Modelling of Bauschinger effect by various constitutive relations derived from thermodynamical formulation

Mechanics of Materials

Volumn 37, Issue 11, 2005, Pages 1143-1152

  Choteau, M ^a   Quaegebeur, P ^a   Degallaix, S ^a  

^a CNRS   (France)

Author keywords

Austenitic stainless steel; Bauschinger effect; Constitutive relation; Isotropic work hardening; Kinematic work hardening; Uni axial tension compression test

Indexed keywords

COMPRESSION TESTING; KINEMATICS; MATHEMATICAL MODELS; PLASTICS; STAINLESS STEEL; STRAIN HARDENING; STRAIN MEASUREMENT; STRESS ANALYSIS; TEMPERATURE DISTRIBUTION;

AUSTENITIC STAINLESS STEEL; BAUSCHINGER EFFECT; CONSTITUTIVE RELATION; ISOTROPIC WORK-HARDENING; KINEMATIC WORK-HARDENING; UNI-AXIAL TENSION-COMPRESSION TEST;

THERMODYNAMIC PROPERTIES;

EID: 23444438217     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2004.12.001     Document Type: Article

References (37)

1. A. Abdul-Latif, J.Ph. Dingli, and K. Saanouni Modeling of complex cyclic anelasticity in heterogeneous polycristalline microstructure Mech. Mater. 30 1998 287 305
2. A. Abel The Bauschinger effect and stacking fault energy Philos. Mag. 27 3 1973 585 594
3. A. Aran, M. Demirkol, and A. Karabulut Bauschinger effect in precipitation-strengthened aluminium alloy 2024 Mater. Sci. Eng. 89 1987 L35 L39
4. J. Bauschinger Ueber die Veränderung der Elasticitätsgrenze und des Elasticitätsmoduls verschiedener Metalle Civiling N.F. 27 19 1881 289 348
5. S.N. Buckley, and K.M. Entwistle The Bauschinger effect in super-pure aluminium single crystals and polycrystals Acta Metall. 4 4 1956 325 361
6. G. Cailletaud A micromechanical approach to inelastic behaviour of metals Int. J; Plasticity 8 1992 55 73
7. G. Cailletaud, and P. Pilvin Utilisation de modèles polycritallins par le calcul par éléments finis Revue européenne des Eléments Finis 3 4 1994 515 541
8. Choteau, M., 1999. Caractérisation de l'effet Bauschinger en sollicitations uniaxiales d'un acier inoxydable X2CrNiMo17-12-2. Thesis, Laboratoire de Mécanique de Lille, Université des Sciences et Technologies de Lille, 252p.
9. Choteau, M., Quaegebeur, P., Degallaix, S., 1999. Bauschinger effect analysis in a 316L stainless steel. In: Ellyin, F., Provan, J.W. (Eds.), Proceeding of ICM8 "Progress in Mechanical Behaviour of Materials", Canada, pp. 170-174.
10. M. Choteau, P. Quaegebeur, and S. Degallaix Prise en compte de l'effet bauschinger dans l'acier X2CrNiMo17-12-2 par deux lois de comportement Comptes Rendus Acad. Sci. Tome 328 Série II b 2000 451 456
11. A.H. Cottrell Dislocation and plastic flow in crystals 1953 Oxford University press London pp. 111-116
12. J.I. Dickson, J. Boutin, L. Handfield, and Mater A comparison of two simple methods for measuring cyclic internal and effective stresses Sci. Eng. 64 1984 L7 L11
13. J.D. Embury Structural aspects of the Bauschinger effect Mater. Forum 10 1 1987 27 32
14. X. Feaugeas On the origin of tensile flow stress in the stainless steel AISI 316L at 300 K: back stress and effective stress Acta Mater. 47 13 1999 3617 3632
15. Feaugas, X., 1994. Microstructure et modélisation du comportement en fatigue uniaxiale et multiaxiale d'un alliage de titane bi-phasé. Thesis, LG2mS, Université de Technologie de Compiègne, 540p.
16. N. Ibrahim, and J.D. Embury The Bauschinger effect in single phase b.c.c. materials Mater. Sci. Eng. 19 1975 147 149
17. B. Irimescu Evidentierea efectului Bauschinger la trei marcel de otel Metallurgia 36 2 1984 72 76
18. R.M. Jamieson, and J.E. Hood Bauschinger effect in high-strength steels J. Iron Stells Inst. 209 1 1971 46 48
19. D. Kuhlmann-Wilsdorf, and C. Laird Dislocation behaviour in fatigue: II Friction stress and back stress as inferred from an analysis of hystersis loops Mater. Sci. Eng. 37 1979 111 120
20. Lemaitre, J., Chaboche, J.-L., 1985. Mécanique des matériaux solides, Dunod Edition.
21. C.C. Li, J.D. Flasck, J.A. Yaker, and W.C. Leslie On minimizing the Bauschinger effect in steels by dynamic strain aging Metall. Trans. A 9 1978 85
22. O.B. Pederson, L.M. Brown, and W.M. Stobbs The Bauschinger effect in copper Acta Metall. 29 1981 1843 1850
23. Pilvin, P., 1994. The contribution of micromechanical approaches to the modelling of inelastic behaviour of polycrystals. In: Proceeding of the Fourth International Conference on Biaxial/Multiaxial Fatigue and Fracture, SF2M, ESIS, Paris, Vol. 1, pp. 31-46.
24. Pilvin, P., 1995. Sidolo Manuel d'utilisation, version 2.4, Ecole Centrale de Paris.
25. A. Plumtree, and H.A. Abdel-Raouf Cyclic stress-strain response and substructure Int. J. Fatigue 23 2001 799 805
26. J. Polak, F. Fardoun, and Degallaix Effective and internal stresses in cyclic straining of 316 stainless steel Mat. Sci. Eng. A215 1996 104 112
27. S. Pommier, and P. Bompard Bauschinger effect of alloys and plasticity induced crack closure: a finite element analysis Fatigue Fract. Eng. Mater. Struct. 23 2000 129 139
28. D.W.A. Rees Anisotropic hardening theory and the Bauschinger effect J. Strain Anal. 16 2 1981 85 95
29. Y. Saleh, and H. Margolin Bauschinger effect during cyclic straining of two ductilephase alloys Acta Metall. 27 1979 535 544
30. R.E. Stoltz, and R.M. Pelloux Cyclic deformation and Bauschinger effect in the Al-Cu-Mg alloys Scripta Metall. 8 1974 269 276
31. L.S. Toth, A. Molinari, and N. Zouhal Cyclic plasticity phenomena as predicted by polycristal plasticity Mech. Mater. 32 2000 99 113
32. J.-B. Vogt, T. Magnin, and J. Foct Effective stresses and microstructure in cyclically deformed 316L austenitic strainless steel Fatigue Fract. Eng. Mater. Struct. 16 5 1993 555 564
33. Welter, G., 1949. Metallurgica, Part 1, February 1949, pp. 188-190;
34. Welter, G. Metallurgica Part 2, March 1949, pp. 253-256;
35. Welter, G. Metallurgica, Part 3, April 1949, pp. 313-315.
36. T. Woillez, B. Gingembre, J. Driver, and J. Rieu Mém. Scien., R. Métal. 74 10 1977 583 591
37. R.L. Woolley The Bauschinger effect in some face-centred and bodycentred cubic metals Philos. Mag. 44 353 1953 597 618