Being of particular interest in this work, the effect of the interaction law on the predicted non-linear overall and local behaviors of FCC polycrystals of two well-established self-consistent models is examined under uni, bi, and triaxial cyclic loading conditions. The principal difference between these models is related to their interaction laws. Comparisons between the predictions of the models are performed at the overall and local levels simultaneously. Some experimental cyclic results of two states of Waspaloy and 316L stainless steel are employed in calibrating the parameters of both models. The effects of loading complexity, aggregate type and the kinematic hardening on the polycrystal responses are investigated for each model. It is recognized that the connection between the aggregate constitution and the form of the loading paths play also an important role notably on the local responses of polycrystals.
Issue Section:
Technical Papers
1.
Taylor
, G. I.
, 1938
, “Plastic Strain in Metals
,” J. Inst. Met.
, 62
, pp. 307
307
.2.
Hershey
, A.
, 1954
, “The Elasticity of an Isotropic Aggregate of Anisotropic Cubic Crystals
,” ASME J. Appl. Mech.
, 18
, pp. 236
236
.3.
Lin, T. H., 1957, “Analysis of Elastic and Plastic Strain of FCC Crystal,” J. Mech. Phys. Solids, 5, pp. 143.
4.
Kro¨ner
, E.
, 1961
, “Zur Plastichen Verformung des Vielkristalls
,” Acta Metall.
, 9
, pp. 155
155
.5.
Budianski, B., and Wu, T. T., 1962, “Theoretical Prediction of Plastic Strains of Polycrystals,” Proc. 4th U.S. Nat. Cong. Appl. Mech., ASME, New York, pp. 1175.
6.
Hill
, R.
, 1965
, “Continuum Micro-mechanical Elastoplastic Polycrystals
,” J. Mech. Phys. Solids
, 13
, pp. 89
89
.7.
Brown
, G. M.
, 1970
, “A Self-Consistent Polycrystalline Model for Creep under Combined Stress States
,” J. Mech. Phys. Solids
, 18
, pp. 367
367
.8.
Rice
, J. R.
, 1970
, “On the Structure of Stress-Strain Relations for Time Dependent Plastic Deformation in Metals
,” ASME J. Appl. Mech.
, 37
, pp. 728
728
.9.
Rice
, J. R.
, 1971
, “Inelastic Constitutive Relations for Solids: An Internal-variable Theory and Its Application to Metal Plasticity
,” J. Mech. Phys. Solids
, 19
, pp. 433
433
.10.
Hutchinson
, J. W.
, 1970
, “Elastic-Plastic Behavior of Polycrystalline Metals and Composites
,” Proc. R. Soc. London, Ser. A
, 319
, pp. 247
247
.11.
Hutchinson
, J. W.
, 1976
, “Bounds and Self-Consistent Estimate for Creep of Polycrystalline Materials
,” Proc. R. Soc. London, Ser. A
, 348
, pp. 101
101
.12.
Laws
, N.
, and McLaughlin
, R.
, 1978
, “Self-Consistent Estimates for the Viscoelastic Creep Compliance of Composite Materials
,” Proc. R. Soc. London, Ser. A
, 359
, pp. 251
251
.13.
Berveiller
, M.
, and Zaoui
, A.
, 1979
, “An Extension of the Self-Consistent Scheme to Plasticity Flowing Polycrystals
,” J. Mech. Phys. Solids
, 26
, pp. 325
325
.14.
Iwakuma
, T.
, and Nemat-Nasser
, S.
, 1984
, “Finite Elastic Deformation of Polycrystalline Metals
,” Proc. R. Soc. London, Ser. A
, 394
, pp. 87
87
.15.
Nemat-Nasser
, S.
, and Obata
, M.
, 1986
, “Rate-Dependent, Finite Elasto-Plastic Deformation of Polycrystals
,” Proc. R. Soc. London, Ser. A
, 407
, pp. 343
343
.16.
Molinari
, A.
, Canova
, G. R.
, and Ahzi
, S.
, 1987
, “A Self-Consistent Approach of the Large Deformation Viscoplasticity
,” Acta Metall.
, 35
, pp. 2983
2983
.17.
Molinari
, A.
, Ahzi
, S.
, and Kouddane
, R.
, 1997
, “On the Self-Consistent Modeling of Elasto-plastic Behavior of Polycrystals
,” Mech. Mater.
, 26
, pp. 43
43
.18.
Cailletaud
, G.
, 1992
, “A Micromechanical Approach to Inelastic Behavior of Metals
,” Int. J. Plast.
, 8
, pp. 55
55
.19.
Weng
, G. J.
, 1993
, “A Self-Consistent Relation for the Time-dependent Creep of Polycrystals
,” Int. J. Plast.
, 9
, pp. 181
181
.20.
Lebensohn
, R. A.
, and Tome´
, C. N.
, 1993
, “A Self-Consistent Anisotropic Approach for the Simulation of Plastic Deformation and Texture Development of Polycrystals: Application to Zirconium Alloys
,” Acta Metall. Mater.
, 41
, pp. 2611
2611
.21.
Rougier, Y., Stola, C., and Zaoui, A., 1994, “Self-Consistent Modeling of Elastic-Viscoplastic Polycrystals,” C. R. Acad. Sci. Paris, 319, pp. 145.
22.
Abdul-Latif, A., Dingli, J. Ph., and Saanouni, K., 1998, “Modeling of Complex Cyclic Inelasticity in Heterogeneous Polycrystalline Microstructure,” J. Mech. Mater., 30, pp. 287.
23.
Abdul-Latif
, A.
, Dingli
, J. Ph.
, and Saanouni
, K.
, 2002
, “A New Elasto-Inelastic Multi-scale Model of Polycrystals
,” ASME J. Appl. Mech.
, 69
, pp. 309
309
.24.
Dingli
, J. P.
, Abdul-Latif
, A.
, and Saanouni
, K.
, 2000
, “Predictions of the Complex Cyclic Behavior of Polycrystals Using a New Self-Consistent Modeling
,” Int. J. Plast.
, 16
, pp. 411
411
.25.
Saanouni
, K.
, and Abdul-Latif
, A.
, 1996
, “Micromechanical Modeling of Low Cycle Fatigue under Complex Loadings-Part I. Theoretical Formulation
,” Int. J. Plast.
, 12
, pp. 1111
1111
.26.
Poubanne, P., Nouailhas, D., and Cailletaud, G., 1988, “Modeling of Viscoplastic anisotropic Behavior of Single Crystals,” Proc. Mecamat on Inelastic Behavior of Solids: Modeling and Utilization, Besanc¸on, France, 30 August-1 September.
27.
Pilvin, P., 1990, “Approaches Multie´chelles pour la Pre´vision du Comportement Ane´lastique des Me´taux,” The`se de Doctorat, Universite´ Paris 6.
28.
Abdul-Latif
, A.
, Clavel
, M.
, Ferney
, V.
, and Saanouni
, K.
, 1994
, “On the Modeling of Nonproportional Cyclic Plasticity of Waspaloy
,” ASME J. Eng. Mater. Technol.
, 116
, pp. 35
35
.29.
Calloch, S., and Marquis, D., 1997, “Additional Hardening Due to Tension-Torsion Non-proportional Loadings: Influence of the Loading Shape,” Multiaxial Fatigue and Deformation Testing Techniques, S. Kalluri and P. J. Bonacuse, eds., American Society for Testing and Materials, ASTM STP 1280, pp. 113–130.
30.
Abdul-Latif
, A.
, Ferney
, V.
, and Saanouni
, K.
, 1999
, “Fatigue Damage of Waspaloy Under Complex Loading
,” ASME J. Eng. Mater. Technol.
, 118
, pp. 278
278
.31.
Abdul-Latif
, A.
, and Saanouni
, K.
, 1996
, “Micromechanical Modeling of Low Cycle Fatigue Under Complex Loadings-Part II. Applications
,” Int. J. Plast.
, 12
, pp. 1123
1123
.32.
Calloch, S., 1997, “Essais Triaxiaux Non-proportionnels et Inge´nierie des Mode`les de Plasticite´ Cyclique,” The`se de Doctorat, Universite´ Paris 6.
33.
Kouddane, R., 1994, “Approche Autocohe´rente en Elasto-viscoplasticite´ des Mate´riaux He´te´roge`nes,” The`se de Doctorat, Universite´ de Metz, France.
Copyright © 2004
by ASME
You do not currently have access to this content.
