9 1988 2435 2480
26. C. Holste Cyclic plasticity of nickel, from single crystals to submicrocrystalline polycrystals Philos. Mag. 84 3-5 2004 299 315
27. C. Holste, W. Kleinert, and W. Fischer Deformation stages in a stabilized loading cycle of fatigued FCC metals (I). Experimental results Cryst. Res. Technol. 22 3 1987 419 427
28. H. Hubert, and R. Schäfer Magnetic Domains: The Analysis of Magnetic Microstructures 1998 Springer New York
29. A. Hunsche, and P. Neumann Quantitative measurement of slip band profiles and crack initiation Acta Metall. 34 1986 207 217
30. K. Inal, P.D. Wu, and K.W. Neale Finite element analysis of localization in FCC polycrystalline sheets under plane stress tension Int. J. Solids Struct. 39 2002 3469 3486
31. Jia, Y., 2002. Cyclic stress-strain response and dislocation substructure evolution of nickel. Ph.D. Dissertation, Clarkson University, Potsdam, NY.
32. D. Kuhlmann-wilsdorf, and C. Laird Dislocation behavior in fatigue Mater. Sci. Eng. 27 1977 137 156
33. V. Kuokkala, and P. Kettunen Cyclic stress strain response of polycrystalline copper in constant and variable amplitude fatigue Acta Metall. 33 1985 2041 2047
34. C. Laird F.R.N. Nabarro The Application of Dislocation Concepts in Fatigue, Dislocations in Solids 1983 North-Holland Amsterdam 57 124
35. C. Laird, and L. Buchinger Hardening behavior in fatigue Metall. Trans. A 16 1985 2201 2214
36. C. Laird, P. Charsley, and H. Mughrabi Low energy dislocation structures produced by cyclic deformation Mater. Sci. Eng. 81 1986 433 450
37. H.M. Ledbetter, and R.P. Reed Elastic properties of metals and alloys, I. Iron, nickel, and iron-nickel alloys J. Phys. Chem. Ref. Data 2 1973 531 617
38. P. Lukas, and L. Kunz Effect of grain size on the high cycle fatigue behavior of polycrystalline copper Mater. Sci. Eng. A 85 1987 67 75
39. Masing, G., 1926. In: Proceedings of the 2nd International Congress of Applied Mechanics, pp. 332-335.
40. K. Mecke, and C. Blochwitz Saturation dislocation structures in cyclically deformed nickel single crystals of different orientations Cryst. Res. Technol. 17 1982 743 758
41. M.A. Meyers, and K.K. Chawla Mechanical Behavior of Materials 1999 Prentice-Hall Englewood Cliffs, NJ
42. J.F. Molinari, and M. Ortiz Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic plasticity problems with application to adiabatic shear banding Int. J. Numer. Meth. Eng. 53 5 2002 1101 1126
43. J.C. Moosbrugger Continuum slip viscoplasticity with the Haasen constitutive model: application to cdte single crystal inelasticity Int. J. Plast. 11 7 1995 799 826
44. J.C. Moosbrugger, and D.L. McDowell On a class of kinematic hardening rules for nonproportional cyclic plasticity ASME J. Eng. Mater. Technol. 111 1989 87 98
45. D.J. Morrison, and V. Chopra Cyclic stress strain response of polycrystalline nickel Mater. Sci. Eng. A 177 1-2 1994 29 42
46. D.J. Morrison, Y. Jia, and J.C. Moosbrugger Cyclic plasticity of nickel at low plastic strain amplitude: hysteresis loop shape analysis Mater. Sci. Eng. A 314 1-2 2001 24 30
47. D.J. Morrison, Y. Jia, and J.C. Moosbrugger Cyclic plasticity of nickel at low plastic strain amplitude: constricted hysteresis loops Scr. Mater. 44 2001 449 453
48. H. Mughrabi The cyclic hardening and saturation behavior of copper single crystals Mater. Sci. Eng. 33 1978 207 223
49. H. Mughrabi Cyclic plasticity of matrix and persistent slip bands in fatigued metals O. Brulin R.K.T. Hsieh Proceedings of the Fourth International Conference on Continuum Models of Discrete Systems 1981 North-Holland Amsterdam, New York, Oxford 241 257
50. H. Mughrabi Dislocations in fatigue Proceedings of the Conference to Celebrate the Fiftieth Anniversary of the Concept of Dislocation in Crystals 1985 The Institute of Metals London 244 262
51. Mughrabi, H., Ackermann, F., Herz, K., 1979. Persistent slipbands in fatigued face-centered and body-centered cubic metals. In: Fong, J.T. (Ed.). American Society for Testing and Materials, ASTM-STP 675, pp. 69-105.
52. H. Mughrabi, and R. Wang Cyclic stress-strain response and high cycle fatigue behavior of copper polycrystals P. Lukas J. Polák Basic Mechanisms in Fatigue of Metals, Materials Science Monographs vol. 46 1988 Elsevier Amsterdam 1 14
53. A. Needleman, R.J. Asaro, J. Lemond, and D. Peirce Finite element analysis of crystalline solids Comput. Meth. Appl. Mech. Eng. 52 1985 689 708
54. Nouailhas, D., Culie, J.-P., 1991. Development and application of a model for single crystal superalloys. In: ASME Winter Annual Meeting, Atlanta, GA.
55. O.B. Pedersen Mechanism maps for cyclic plasticity and fatigue of single phase materials Acta. Metall. Mater. 38 1990 1221 1239
56. O.B. Pedersen, K.V. Rasmussen, and A.T. Winter The cyclic stress strain curves of polycrystals Acta Metall. 30 1982 57 62
57. D. Peirce, R.J. Asaro, and A. Needleman Material rate sensitivity and localized deformation in crystalline solids Acta Metall. 31 1983 1951 1976
58. J. Polák, T. Lepisto, and P. Kettunen Surface topography and crack initiation in emerging persistent slip bands in copper single crystals Mater. Sci. Eng. 74 1985 85 91
59. J. Polák, J. Helesic, and K. Obrtlik Nucleation stress for persistent slip bands in fatigued copper single crystals Mater. Sci. Eng. A 101 1988 7 12
60. J. Polák, K. Obrtlik, M. Hajek, and A. Vasek Cyclic stress strain response of polycrystalline copper in a wide range of plastic strain amplitudes Mater. Sci. Eng. A 151 1 1992 19 27
61. N. Ramakrishnan, and S.N. Atluri On shear band formation: I. Constitutive relationship for a dual yield model Int. J. Plast. 10 5 1994 499 520
62. N. Ramakrishnan, and S.N. Atluri Simulation of shear band formation in plane strain tension and compression using FEM Mech. Mater. 17 1994 307 317
63. N. Ramakrishnan, H. Okada, and S.N. Atluri On shear band formation: II. Simulation using finite element method Int. J. Plast. 10 5 1994 521 534
64. K.V. Rasmussen, and O.B. Pedersen Fatigue of copper polycrystals at low plastic strain amplitude Acta Metall. 28 1980 1467 1478
65. E.A. Repetto, and M. Ortiz A micromechanical model of cyclic deformation and fatigue-crack nucleation in f.c.c. single crystals Acta Mater. 45 1997 2577 2595
66. H.B. Sun Finite element simulation on the propagation of Luders band and effect of stress concentration Mater. Lett. 57 21 2003 3206 3210
67. Z. Wang, and C. Laird Cyclic stress strain response of polycrystalline copper under conditions producing enhanced strain localization Mater. Sci. Eng. 100 1988 57 68
68. A.T. Winter A model for the fatigue of copper at low plastic strain amplitudes Philos. Mag. 30 1974 719 738
69. D.E. Witmer, C. Laird, and G.C. Farrington On the nucleation of persistent slip bands in fatigued copper single crystals Acta Metall. 35 7 1987 1911 1918
70. B. Xu, and Y. Jiang A cyclic plasticity model for single crystals Int. J. Plast. 20 12 2004 2161 2178
71. J. Yang, Y. Li, Z. Cai, S. Li, C. Ma, E. Han, and W. Ke Evolution of persistent slip bands and simulation of its stress field in a fatigued copper single crystal Mater. Sci. Eng. A 345 1-2 2003 164 171
72. Q. Yang, A. Mota, and M. Ortiz A class of variational strain-localization finite elements Int. J. Numer. Meth. Eng. 62 8 2005 1013 1037
73. D. Zhou, J.C. Moosbrugger, Y. Jia, and D.J. Morrison A substructure mixtures model for the cyclic plasticity of single slip oriented nickel single crystal at low plastic strain amplitudes Int. J. Plast. 21 2005 2344 2368