Nonlinear kinematic hardening rule parameters - relationship to substructure evolution in polycrystalline nickel

International journal of plasticity

Volumn 16, Issue 3, 2000, Pages 439-467

  Moosbrugger, J C ^a   Morrison, D J ^a   Jia, Y ^a  

^a Clarkson University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSION TESTING; DISLOCATIONS (CRYSTALS); GRAIN SIZE AND SHAPE; HARDENING; KINEMATICS; PLASTICITY; POLYCRYSTALLINE MATERIALS; TENSILE TESTING; TRANSMISSION ELECTRON MICROSCOPY;

ARMSTRONG-FREDERICK KINEMATIC HARDENING; GENERAL CYCLIC PLASTICITY; MASSING ASSUMPTION;

NICKEL;

EID: 0033888744     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(99)00061-3     Document Type: Article

References (56)

1. Abdul-Latif A. Heterogeneities of the local inelastic deformation prior to fatigue damage initiation. Khan A.S. Constitutive Modeling and Damage of Engineering Materials and Structures. Proc. Plasticity '99. 1999;869 Neat Press, Fulton, MD.
2. Armstrong, P.J., Frederick, C.O., 1966. A mathematical representation of the multiaxial Bauschinger effect. CEGB Report RD/B/N 731.
3. Asaro R.J. Elastic-plastic memory and kinematic hardening. Acta Metall. 23:1975;1255.
4. Barbe F., Forest S., Quilici S., Cailletaud G. Intergranular and transgranular behavior of polycrystalline aggregates. Khan A.S. Constitutive Modeling and Damage of Engineering Materials and Structures. Proc. Plasticity '99. 1999;109 Neat Press, Fulton, MD.
5. Basinski Z.S., Basinski S.J. Fundamental aspects of low amplitude cyclic deformation in face-centered cubic crystals. Prog. Mater. Science. 36:1992;89.
6. Benallal A., Marquis D. Constitutive equations for nonproportional cyclic elasto-viscoplasticity. ASME J. Eng. Mat. Tech. 109:1987;326.
7. Blochwitz C., Veit U. Plateau behavior of fatigued fcc single crystals. Cryst. Res. Tech. 17:1982;529.
8. Blochwitz C., Brechbuhl J., Tirschler W. Analysis of activated slip systems in fatigued nickel polycrystals using the EBSD-technique in the scanning electron microscope. Mat. Sci. Eng A. A210:1996;42.
9. Cailletaud G. A micromechanical approach to inelastic behavior of metals. Int. J. Plasticity. 8:1992;55.
10. Chaboche J.-L. Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int. J. Plasticity. 5:1989;247.
11. Chaboche J.-L., Rousellier G. On the plastic and viscoplastic constitutive equations - part I: rules developed with internal variable concept. ASME J. Pressure Vessel Tech. 105:1983;153.
12. Chaboche, J.-L., Dang-Van, K. and Cordier, G., 1979. Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel. Proc. 5th Int. Conf. on Struc. Mech. in Reactor Tech., Vol. L11(3), Berlin.
13. Chiang D.Y. A phenomenological model for cyclic plasticity. ASME J. Eng. Mat. Tech. 119:1997;7.
14. Chiang D.Y. Modeling and identification of elastic-plastic systems using the distributed element model. ASME J. Eng. Mat. Tech. 119:1997;332.
15. Chiang D.Y., Beck J.L. A new class of distributed element models for cyclic plasticity - I. Theory and application. Int. J. Solids Structures. 31:1994;469.
16. Chiang D.Y., Beck J.L. A new class of distributed element models for cyclic plasticity-II. On important properties of material behavior. Int. J. Solids Structures. 31:1994;485.
17. Cottrell, A.H., 1953. Dislocations and Plastic Flow in Crystals. Oxford University Press, London, p. 111.
18. Fardoun O.O., Polák O.O., Degaillaix O.O. Internal and effective stress analysis in stainless steels using the statistical approach method. Mat. Sci. Eng A. A234:1997;456.
19. Figueroa J.C., Bhat S.P., de la Veaux R., Murzenski S., Laird C. The cyclic stress strain response of copper at low strains - I: constant amplitude testing. Acta Metall. 29:1981;1667.
20. Hansen N. Polycrystalline strengthening. Metall. Trans. A. 16A:1985;2167.
21. Holste C., Kleinert W., Fischer W. Deformation stages in a stabilized loading cycle of fatigued fcc metals I: experimental results. Cryst. Res. Tech. 22:1987;419.
22. Iwan W.D. On a class of models for the yielding behavior of continuous and composite systems. ASME J. Appl. Mech. 34:1967;612.
23. Kuhlmann-Wilsdorf D., Laird C. Dislocation behavior in fatigue. Mater. Sci. Eng. 27:1977;137.
24. Kuokkala V., Kettunen P. Cyclic stress strain response of polycrystalline copper in constant and variable amplitude fatigue. Acta Metall. 33:1985;2041.
25. Laird C. The application of dislocation concepts in fatigue. Nabarro F.R.N. Dislocations in Solids. 1983;57 New Holland, Amsterdam.
26. Laird C., Buchinger L. Hardening behavior in fatigue. Metall. Trans. A. 16:1985;2201.
27. Laird C., Charsley P., Mughrabi H. Low energy dislocation structures produced by cyclic deformation. Mater. Sci. Eng. 81:1986;433.
28. Llanes L., Bassani J.L., Laird C. Cyclic response of polycrystalline copper - composite grain model. Acta Metall. Mater. 42:1994;1279.
29. Lukas P., Kunz L. Effect of grain size on the high cycle fatigue behavior of polycrystalline copper. Mater. Sci. Eng. 85:1987;67.
30. Marquis, D., 1979. Écrouissage Anisotrope des Métaux. Thesis, Université Paris 6, Paris, France.
31. Masing, G., 1926. Eigenspannungen und verfestigung beim messing. Proc. 2nd Int. Cong. of Appl. Mech., Zurich, p. 332.
32. Mecke K., Blochwitz C. Saturation dislocation structures in cyclically deformed nickel single crystals of different orientations. Cryst. Res. Tech. 17:1982;743.
33. Moosbrugger J.C., McDowell D.L. On a class of kinematic hardening rules for nonproportional cyclic plasticity. ASME J. Eng. Mat. Tech. 111:1989;87.
34. Moosbrugger J.C., Morrison D.J. Nonlinear kinematic hardening rule parameters - direct determination from completely reversed proportional cycling. Int. J. Plasticity. 13:1997;633.
35. Moosbrugger, J.C., 2000. Anisotropic nonlinear kinematic hardening rule parameters from reversed proportional axial-torsional cycling. ASME J. Eng. Mat. Tech. 122, 18.
36. Morrison D.J. Influence of grain size and texture on the cyclic stress strain response of nickel. Mat. Sci. Eng. A187:1994;11.
37. Morrison D.J., Chopra V. Cyclic stress strain response of polycrystalline nickel. Mat. Sci. Eng. A177:1994;29.
38. Mughrabi H. The cyclic hardening and saturation behavior of copper single crystals. Mater. Sci. Eng. 33:1978;207-223.
39. Mughrabi H. Cyclic plasticity of matrix and persistent slip bands in fatigued metals. Brulin O., Hsieh R. Continuum Models of Discrete Systems. 1981;241 North-Holland, Amsterdam.
40. Mughrabi, H., 1984. Dislocations in fatigue. In: Dislocations in Real Materials. Institute of Metals, p. 244.
41. Mughrabi H., Wang R. Cyclic stress-strain response and high cycle fatigue behavior of copper polycrystals. Lukas P., Polák J. Basic Mechanisms in Fatigue of Metals. Materials Science Monographs, Vol. 46. 1988;1 Amsterdam, Elsevier.
42. Mughrabi, H., Ackermann, F., Herz, K., 1979. Persistent slipbands in fatigued face-centered and body-centered cubic metals. In: Fatigue Mechanisms, ASTM-STP 675, p. 69.
43. Ohno N. A constitutive model of cyclic plasticity with a non-hardening strain region. ASME J. Appl. Mech. 49:1982;721.
44. Pedersen O.B. Mechanism maps for cyclic plasticity and fatigue of single phase materials. Acta Metall. et Mater. 38:1990;1221.
45. Pedersen O.B., Rasmussen K.V., Winter A.T. The cyclic stress strain curves of polycrystals. Acta Metal. 30:1982;57.
46. Pilvin P., Geyer P. Modeling of uniaxial and multiaxial ratchetting of ss 316 sph by a polycrystalline approach. Khan A.S. Physics and Mechanics of Finite Plastic and Viscoplastic Deformation. Proc. Plasticity '97. 1997;365 Neat Press, Fulton, MD.
47. Polák J., Klesnil M. The hysteresis loop 1. A statistical theory. Fat. Eng. Mat. Structures. 5:1982;19.
48. Polák J., Klesnil M., Helesic J. The hysteresis loop 2. An analysis of the loop shape. Fat. Eng. Mat. Structures. 5:1982;33.
49. Polák J., Obrtlik K., Helesic J. Cyclic strain localization in polycrystalline copper at room temperature and low temperatures. Mater. Sci. Eng. A. A132:1991;67.
50. Polák J., Obrtlik K., Hajek M., Vasek A. Cyclic stress strain response of polycrystalline copper in a wide range of plastic strain amplitudes. Mater. Sci. Eng. A. A151:1992;19.
51. Rasmussen K.V., Pedersen O.B. Fatigue of copper polycrystals at low plastic strain amplitude. Acta Metall. 28:1980;1467.
52. Skelton R.P., Maier H.J., Christ H.J. The Bauschinger effect, Masing model and the Ramberg-Osgood relation for cyclic deformation in metals. Mat. Sci. Eng. (A). A238:1997;377.
53. Wang Z., Laird C. Cyclic stress strain response of polycrystalline copper under conditions producing enhanced strain localization. Mater. Sci. Eng. 100:1988;57.
54. Winter O.O. A model for fatigue of copper at low plastic strain amplitudes. Phil. Mag. 30:1974;719.
55. Witmer D.E., Laird C., Farrington G.C. On the nucleation of persistent slip bands in fatigued copper single crystals. Acta Metall. Mater. 35:1987;1911.
56. Zouhal N., Molinari A., Tóth L. Elastic-plastic effects during cyclic loading as predicted by the Taylor-Lin model of polycrystal elasto-viscoplasticity. Int. J. Plastcity. 12:1996;343.