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Part A: Materials Science

Self-consistent modelling of cyclic loading and relaxation in austenitic 316H stainless steel

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Pages 789-834 | Received 25 Jun 2018, Accepted 02 Dec 2018, Published online: 13 Dec 2018

References

  • J.N. Hu and A.C.F. Cocks, Effect of creep on the Bauschinger effect in a polycrystalline austenitic stainless steel, Scr. Mater. 128 (2017), pp. 100–104.
  • J. Hu and A.C.F. Cocks, A multi-scale self-consistent model describing the lattice deformation in austenitic stainless steels, Int. J. Solids Struct. 78-79 (2016), pp. 21–37.
  • Y. Oka, Nuclear Reactor Design, Springer BV, Tokyo, 2010.
  • M.W. Spindler, Observations regarding creep in 316H (EDF energy), HT Forum Internal Report (EDF Energy Nuclear Generation Limited) Unpublished (2011), pp. 1–18.
  • B. Chen, D.J. Smith, P.E.J. Flewitt, and M.W. Spindler, Constitutive equations that describe creep stress relaxation for 316H stainless steel at 550 deg C, Mater. High Temp. 28 (2011), pp. 155–164.
  • Y. Cui, M. Sauzay, C. Caes, P. Bonnaillie, B. Arnal, C. Cabet, M. Blat-Yrieix, and S. Dubiez-Legoff, Modeling and experimental study of long term creep damage in austenitic stainless steels, Eng. Fail. Anal. 58 (2015), pp. 452–464.
  • J.-F. Wen, S.-T. Tu, F.-Z. Xuan, X.-W. Zhang, and X.-L. Gao, Effects of stress level and stress state on creep ductility: evaluation of different models, J. Mater. Sci. Technol. 32 (2016), pp. 695–704.
  • U.F. Kocks and H. Mecking, Physics and phenomenology of strain hardening: The FCC case, Prog. Mater. Sci 48 (2003), pp. 171–273.
  • C.J. Hyde, W. Sun, and S.B. Leen, Cyclic thermo-mechanical material modelling and testing of 316 stainless steel, Int. J. Press. Vessel. Pip. Elsevier Ltd, 87 (2010), pp. 365–372.
  • J.L. Chaboche and G. Rousselier, On the plastic and viscoplastic constitutive equations - part I: Rules developed with internal variable concept, J. Press. Vessel. Technol. 150 (1983), pp. 153–158.
  • J.L. Chaboche and G. Rousselier, On the plastic and viscoplastic constitutive equations - part II : application of internal variable concepts to the 316 stainless steel, J. Press. Vessel. Technol. 105 (1983), pp. 159–164.
  • Y.P. Gong, C.J. Hyde, W. Sun and T.H. Hyde, Determination of material properties in the Chaboche unified viscoplasticity model, Proc. Inst. Mech. Eng. Part L. J. Mater. Des. Appl. 224 (2010), pp. 19–29.
  • T.D. Joseph, D. McLennon, M.W. Spindler, C.E. Truman and D.J. Smith, The effect of prior cyclic loading variables on the creep behaviour of ex-service type 316H stainless steel, Mater. High Temp. 30 (2013), pp. 156–160.
  • F.P.E. Dunne and D.R. Hayhurst, Continuum damage based constitutive equations for copper under high temperature creep and cyclic plasticity, Proc. R. Soc. Lond. A 437 (1992), pp. 545–566.
  • M.S. Bruzzi, P.E. McHugh, F. O’Rourke and T. Linder, Micromechanical modelling of the static and cyclic loading of an Al 2124-SiC MMC, Int. J. Plast. 17 (2001), pp. 565–599.
  • H.S. Turkmen, P.R. Dawson, and M.P. Miller, The evolution of crystalline stresses of a polycrystalline metal during cyclic loading, Int. J. Plast. 18 (2002), pp. 941–969.
  • Y. Wang, Design, Development and Experiments to Investigate the Effect of Elastic Follow-up on Creep Stress Relaxation in Austenitic Steels, University of Bristol, Bristol, 2015.
  • S.L. Coleman, Stress Relaxation of Ex-Heysham 1 Superheater Header Type 316H Stainless Steel, Internal Report (Nuclear Electric Ltd), Unpublished, Barnwood, 1996.
  • H. Wang, B. Clausen, C.N. Tomé and P.D. Wu, Studying the effect of stress relaxation and creep on lattice strain evolution of stainless steel under tension, Acta Mater. 61 (2013), pp. 1179–1188.
  • U. Martin, U. Mühle, and H. Oettel, Stress relaxation in superalloys due to microstructural changes, Mech. Time-Depend. Mater. 2 (1998), pp. 1–12.
  • Y.Q. Wang, M.W. Spindler, C.E. Truman and D.J. Smith, Critical analysis of the prediction of stress relaxation from forward creep of Type 316H austenitic stainless steel, Mater. Des. 95 (2016), pp. 656–668.
  • A.C.F. Cocks, Final Report on Constitutive Modelling and Stress Relaxation of 316 Stainless Steel, Internal Report (Nuclear Electric Ltd), Unpublished, Barnwood, 1996.
  • Feltham P. Creep and stress relaxation in alpha-brass at low temperatures, Philos. Mag. 1961;6:259–270.
  • R.W. Rohde and J.C. Swearengen, Metal deformation modelling – stress relaxation of aluminium, ASTM STP 676 (1979), pp. 21–34.
  • E.W. Hart and H.D. Solomon, Load relaxation studies of polycrystalline high purity aluminium, Acta Mater. 21 (1973), pp. 295–307.
  • R. Hormozi, F. Biglari, and K.M. Nikbin, Experimental study of Type 316 stainless steel failure under LCF/TMF loading conditions, Int. J. Fatigue 75 (2015), pp. 153–169.
  • D.G. Morris, Creep in Type 316 stainless steel, Acta Metall. 26 (1978), pp. 1143–1151.
  • D.G. Morris and D.R. Harries, Recovery of a creep-deformed Type 316 stainless steel, J. Mater. Sci. 14 (1979), pp. 2625–2636.
  • J. Hu and A.C.F. Cocks, Correlation between microstructure evolution and creep properties of polycrystalline austenitic stainless steel, Trans. SMiRT 23 (2015), pp. 1–10. Conference paper.
  • J. Hu, A theoretical study of creep deformation mechanisms of Type 316H stainless steel at high temperature, DPhil Thesis, University of Oxford, 2015.
  • D.G. Morris and D.R. Harries, Creep and rupture in Type 316 stainless steel at temperatures between 525 and 900°C part II: Rupture and ductility, Met. Sci. 12 (1978), pp. 532–541.
  • B. Chen, J.N. Hu, P.E.J. Flewitt, D.J. Smith, A.C.F. Cocks and S.Y. Zhang, Quantifying internal stress and internal resistance associated with thermal ageing and creep in a polycrystalline material, Acta Mater. 67 (2014), pp. 207–219.
  • B. Chen, J.N. Hu, Y.Q. Wang, S. Kabra, A.C.F. Cocks, D.J. Smith and P.E.J. Flewitt, Internal strains between grains during creep deformation of an austenitic stainless steel, J. Mater. Sci. 50 (2015), pp. 5809–5816.
  • A.K. Miller, An inelastic constitutive model for monotonic, cyclic and creep deformation: part I – equations development and analytical procedures, J. Eng. Mater.-T 96 (1976), pp. 97–105.
  • F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, and D. Raabe, Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications, Acta Mater. 58 (2010), pp. 1152–1211.
  • H. Mecking and U.F. Kocks, A Mechanism for Static and Dynamic Recovery [Internet], Strength Met. Alloy. Pergamon Press Ltd, Aachen, 1979.
  • U.F. Kocks, Laws for work-hardening and Low-temperature creep, J. Eng. Mater. Technol 98(1) (1976), pp. 76–85.
  • Y. Estrin and L.P. Kubin, Local strain hardening and nonuniformity of plastic deformation, Acta Metall. 34 (1986), pp. 2455–2464.
  • H. Wang, P.D. Wu, C.N. Tomé, and Y. Huang, A finite strain elastic-viscoplastic self-consistent model for polycrystalline materials, J. Mech. Phys. Solids 58 (2010), pp. 594–612.
  • F.P.E. Dunne, D. Rugg, and A. Walker, Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: application to cold-dwell fatigue in Ti alloys, Int. J. Plast 23 (2007), pp. 1061–1083.
  • A. Fookes, S.X. Li, and D.J. Smith, Influence of prior cyclic hardening on high temperature deformation and crack growth in Type 316L(N) stainless steel, Mater. High Temp 15 (1999), pp. 187–193.
  • S. Kikuchi and B. Ilschner, Effects of a small prestrain at high temperature on the creep behaviour of AISI 304 stainless steel, Scr. Mater 20 (1986), pp. 159–162.
  • O. Ajaja and A.J. Ardell. The effect of prior cold work on the creep characteristics of AISI Type 304 austenitic stainless steel, 1978.
  • A. Fookes, S. Li, D.J. Smith, and M. Spindler. Stress relaxation during dwells for creep and fatigue cycling of Type 316H stainless steel at 550 deg C. 2nd Int. ECCC Conf. Creep Fract. High Temp. Components-Design Life Assessment. 2009;1–10.
  • J. Hu, B. Chen, D.J. Smith, P.E.J. Flewitt, and A.C.F. Cocks, On the evaluation of the Bauschinger effect in an austenitic stainless steel—The role of multi-scale residual stresses, Int. J. Plast. 84 (2016), pp. 203–223.
  • J. Hu, B. Chen, D.J. Smith, P.E.J. Flewitt, and A.C.F. Cocks, Self-consistent modelling and the evaluation of lattice deformation in a polycrystalline austenitic stainless steel, Mater. Today Proc. 2S 2 (2015), pp. S424–S433.
  • M. Petkov, J. Hu, E. Tarleton, and A.C.F. Cocks, Comparison of self-consistent and crystal plasticity FE approaches for modelling the high-temperature deformation of 316H austenitic stainless steel. Int. J. Solids Struct. (2018).
  • D. Hull and D.J. Bacon, Introduction to Dislocations, 5th ed., Elsevier, Oxford, 2011.
  • R.J. Asaro and A. Needleman, Texture development and strain hardening in rate dependent polycrystals, Acta Metall. 33 (1985), pp. 923–953.
  • R.J. Asaro, Micromechanics of crystals and polycrystals, Adv. Appl. Mech 23 (1983), pp. 1–115.
  • E. Schmid and W. Boas, Plasticity of Crystals: with Special Reference to Metals, Hughes and Co Limited, London, 1968.
  • U.F. Kocks, A.S. Argon, and M.F. Ashby, Thermodynamics and kinetics of slip, Prog. Mater. Sci 19 (1975), pp. 1–291.
  • C.G. Schmidt and A.K. Miller, A unified phenomenological model for Non-elastic deformation of Type-316 stainless-steel 1. development of the model and Calculation of the material constants, Res Mech. 3 (1981), pp. 109–129.
  • C.G. Schmidt and A.K. Miller, A unified phenomenological model for Non-elastic deformation of Type-316 stainless-steel 2. fitting and predictive capabilities, Res Mech. 3 (1981), pp. 175–193.
  • M.F. Ashby and H.J. Frost, Deformation-mechanism Maps: The Plasticity and Creep of Metals and Ceramics, Pergamon Press Ltd, Oxford, 1982.
  • E. Kroner, On the plastic deformation of polycrystals, Acta Metall. 9 (1961), pp. 155–161.
  • B. Budiansky and T.T. Wu, Theoretical prediction of plastic strains of polycrystals, Proc 4th Congr. Appl. Mech 2 (1962), pp. 1175–1185.
  • A.J.E. Foreman and M.J. Makin, Dislocation movement through random arrays of obstacles, Philos. Mag 14 (1966), pp. 911–924.
  • A.S. Argon, Strengthening Mechanisms in Crystal Plasticity, Oxford University Press, Oxford, 2008.
  • M.F. Ashby, The Theory of the Critical Shear Stress and Work Hardening of Dispersion-Hardened Crystals, Defense Technical Information Center, Virginia, 1966.
  • E. Nes, K. Marthinsen, and Y. Brechet, On the mechanisms of dynamic recovery, Scr. Mater 47 (2002), pp. 607–611.
  • P.F. Aplin and D.D. Angelo, Dislocation-creep mechanisms in Type 316 steel, in Creep Fract. Eng. Mater. Struct, Wilshere B., Evans R.W., eds., Institute of Metals, London, 1990. pp. 537–545.
  • M. Gerland and P. Violan, Cyclic hardening and dislocation structures in type 316 stainless steel at 600°C, Mater. Sci. Eng. 84 (1986), pp. 23–33.
  • H-J. Kestenbach, W. Krauss, and T.L. da. Silviera, Creep of 316 stainless steel under high stresses, Acta Metall. 26 (1978), pp. 661.
  • M.D. Mathew, M. Sundararaman, and S.L. Mannan, Dislocation substructure and precipitation in type 316 stainless steel deformed in creep, Mater. Trans. 38 (1997), pp. 37–42.
  • S. Neves, F. Santos, W. Anacleto, and L. Paulo, Creep parameters and dislocation substructure in AISI 316 austenitic stainless steel from 600°C to 800°C, Mater. Res. 20 (2017), pp. 1–5.
  • A.A. Mamun, Origin of Creep-fatigue Back Stress and Its Effect on Deformation and Damage, The Open University, 2016.
  • F. Bachmann, R. Hielscher, and H. Schaeben, Grain detection from 2D and 3D EBSD data – specification of the MTEX algorithm, Ultramicroscopy. 11 (2011), pp. 1720–1733.
  • D.F. Li, N.P. O’Dowd, C.M. Davies, and S.Y. Zhang, Microscale prediction of deformation in an austenitic stainless steel under uniaxial loading, Eur. J. Mech. A/Solids. 30 (2011), pp. 748–760.
  • R.L. Addleman and G.A. Webster, A simple model of uniaxial creep recovery and stress relaxation based on residual-stress redistribution, J. Strain. Anal. Eng. Des. 8 (1973), pp. 99–107.
  • B.J. Henderson and J.D. Snedden, Creep recovery of commercially pure copper, J. Mech. Eng. Sci. 10 (1968), pp. 24–35.
  • M. Kamaya, A procedure for estimating Young’s modulus of textured polycrystalline materials, Int. J. Solids Struct. 46 (2009), pp. 2642–2649.
  • H.M. Ledbetter. Elastic constants of polycrystalline copper at low temperatures. Relationship to single-crystal elastic constants, Phys. Status Solidi. 66 (1981), pp. 477–484.
  • J. Lai, A study of precipitation in AISI type 316 stainless steel, Mater. Sci. Eng. 58 (1983), pp. 195–209.
  • E.F.J. Shelton, HTBASS Creep understanding. Re-priming of creep deformation behaviour during cyclic loading, 2017.
  • NIMS, Metallographic atlas of long-term crept materials – SUS 316H TB, 2003.
  • B. Wilshire and M. Willis, Mechanisms of strain accumulation and damage development during creep of prestrained 316 stainless steels, Metall. Mater. Trans. A. 35 (2004), pp. 563–571.
  • H. Yamada and C-Y. Li, Stress relaxation and mechanical equation of state in austenitic stainless steels, Metall. Trans. 4 (1973), pp. 2133–2136.

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