Two surface plasticity models have been used increasingly in recent years to model not only uniaxial, cyclic plasticity but also multiaxial and nonproportional histories. A two surface model is presented here which predicts the increased hardening due to out-of-phase cycling in a natural way. It includes a mechanism by which the bounding surface contracts when the yield surface is not in contact. This provides a mechanism that is useful for modeling cycling behavior. Predictions of the model with experiments at moderate strain are presented.
Issue Section:
Technical Papers
1.
Abdul-Latif
Clavel
M.
Ferney
V.
Saanouni
K.
1994
, “On the Modeling of Nonproportional Cyclic Plasticity of Waspaloy
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 116
, pp. 35
–44
.2.
Bate
P. S.
Wilson
D. V.
1986
, “Analysis of the Bauschinger Effect
,” Acta Metallurgica
, Vol. 34
, pp. 1097
–1105
.3.
Benallal
A.
Marquis
D.
1987
, “Constitutive Equations for Nonproportional Cyclic, Elasto-Viscoplasticity
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 109
, pp. 326
–336
.4.
Bodner
S. R.
Partom
Y.
1975
, “Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials
,” ASME Journal of Applied Mechanics
, Vol. 42
, pp. 385
–389
.5.
Brown
S. B.
Kim
K. H.
Anand
L.
1989
, “An Internal Variable Constitutive Model for Hot Working of Metals
,” International Journal of Plasticity
, Vol. 5
, pp. 95
–130
.6.
Cailletaud
G.
Kaczmarek
H.
Policella
H.
1984
, “Some Elements on Multiaxial Behavior of 316L Stainless Steel at Room Temperature
,” Mechanics of Materials
, Vol. 3
, pp. 333
–347
.7.
Chaboche
J. L.
1986
, “Time-Independent Constitutive Theories for Cyclic Plasticity
,” International Journal of Plasticity
, Vol. 2
, pp. 149
–188
.8.
Dafalias
Y. F.
1983
, “Corotational Rates for Kinematic Hardening at Large Plastic Deformations
,” ASME Journal of Applied Mechanics
, Vol. 50
, pp. 561
–565
.9.
Dafalias
Y. F.
Popov
E. P.
1976
, “Plastic Internal Variables Formalism of Cyclic Plasticity
,” ASME Journal of Applied Mechanics
, Vol. 43
, pp. 645
–651
.10.
Doong
S. H.
Socie
D. F.
Robertson
I. M.
1990
, “Dislocation Substructures and Nonproportional Hardening
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 112
, pp. 456
–464
.11.
Feltner
C. E.
1963
, “Dislocation Arrangements in Aluminum Deformed by Repeated Tensile Stresses
,” Acta Metallurgica
, Vol. 11
, pp. 817
–828
.12.
Hasegawa
T.
Yakow
T.
Karashima
S.
1975
, “Deformation Behavior and Dislocation Structures Upon Stress Reversal in Polycrystalline Aluminum
,” Material Science and Engineering
, Vol. 20
, pp. 267
–276
.13.
Krempl
E.
Lu
H.
1984
, “The Hardening and Rate-Dependent Behavior of Fully Annealed AISI 304 Stainless Steel Under Biaxial In-Phase and Out-of-Phase Strain Cycling at Room Temperature
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 106
, pp. 376
–382
.14.
Krieg
R. D.
1975
, “A Practical Two Surface Plasticity Theory
,” ASME Journal of Applied Mechanics
, Vol. 47
, pp. 641
–646
.15.
Lemaitre, J., and Chaboche, J.-L., 1990, Mechanics of Solid Materials, Cambridge University Press, p. 113.
16.
Loret
B.
1983
, “On the Effect of Plastic Rotation in the Finite Deformation of Anisotropic Elastoplastic Materials
,” Mechanics of Materials
, Vol. 2
, pp. 287
–304
.17.
Lowe
T. C.
Miller
A. K.
1983
, “The Nature of Directional Strain Softening
,” Scripta Metallurgica
, Vol. 17
, pp. 1177
–1182
.18.
Marukawa
K.
Sanpei
T.
1971
, “Stability of the Work Hardened State Against Stress Reversal in Copper Single Crystals
,” Acta Metallurgica
, Vol. 19
, pp. 1169
–1176
.19.
McDowell
D. L.
1985
a, “An Experimental Study of the Structure of Constitutive Equations for Nonproportional Cyclic Plasticity
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 107
, pp. 307
–315
.20.
McDowell
D. L.
1985
b, “A Two Surface Model for Transient Nonproportional Cyclic Plasticity
,” ASME Journal of Applied Mechanics
, Vol. 52
, pp. 298
–308
.21.
McDowell
D. L.
1987
, “An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity
,” ASME Journal of Applied Mechanics
, Vol. 54
, pp. 323
–334
.22.
McDowell
D. L.
Moyar
G. J.
1991
, “Effects of Non-Linear Kinematic Hardening on Plastic Deformation and Residual Stresses in Rolling Line Contact
,” Wear
, Vol. 144
, pp. 19
–37
.23.
McDowell
D. L.
Stock
S. R.
Stahl
D.
Antolovich
S. D.
1988
, “Biaxial Path Dependence of Deformation Substructure of Type 304 Stainless Steel
,” Metallurgical Transactions
, Vol. 19A
, May pp. 1277
–1293
.24.
Moosbrugger
J. C.
McDowell
D. L.
1989
, “On a Class of Kinematic Hardening Rules for Nonproportional Cyclic Plasticity
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 111
, pp. 87
–98
.25.
Mroz
Z.
1967
, “On the Description of Anisotropic Workhardening
,” Journal of the Mechanics and Physics of Solids
, Vol. 15
, pp. 163
–175
.26.
Ohno
N.
1990
, “Recent Topics in Constitutive Modeling of Cyclic Plasticity and Viscoplasticity
,” ASME Applied Mechanics Reviews
, Vol. 43
, 1990, pp. 283
–295
.27.
Takahaski
Y.
Ogata
T.
1991
, “Description of Nonproportional Cyclic Plasticity of Stainless Steel by a Two-Surface Model
,” ASME Journal of Applied Mechanics
, Vol. 58
, pp. 623
–630
.28.
Trampczynski
W.
1988
, “The Experimental Verification of the Evolution of Kinematic and Isotropic Hardening in Cyclic Plasticity
,” Journal of the Mechanics and Physics of Solids
, Vol. 36
, pp. 417
–441
.29.
White
C. S.
Bronkhorst
C. A.
Anand
L.
1990
, “An Improved Isotropic-Kinematic Hardening Model for Moderate Deformation Metal Plasticity
,” Mechanics of Materials
, Vol. 10
, pp. 127
–147
.
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