Abstract
The effects of dynamic strain aging (DSA) on residual stresses generated in Ni-base superalloys during heat treatments are not well understood. In this study, the residual stress field induced by water quenching an IN718 disc while undergoing DSA is studied using coupled thermo-mechanical finite element (FE) analyses in conjunction with neutron diffraction (ND) measurements. A visco-plastic constitutive model that incorporates the effect of DSA is proposed to describe the experimentally observed negative strain rate sensitivity and abnormal temperature dependence phenomena in the stress–strain response of solid solution treated IN718. The predicted quenching residual stresses in the disc agree well with the ND measurements. Due to the DSA, a propagating high plastic strain rate region can be identified in the disc during the early stages of the quenching process. Due to the negative strain rate sensitivity and abnormal temperature dependence effects caused by DSA, the predicted residual stresses are approximately 10% greater than when those two effects are not accounted for. The effects of different convection heat transfer conditions in the FE model are examined and discussed. It is found that the convection heat transfer coefficients have a great influence both on the disc residual stresses and DSA-related plastic strain rate field predictions.
References
1.
Horvath
, W.
, Zechner
, W.
, Tockner
, J.
, Berchthaler
, M.
, Weber
, G.
, and Werner
, E.
, 2001
, “The Effectiveness of Direct Aging on Inconel 718 Forgings Produced at High Strain Rates as Obtained on a Screw Press
,” Superalloys 718, 625, 706 and various derivatives
, Pittsburgh, PA
, June 17–20
, pp. 223
–228
.2.
Qin
, H.
, Bi
, Z.
, Yu
, H.
, Feng
, G.
, Du
, J.
, and Zhang
, J.
, 2018
, “Influence of Stress on γ″ Precipitation Behavior in Inconel 718 During Aging
,” J. Alloys. Compd.
, 740
, pp. 997
–1006
. 3.
Rahimi
, S.
, King
, M.
, and Dumont
, C.
, 2017
, “Stress Relaxation Behaviour in In718 Nickel Based Superalloy During Ageing Heat Treatments
,” Mater. Sci. Eng. A.
, 708
, pp. 563
–573
. 4.
Aba-Perea
, P.
, Pirling
, T.
, and Preuss
, M.
, 2016
, “In-Situ Residual Stress Analysis During Annealing Treatments Using Neutron Diffraction in Combination With a Novel Furnace Design
,” Mater. Des.
, 110
, pp. 925
–931
. 5.
Qin
, H.
, Bi
, Z.
, Yu
, H.
, Feng
, G.
, Zhang
, R.
, Guo
, X.
, Chi
, H.
, Du
, J.
, and Zhang
, J.
, 2018
, “Assessment of the Stress-Oriented Precipitation Hardening Designed by Interior Residual Stress During Ageing in In718 Superalloy
,” Mater. Sci. Eng. A.
, 728
, pp. 183
–195
. 6.
Woracek
, R.
, Santisteban
, J.
, Fedrigo
, A.
, and Strobl
, M.
, 2018
, “Diffraction in Neutron Imaging a Review
,” Nuclear Instruments Methods Phys. Res. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
, 878
, pp. 141
–158
. 7.
Dye
, D.
, Conlon
, K.
, and Reed
, R.
, 2004
, “Characterization and Modeling of Quenching-Induced Residual Stresses in the Nickel-Based Superalloy In718
,” Metall. Mater. Trans. A.
, 35
(6
), pp. 1703
–1713
. 8.
Cihak
, U.
, Staron
, P.
, Clemens
, H.
, Homeyer
, J.
, Stockinger
, M.
, and Tockner
, J.
, 2006
, “Characterization of Residual Stresses in Turbine Discs by Neutron and High-Energy X-Ray Diffraction and Comparison to Finite Element Modeling
,” Mater. Sci. Eng. A.
, 437
(1
), pp. 75
–82
. 9.
Rolph
, J.
, Evans
, A.
, Paradowska
, A.
, Hofmann
, M.
, Hardy
, M.
, and Preuss
, M.
, 2012
, “Stress Relaxation Through Ageing Heat Treatment—A Comparison Between In Situ and Ex Situ Neutron Diffraction Techniques
,” C. R. Phys.
, 13
(3
), pp. 307
–315
. 10.
Aba-Perea
, P. E.
, Withers
, P. J.
, Pirling
, T.
, Paradowska
, A.
, Ma
, D.
, and Preuss
, M.
, 2019
, “In Situ Study of the Stress Relaxation During Aging of Nickel-Base Superalloy Forgings
,” Metall. Mater. Trans. A.
, 50
(8
), pp. 3555
–3565
. 11.
Qin
, H.
, Zhang
, R.
, Bi
, Z.
, Lik
, L. T.
, Dong
, H.
, Du
, J.
, and Zhang
, J.
, 2019
, “Study on the Evolution of Residual Stress During Ageing Treatment in a Gh4169 Alloy Disk
,” Acta Metall. Sin.
, 55
(8
), pp. 997
–1007
.12.
Bi
, Z.
, Qin
, H.
, Dong
, Z.
, Wang
, X.
, Wang
, M.
, Liu
, Y.
, Du
, J.
, and Zhang
, J.
, 2019
, “Residual Stress Evolution and Its Mechanism During the Manufacture of Superalloy Disk Forgings
,” Acta Metall. Sin.
, 55
(9
), pp. 1160
–1174
.13.
Prime
, M. B.
, Gnäupel-Herold
, T.
, Baumann
, J. A.
, Lederich
, R. J.
, Bowden
, D. M.
, and Sebring
, R. J.
, 2006
, “Residual Stress Measurements in a Thick, Dissimilar Aluminum Alloy Friction Stir Weld
,” Acta Mater.
, 54
(15
), pp. 4013
–4021
. 14.
Mark
, A.
, Francis
, J.
, Dai
, H.
, Turski
, M.
, Hurrell
, P.
, Bate
, S.
, Kornmeier
, J. R.
, and Withers
, P.
, 2012
, “On the Evolution of Local Material Properties and Residual Stress in a Three-Pass Sa508 Steel Weld
,” Acta Mater.
, 60
(8
), pp. 3268
–3278
. 15.
Woo
, W.
, An
, G.
, Kingston
, E.
, DeWald
, A.
, Smith
, D.
, and Hill
, M.
, 2013
, “Through-Thickness Distributions of Residual Stresses in Two Extreme Heat-Input Thick Welds: A Neutron Diffraction, Contour Method and Deep Hole Drilling Study
,” Acta Mater.
, 61
(10
), pp. 3564
–3574
. 16.
Rist
, M.
, James
, J.
, Tin
, S.
, Roder
, B.
, and Daymond
, M.
, 2006
, “Residual Stresses in a Quenched Superalloy Turbine Disc: Measurements and Modeling
,” Metall. Mater. Trans. A.
, 37
(2
), pp. 459
–467
. 17.
Cihak
, U.
, Stockinger
, M.
, Staron
, P.
, Tockner
, J.
, and Clemens
, H.
, 2005
, “Characterization of Residual Stresses in Compressor Discs for Aeroengines: Neutron Diffraction and Finite Element Simulations
,” Proceedings of the Sixth International Symposium on Superalloys
, Pittsburgh, PA
, Oct. 2–5
, Vol. 718
, pp. 625
–706
.18.
Chen
, J.
, Song
, R.
, Qin
, H.
, Bi
, Z.
, Zhang
, J.
, and Li
, D.
, 2019
, “Multi-Scale Experiment and Simulation of Dynamic Strain Ageing Effect in Inconel 718 Superalloy
,” 12th International Congress on Thermal Stresses
, Hangzhou, China
, June 1–5
.19.
Zhang
, Z.
, Feng
, Y.
, Tan
, Q.
, Zou
, J.
, Li
, J.
, Zhou
, X.
, Sun
, G.
, and Wang
, Y.
, 2019
, “Residual Stress Distribution in Ni-Based Superalloy Turbine Discs During Fabrication Evaluated by Neutron/x-Ray Diffraction Measurement and Thermomechanical Simulation
,” Mater. Des.
, 166
, pp. 107603
. 20.
Song
, R.-H.
, Qin
, H.-L.
, Bi
, Z.-N.
, Zhang
, J.
, Chi
, H.
, Busso
, E. P.
, and Li
, D.-F.
, 2020
, “Experimental and Numerical Investigations of Dynamic Strain Ageing Behaviour in Solid Solution Treated Inconel 718 Superalloy
,” Engin. Comput.
, 8
(1
), pp. 19
–35
.21.
McCormick
, P.
, 1988
, “Theory of Flow Localisation Due to Dynamic Strain Ageing
,” Acta Metall.
, 36
(12
), pp. 3061
–3067
. 22.
Hale
, C.
, Rollings
, W.
, and Weaver
, M.
, 2001
, “Activation Energy Calculations for Discontinuous Yielding in Inconel 718spf
,” Mater. Sci. Eng. A.
, 300
(1–2
), pp. 153
–164
. 23.
Semiatin
, S.
, Fagin
, P.
, Streich
, B.
, Goetz
, R.
, and Venkatesh
, V.
, 2018
, “The High-Temperature Bauschinger Effect in Alloy 718
,” Proceedings of the 9th International Symposium on Superalloy 718 & Derivatives: Energy, Aerospace, and Industrial Applications
, Pittsburgh, PA
, June 3–6
, Springer, pp. 957
–975
.24.
Jinhui
, D.
, Xudong
, L.
, Qun
, D.
, and Ying
, L.
, 2017
, “Effect of Solution Treatment on the Microstructure and Mechanical Properties of In718 Alloy
,” Rare Metal Mater. Engin.
, 46
(9
), pp. 2359
–2365
. 25.
Qin
, H.
, Bi
, Z.
, Li
, D.
, Zhang
, R.
, Lee
, T. L.
, Feng
, G.
, Dong
, H.
, Du
, J.
, and Zhang
, J.
, 2019
, “Study of Precipitation-Assisted Stress Relaxation and Creep Behavior During the Ageing of a Nickel-Iron Superalloy
,” Mater. Sci. Eng. A.
, 742
, pp. 493
–500
. 26.
Aba-Perea
, P.
, Pirling
, T.
, Withers
, P.
, Kelleher
, J.
, Kabra
, S.
, and Preuss
, M.
, 2016
, “Determination of the High Temperature Elastic Properties and Diffraction Elastic Constants of Ni-Base Superalloys
,” Mater. Des.
, 89
, pp. 856
–863
. 27.
Gnäupel-Herold
, T.
, Brand
, P. C.
, and Prask
, H. J.
, 1998
, “Calculation of Single-Crystal Elastic Constants for Cubic Crystal Symmetry From Powder Diffraction Data
,” J. Appl. Crystallogr.
, 31
(6
), pp. 929
–935
. 28.
Busso
, E. P.
, and McClintock
, F. A.
, 1996
, “A Dislocation Mechanics-Based Crystallographic Model of a B2-Type Intermetallic Alloy
,” Int. J. Plast.
, 12
(1
), pp. 1
–28
. 29.
Busso
, E. P.
, 1998
, “A Continuum Theory for Dynamic Recrystallization With Microstructure-Related Length Scales
,” Int. J. Plast.
, 14
(4–5
), pp. 319
–353
. 30.
Li
, D.-F.
, and O’Dowd
, N. P.
, 2011
, “On the Evolution of Lattice Deformation in Austenitic Stainless Steels the Role of Work Hardening at Finite Strains
,” J. Mech. Phys. Solids.
, 59
(12
), pp. 2421
–2441
. 31.
Kubin
, L.
, Chihab
, K.
, and Estrin
, Y.
, 1988
, “The Rate Dependence of the Portevin-le Chatelier Effect
,” Acta Metall.
, 36
(10
), pp. 2707
–2718
. 32.
Böhlke
, T.
, Bondár
, G.
, Estrin
, Y.
, and Lebyodkin
, M. A.
, 2009
, “Geometrically Non-Linear Modeling of the Portevin–le Chatelier Effect
,” Comput. Mater. Sci.
, 44
(4
), pp. 1076
–1088
. 33.
Ren
, S.
, Mazière
, M.
, Forest
, S.
, Morgeneyer
, T. F.
, and Rousselier
, G.
, 2017
, “A Constitutive Model Accounting for Strain Ageing Effects on Work-Hardening. Application to a C–mn Steel
,” Comptes Rendus Mécanique
, 345
(12
), pp. 908
–921
. 34.
Bollenrath
, F.
, Hauk
, V.
, and Muller
, E.
, 1967
, “On the Calculation of Polycrystalline Elasticity Constants From Single Crystal Data
,” Z Metallkunde
, 58
(1
), pp. 76
–82
.35.
Wang
, J.
, Guo
, W.-G.
, Su
, Y.
, Zhou
, P.
, and Yuan
, K.
, 2016
, “Anomalous Behaviors of a Single-Crystal Nickel-Base Superalloy Over a Wide Range of Temperatures and Strain Rates
,” Mech. Mater.
, 94
, pp. 79
–90
. 36.
Sedighi
, M.
, and McMahon
, C.
, 2000
, “The Influence of Quenchant Agitation on the Heat Transfer Coefficient and Residual Stress Development in the Quenching of Steels
,” Proc. Inst. Mech. Eng. B.
, 214
(7
), pp. 555
–567
. 37.
Soares
, G.
, Queiroz
, R.
, and Santos
, L.
, 2020
, “Effects of Dynamic Strain Aging on Strain Hardening Behavior, Dislocation Substructure, and Fracture Morphology in a Ferritic Stainless Steel
,” Metall. Mater. Trans. A.
, 51
(2
), pp. 725
–739
. 38.
Guo
, H.-J.
, Ling
, C.
, Busso
, E. P.
, Zhong
, Z.
, and Li
, D.-F.
, 2020
, “Crystal Plasticity Based Investigation of Micro-Void Evolution Under Multi-Axial Loading Conditions
,” Int. J. Plast.
, 129
, p. 102673
. 39.
Guo
, H.-J.
, and Li
, D.-F.
, 2019
, “Crystal Plasticity-Based Micromechanical Finite Element Modelling of Ductile Void Growth for an Aluminium Alloy Under Multiaxial Loading Conditions
,” Proc. Inst. Mech. Engin. Part L: J. Mater. Des. Appl.
, 233
(1
), pp. 52
–62
. Copyright © 2021 by ASME
You do not currently have access to this content.
