Abstract
To investigate the microstructure-dependent relationships in polycrystalline Ni-based superalloys (Haynes 282 and Inconel 718) deformed in the elastoplastic regime, the lattice strain evolution along various macroscopic directions and along various crystallographic directions is monitored via in situ neutron diffraction during uniaxial tensile loading. In addition, a crystal plasticity-based finite element model is set up to describe the micromechanical behaviour of a unit cell within a uniaxially loaded polycrystalline aggregate. Appropriate postprocessing of the (micromechanical) field quantities allows to simulate the diffraction experiment and thus to directly compare and to discuss experimental and modelling results.
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Wagner, J., Hofmann, M., Wimpory, R., Krempaszky, C., Stockinger, M.: Microstructure and temperature dependence of intergranular strains on diffractometric macroscopic residual stress analysis. Mater. Sci. Eng. A 618, 271–279 (2014)
Pike, L.: HAYNES® 282™alloy: a new wrought superalloy designed for improved creep strength and fabricability. In: ASME Turbo Expo 2006: Power for Land, Sea, and Air, pp. 1031–1039 (2006)
Wagner, J.N., Hofmann, M., Van Petegem, S., Krempaszky, C., Hoelzel, M., Stockinger, M.: Comparison of intergranular strain formation of conventional and newly developed nickel based superalloys. Mater. Sci. Eng. A 662, 303–307 (2016)
Abdolvand, H., Daymond, M.R.: Internal strain and texture development during twinning: comparing neutron diffraction measurements with crystal plasticity finite-element approaches. Acta Mater. 60, 2240–2248 (2012)
Song, X., Zhang, S.Y., Dini, D., Korsunsky, A.M.: Finite element modelling and diffraction measurement of elastic strains during tensile deformation of HCP polycrystals. Comput. Mater. Sci. 44, 131–137 (2008)
Delannay, L., Jacques, P.J., Kalidindi, S.R.: Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons. Int. J. Plast. 22, 1879–1898 (2006)
Woo, W., Em, V., Kim, E.-Y., Han, S., Han, Y., Choi, S.-H.: Stress–strain relationship between ferrite and martensite in a dual-phase steel studied by in situ neutron diffraction and crystal plasticity theories. Acta Mater. 60, 6972–6981 (2012)
Clausen, B., Tomé, C., Brown, D., Agnew, S.: Reorientation and stress relaxation due to twinning: modeling and experimental characterization for Mg. Acta Mater. 56, 2456–2468 (2008)
Hoelzel, M., Senyshyn, A., Juenke, N., Boysen, H., Schmahl, W., Fuess, H.: High-resolution neutron powder diffractometer SPODI at research reactor FRM II. Nucl. Instrum. Methods Phys. Res. Sect. A Accel. Spectrom. Detect. Assoc. Equip. 667, 32–37 (2012)
Rietveld, H.M.: A profile refinement method for nuclear and magnetic structures. J. Appl. Crystallogr. 2, 65–71 (1969)
Rodriguez-Carvajal, J.: FULLPROF: a program for Rietveld refinement and pattern matching analysis. In: Satellite Meeting on Powder Diffraction of the XV Congress of the IUCr, vol. 127 (1990)
Howard, C., Kisi, E.: Measurement of single-crystal elastic constants by neutron diffraction from polycrystals. J. Appl. Crystallogr. 32, 624–633 (1999)
He, B.B.: Two-Dimensional X-Ray Diffraction. Wiley, New York (2018)
Hoelzel, M., Gan, W., Hofmann, M., Randau, C., Seidl, G., Jüttner, P., Schmahl, W.W.: Rotatable multifunctional load frames for neutron diffractometers at FRM II-design, specifications and applications. Nucl. Instrum. Methods Phys. Res. Sect. A Accel. Spectrom. Detect. Assoc. Equip. 711, 101–105 (2013)
Hutchings, M.T., Withers, P.J., Holden, T.M., Lorentzen, T.: Introduction to the Characterization of Residual Stress by Neutron Diffraction. CRC Press, Boca Raton (2005)
Wu, L., Agnew, S., Brown, D., Stoica, G., Clausen, B., Jain, A., Fielden, D., Liaw, P.: Internal stress relaxation and load redistribution during the twinning-detwinning-dominated cyclic deformation of a wrought magnesium alloy, ZK60A. Acta Mater. 56, 3699–3707 (2008)
Quey, R., Dawson, P., Barbe, F.: Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing. Comput. Methods Appl. Mech. Eng. 200, 1729–1745 (2011)
Werner, E., Wesenjak, R., Fillafer, A., Meier, F., Krempaszky, C.: Microstructure-based modelling of multiphase materials and complex structures. Contin. Mech. Thermodyn. 28, 1325–1346 (2016)
Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D.D., Bieler, T.R., Raabe, D.: Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater. 58, 1152–1211 (2010)
Roters, F.: Advanced material models for the crystal plasticity finite element method: development of a general CPFEM framework. Technical Report Fachgruppe für Materialwissenschaft und Werkstofftechnik (2011)
Roters, F., Eisenlohr, P., Kords, C., Tjahjanto, D., Diehl, M., Raabe, D.: DAMASK: the Düsseldorf advanced material simulation kit for studying crystal plasticity using an FE based or a spectral numerical solver. Proc. IUTAM 3, 3–10 (2012)
Meier, F., Schwarz, C., Werner, E.: Crystal-plasticity based thermo-mechanical modeling of Al-components in integrated circuits. Comput. Mater. Sci. 94, 122–131 (2014)
Roters, F., Diehl, M., Shanthraj, P., Eisenlohr, P., Reuber, C., Wong, S.L., Ma, D., Jia, N., Kok, P.J.J., Fujita, N., Ebrahimi, A., Hochrainer, T., Grilli, N., Janssens, K.G.F., Stricker, M., Weygand, D., Meier, F., Werner, E., Fabritius, H.-O., Nikolov, S., Friák, M., Raabe, D.: DAMASK: the Düsseldorf advanced material simulation Kit for modelling multi-physics crystal plasticity, damage, and thermal phenomena from the single crystal up to the component scale. Comput. Mater. Sci (2018) (in press)
Kanrar, A., Ghosh, U.: The elastic stiffness coefficients of nickel–iron single-crystal alloys at room temperature. J. Appl. Phys. 52, 5851–5852 (1981)
Wallow, F., Neite, G., Schröer, W., Nembach, E.: Stiffness constants, dislocation line energies, and tensions of Ni3Al and of the \(\gamma ^{\prime }\)-phases of NIMONIC 105 and of NIMONIC PE16. Phys. Status Solidi (a) 99, 483–490 (1987)
Jablonski, P.D., Cowen, C.J., Hawk, J.A.: Effects of Al and Ti on Haynes 282 with fixed gamma prime content. In" Proceedings of the 7th International Symposium on Superalloy 718 and Derivatives, pp 617–628 (2012)
Grant, B.M., Francis, E.M., da Fonseca, J.Q., Daymond, M.R., Preuss, M.: Deformation behaviour of an advanced nickel-based superalloy studied by neutron diffraction and electron microscopy. Acta Mater. 60, 6829–6841 (2012)
Fillafer, A., Werner, E., Krempaszky, C.: On phase transformation induced effects controlling the initial flow behavior of ferritic-martensitic dual-phase steels. Mater. Sci. Eng. A 708, 556–562 (2017)
Merrick, H.: The low cycle fatigue of three wrought nickel-base alloys. Metall. Trans. 5, 891–897 (1974)
Bouaziz, O., Guelton, N.: Modelling of TWIP effect on work-hardening. Mater. Sci. Eng. A 319, 246–249 (2001)
Han, G., Jones, I., Smallman, R.: Direct evidence for Suzuki segregation and Cottrell pinning in MP159 superalloy obtained by FEG (S) TEM/EDX. Acta Mater. 51, 2731–2742 (2003)
Titus, M.S., Mottura, A., Viswanathan, G.B., Suzuki, A., Mills, M.J., Pollock, T.M.: High resolution energy dispersive spectroscopy mapping of planar defects in L12-containing co-base superalloys. Acta Mater. 89, 423–437 (2015)
Barba, D., Smith, T., Miao, J., Mills, M., Reed, R.: Segregation-assisted plasticity in Ni-based superalloys. Metall. Mater. Trans. A 49, 1–13 (2018)
Acknowledgements
We gratefully acknowledge the DFG for funding this research within projects KR 3687/3-1, HO 3322/3-1 and WA 3676/1-1. In addition, the authors thank the German neutron source FRM II for providing beam time at instruments STRESS-SPEC and SPODI and the instrument scientist M. Hölzel for his support during and after the powder diffraction measurement.
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Communicated by Andreas Öchsner.
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von Kobylinski, J., Lawitzki, R., Hofmann, M. et al. Micromechanical behaviour of Ni-based superalloys close to the yield point: a comparative study between neutron diffraction on different polycrystalline microstructures and crystal plasticity finite element modelling. Continuum Mech. Thermodyn. 31, 691–702 (2019). https://doi.org/10.1007/s00161-018-0720-0
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DOI: https://doi.org/10.1007/s00161-018-0720-0