Many theoretical studies have been made to describe multiaxial ratchetting and most of them have been concentrated on the location of the yield domain, not on its shape. In this paper, we introduce nonlinear kinematic constitutive equations consistent with ratchetting modeling into the distortional model of subsequent yield surfaces proposed by Kurtyka, T., and Zyczkowski, M. We use an efficient polycrystalline model to simulate complex tests including yield surface detections in order to get some reference predictions to use in the development of the constitutive laws introduced into the distortional model. The distortional model is thus qualitatively identified with the polycrystalline model and then quantitatively identified with the experimental results on a type 316L stainless steel. It gives promising results.
Issue Section:
Technical Papers
1.
Jiang
, Y.
, and Sehitoglu
, H.
, 1994
, “Multiaxial Cyclic Ratchetting under Multiple Step Loading
,” Int. J. Plast.
, 10
(8
), pp. 849
–870
.2.
Ringsberg
, J. W.
, 2000
, “Cyclic Ratchetting and Failure of a Pearlitic Rail Steel
,” Fatigue Fract. Eng. Mater. Struct.
, 23
, pp. 747
–758
.3.
Ringsberg
, J. W.
, Loo-Morey
, M.
, Josefson
, B. L.
, Kapoor
, A.
, and Benon
, J. H.
, 2000
, “Prediction of Fatigue Crack Initiation for Rolling Contact Fatigue
,” Int. J. Fatigue
, 22
, pp. 205
–215
.4.
Ponter
, A. R. S.
, and Leckie
, F. A.
, 1998
, “Bounding Properties of Metal-Matrix Composites Subjected to Cyclic Thermal Loading
,” J. Mech. Phys. Solids
, 46
(4
), pp. 697
–717
.5.
Ponter
, A. R. S.
, and Leckie
, F. A.
, 1998
, “On the Behavior of Metal Matrix Composites Subjected to Cyclic Thermal Loading
,” J. Mech. Phys. Solids
, 46
(11
), pp. 2183
–2199
.6.
Chaboche, J.-L., 1987, “Cyclic Plasticity Modeling and Ratchetting Effects,” Proc. of Constitutive Laws for Engineering Materials, pp. 47–58.
7.
Chaboche
, J.-L.
, and Nouailhas
, D.
, 1989
, “Constitutive Modeling of Ratchetting Effects. Part I: Experimental Facts and Properties of Classical Models
,” ASME J. Eng. Mater. Technol.
, 111
, pp. 384
–392
.8.
Chaboche
, J. L.
, and Nouailhas
, D.
, 1989
, “Constitutive Modeling of Ratchetting Effects. Part II: Possibilities of Some Additional Kinematic Rules
,” ASME J. Eng. Mater. Technol.
, 111
, pp. 409
–416
.9.
Ruggles
, M. B.
, and Krempl
, E.
, 1989
, “The influence of the Test Temperature on the Ratchetting Behavior of Type 304 Stainless Steel
,” ASME J. Eng. Mater. Technol.
, 111
, pp. 378
–383
.10.
Chaboche
, J. L.
, 1991
, “On Some Modifications of Kinematic Hardening to Improve the Description of Ratchetting Effects
,” Int. J. Plast.
, 7
, pp. 661
–678
.11.
Hassan
, T.
, and Kyriakides
, S.
, 1992
, “Ratchetting in Cyclic Plasticity, Part I: Uniaxial Behavior
,” Int. J. Plast.
, 8
, pp. 91
–116
.12.
Hassan
, T.
, Corona
, E.
, and Kyriakides
, S.
, 1992
, “Ratchetting in Cyclic Plasticity, Part II: Multiaxial Behavior
,” Int. J. Plast.
, 8
, pp. 117
–146
.13.
Cabrillat, M.-T., and Gatt, J.-M., 1993, “Evaluation of Thermal Ratchetting on Axisymetrical Thin Shells at the Free Level of Sodium-Inelastic Response,” Proceedings of SMIRT 12, E05/4.
14.
Delobelle
, P.
, 1993
, “Synthesis of the Elastoviscoplastic Behavior and Modelization of an Austenitic Stainless Steel Over a Large Temperature Range, under Uniaxial and Biaxial Loadings, Part I: Behavior
,” Int. J. Plast.
, 9
, pp. 65
–85
.15.
Delobelle
, P.
, 1993
, “Synthesis of the Elastoviscoplastic Behavior and Modelization of an Austenitic Stainless Steel Over a Large Temperature Range, under Uniaxial and Biaxial loadings, Part II: Phenomenological Modelization
,” Int. J. Plast.
, 9
, pp. 87
–118
.16.
Delobelle, P., and Bocher, L., 1994, “Experimental Study and Phenomenological Modelization of Uni and Multidirectional Ratchet,” Proceedings, Fourth International Conference on Biaxial/Multiaxial Fatigue, pp. 255–268.
17.
Hassan
, T.
, and Kyriakides
, S.
, 1994
, “Ratchetting of Cyclically Hardening and Softening Materials: I. Uniaxial Behavior
,” Int. J. Plast.
, 10
(2
), pp. 149
–184
.18.
Hassan
, T.
, and Kyriakides
, S.
, 1994
, “Ratchetting of Cyclically Hardening and Softening Materials: II. Multiaxial Behavior
,” Int. J. Plast.
, 10
(2
), pp. 185
–212
.19.
Jiang
, Y.
, and Sehitoglu
, H.
, 1994
, “Cyclic Ratchetting of 1070 Steel under Multiaxial Stress State
,” Int. J. Plast.
, 10
(5
), pp. 579
–608
.20.
Ohno
, N.
, and Wang
, J. D.
, 1994
, “Kinematic Hardening Rules for Simulation of Ratchetting Behavior
,” European Journal of Mechanics
, 13
, pp. 519
–531
.21.
Delobelle
, P.
, Robinet
, P.
, and Bocher
, L.
, 1995
, “Experimental Study and Phenomenological Modelization of Ratchet under Uniaxial and Biaxial Loading on an Austenitic Stainless Steel
,” Int. J. Plast.
, 11
(4
), pp. 295
–330
.22.
Geyer, P., 1995, “Modeling of Ratchetting in Biaxial Loading of the Stainless Steel 316 SPH between 20 and 600°C,” Proceedings of Plasticity’95, pp. 563–596.
23.
McDowell
, D. L.
, 1995
, “Stress State Dependence of Cyclic Ratchetting Behavior of Two Rail Steels
,” Int. J. Plast.
, 11
(4
), pp. 397
–421
.24.
Haupt
, A.
, and Schinke
, B.
, 1996
, “Experiments on Ratchetting behavior of AISI 316L(N) Austenitic Steel a Room Temperature
,” ASME J. Eng. Mater. Technol.
, 118
, pp. 281
–284
.25.
Bouchou
, A.
, and Delobelle
, P.
, 1996
, “Behavior and Modeling of a 17-12 SPH Stainless Steel under Cyclic, Uni and Bidirectional, Anisothermal Loadings. Part I: Behavior
,” Int. J. Plast.
, 12
, pp. 295
–303
.26.
Corona
, E.
, Hassan
, T.
, and Kyriakides
, S.
, 1996
, “On the Performance of Kinematic Hardening Rules in Predicting a Class of Biaxial Ratchetting Histories
,” Int. J. Plast.
, 12
(1
), pp. 117
–145
.27.
Jiang
, Y.
, and Sehitoglu
, H.
, 1996
, “Modeling of Cyclic Ratchetting Plasticity, Part I: Development of Constitutive Relations
,” ASME J. Appl. Mech.
, 63
, pp. 720
–725
.28.
Jiang
, Y.
, and Sehitoglu
, H.
, 1996
, “Modeling of Cyclic Ratchetting Plasticity, Part II: Comparison of Model Simulations With Experiments
,” ASME J. Appl. Mech.
, 63
, pp. 726
–733
.29.
Bocher, L., and Delobelle, P., 1997, “Experimental Study of the Cyclic Behavior of a Stainless Steel under Complex Multiaxial Loadings in Tension-Torsion-Internal Pressure,” Proceedings of SMIRT, 9, pp. 51–58.
30.
Ohno
, N.
, 1997
, “Recent Progress in Constitutive Modeling for Ratchetting
,” Materials Science Research International
, 3
(1
), pp. 1
–9
.31.
Portier
, L.
, Calloch
, S.
, Marquis
, D.
, and Geyer
, P.
, 2000
, “Ratchetting under Tension-Torsion Loadings: Experiments and Modeling
,” Int. J. Plast.
, 16
, pp. 303
–335
.32.
Bocher
, L.
, Delobelle
, P.
, Robinet
, P.
, and Feaugas
, X.
, 2001
, “Mechanical and Microstructural Investigations of an Austenitic Stainless Steel Under Non-Proportional Loadings in Tension-Torsion-Internal and External Pressure
,” Int. J. Plast.
, 17
(11
), pp. 1491
–1530
.33.
Gaudin, C., and Feaugas, X., 2000, “On the origin of the ratchetting process in austenitic stainless steel AISI 316L at T<0.4Tm,” Proceedings, Euromat 2000, Miannay et al., Elsevier, Vol. 2, pp. 1039–1046, Tours.
34.
Cailletaud
, G.
, 1992
, “A Micromechanical Approach to Inelastic Behavior of Metals
,” Int. J. Plast.
, 8
, pp. 55
–73
.35.
Ohno
, N.
, and Wang
, J. D.
, 1993
, “Kinematic Hardening Rules with Critical State of Dynamic Recovery: Part I-Formulation and Basic Features for Ratchetting Behavior
,” Int. J. Plast.
, 9
, pp. 375
–390
.36.
Burlet, H., and Cailletaud, G., 1987, “Modeling of Cyclic Plasticity in Finite Element Codes,” Proc. of Constitutive Laws for Engineering Materials: Theory and Applications, Desai et al., Elsevier, Tucson, AZ, pp. 1157–1164.
37.
Bari
, S.
, and Hassan
, T.
, 2000
, “Anatomy of Coupled Constitutive Models for Ratcheting Simulation
,” Int. J. Plast.
, 16
, pp. 381
–409
.38.
Phillips
, A.
, and Tang
, J.-L.
, 1972
, “The Effect of Loading Path on the Yield Surface at Elevated Temperatures
,” Int. J. Solids Struct.
, 8
, pp. 463
–474
.39.
Marjanovic
, R.
, and Szczepinski
, W.
, 1975
, “On the Effect of Biaxial Cyclic Loading on the Yield Surface of M-63 Brass
,” Acta Mech.
, 23
, pp. 65
–74
.40.
Phillips
, A.
, and Lee
, C.-W.
, 1979
, “Yield Surfaces and Loading Surfaces. Experiments and Recommendations
,” Int. J. Solids Struct.
, 15
, pp. 715
–729
.41.
Phillips
, A.
, and Lu
, W.-Y.
, 1984
, “An Experimental Investigation of Yield Surfaces and Loading Surfaces of Pure Aluminum with Stress-controlled and Strain-controlled Paths of Loading
,” ASME J. Eng. Mater. Technol.
, 106
, pp. 349
–354
.42.
Stout
, M. G.
, Martin
, P. L.
, Helling
, D. E.
, and Canova
, G. R.
, 1985
, “Multiaxial Yield Behavior of 1100 Aluminum Following Various Magnitudes of Prestrain
,” Int. J. Plast.
, 1
, pp. 163
–174
.43.
Rousset, M., 1985, “Surface Seuil de Plasticite´: De´termination Automatique et Mode´lisation,” Ph.D. thesis, Universite´ Paris 6, Paris.
44.
Wu
, H. C.
, and Yeh
, W. C.
, 1991
, “On the Experimental Determination of Yield Surfaces and Some Results of Annealed 304 Stainless Steel
,” Int. J. Plast.
, 7
, pp. 803
–826
.45.
Khan
, A. S.
, and Wang
, X.
, 1993
, “An Experimental Study on Subsequent Yield Surface after Finite Shear Prestraining
,” Int. J. Plast.
, 9
, pp. 889
–905
.46.
Szczepinski
, W.
, and Miastkowski
, J.
, 1994
, “On Experimental Studies of Yield Surfaces of Metals; A More General Approach
,” Arch. Mech.
, 46
(1–2
), pp. 151
–176
.47.
Kurtyka
, T.
, and Zyczkowski
, M.
, 1985
, “A Geometric Description of Distortional Plastic Hardening of Deviatoric Materials
,” Arch. Mech.
, 37
(4–5
), pp. 383
–395
.48.
Kurtyka
, T.
, and Zyczkowski
, M.
, 1996
, “Evolution Equations for Distortional Plastic Hardening
,” Int. J. Plast.
, 12
(2
), pp. 191
–213
.49.
Pilvin, P., 1990, “Approches Multie´chelles pour la pre´vision du Comportement ane´lastique des me´taux,” Ph.D. thesis, Universite´ Paris 6, Paris.
50.
Pilvin
, P.
, and Geyer
, P.
, 1997
, “Modeling of Uniaxial and Multiaxial Ratchetting of SS 316SPH by a Polycrystalline Approach,” Technical Report HT-2C/97/065/A, EDF, Lyon.
51.
Vincent, L., Calloch, S., Franc¸ois, M., and Marquis, D., 2000, “Ratchetting modeling though yield surface distortion,” Proceedings, Euromat 2000, Miannay et al., Elsevier, Vol. 1, pp. 469–474, Tours.
52.
Armstrong
, P. J.
, and Frederick
, C. O.
, 1966
, “A Mathematical Representation of the Multiaxial Baushinger Effect,” CEGB Report RD/B/N731, Berkeley Nuclear Laboratories.
53.
Marquis, D., 1979, “Mode´lisation et Identification de l’E´crouissage Anisotrope des Me´taux,” Ph.D. thesis, Universite´ Paris 6, Paris.
54.
Ohno
, N.
, and Wang
, J. D.
, 1993
, “Kinematic Hardening Rules with Critical State of Dynamic Recovery: Part II-Application to Experiments of Ratchetting Behavior
,” Int. J. Plast.
, 9
, pp. 391
–403
.55.
Cailletaud, G., and Pilvin, P., 1993, “Identification and Inverse Problems: a Modular Approach,” ASME Winter Annual Meeting on Material Parameter Estimation for Modern Constitutive Equations, pp. 33–45, New-Orleans.
56.
Portier, L., 2000, “Contribution a` l’E´tude de la De´formation Progressive des Structures,” Ph.D. thesis, ENS-Cachan, Cachan.
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