Computational Micromechanics Modeling of Polycrystalline Superalloys. . .
161
17. A. Cruzado, S. Lucarini, J. Llorca, J. Segurado, Microstructure-based fatigue life model of
metallic alloys with bilinear coffin-manson behavior. Int. J. Fatigue 107, 40–48 (2018)
18. Dream.3D, Website. http://dream3d.bluequartz.net (2012)
19. P. Eisenlohr, M. Diehl, R.A. Lebensohn, F. Roters, A spectral method solution to crystal elastoviscoplasticity at finite strains. Int. J. Plast. 46, 37–53 (2013)
20. Y.C. Fayman, Microstructural characterization and element partitioning in a direct – aged
superalloy (DA718). Mater. Sci. Eng. A 92, 159–171 (1987)
21. D. Fournier, A. Pineau, Low cycle fatigue behavior of inconel 718 at 298 k and 823 k. Metall.
Trans. A 8(7), 1095–1105 (1977)
22. C. Geuzaine, J.-F. Remacle, GMSH: a 3-D finite element mesh generator with built-in pre- and
post-processing facilities. Int. J. Numer. Methods Eng. 79(11), 1309–1331 (2009)
23. D. Gustafsson, J. Moverare, K. Simonsson, S. Sjöström, Modeling of the constitutive behaviour
of inconel 718 at intemediate temperatures. J. Eng. Gas Turbines Power 133, 1–4 (2011)
24. E.O. Hall, The deformation and ageing of mild steel: III discussion of results. Proc. Phys. Soc.
Sect. B 64, 747–753 (1951)
25. S. Hazanov, C. Huet, Order relationships for boundary condition effects in heterogeneous
bodies smaller that the representative volume. J. Mech. Phys. Solids 42, 1995–2011 (1994)
26. R. Heilbronner, D. Bruhn, The influence of three-dimensional grain size distributions on the
rheology of polyphase rocks. J. Struct. Geol. 20(6), 695–705 (1998)
27. V. Herrera-Solaz, J. Llorca, E. Dogan, I. Karaman, J. Segurado, An inverse optimization
strategy to determine single crystal mechanical behavior from polycrystal tests: application
to AZ31 Mg alloy. Int. J. Plast. 57, 1–15 (2014)
28. V. Herrera-Solaz, J. Segurado, J. Llorca, On the robustness of an inverse optimization approach
based on the Levenberg-Marquardt method for the mechanical behavior of polycrystals. Eur. J.
Mech./A 53, 220–228 (2015)
29. P. Hidalgo-Manrique, V. Herrera-Solaz, J. Segurado, J. Llorca, F. Gálvez, O.A. Ruano, S. Yi,
M.T. Pérez-Prado, Origin of the reversed yield asymmetry in Mg-rare earth alloys at high
temperature. Acta Mater. 92, 265–277 (2015)
30. R. Hill, A self consistent mechanics of composite materials. J. Mech. Phys. Solids 13, 213–222
(1965)
31. S. Kalluri, K.B.S. Rao, G.R. Halford, M.A. McGaw, Deformation and damage mechanisms in
inconel 718 superalloy. in Superalloys 718, 625, 706 and Various Derivatives, The Minerals,
Metals and Materials Society, pp. 593–606 (1994)
32. D. Kupka, N. Huber, E. Lilleodden, A combined experimental-numerical approach for elastoplastic fracture of individual grain boundaries. J. Mech. Phys. Solids 64, 455–467 (2014)
33. R.A. Lebensohn, N-site modelling of a 3D viscoplastic polycrystal using fast fourier transform.
Acta Mater. 49, 2723–2737 (2001)
34. R.A. Lebensohn, C.N. Tomé, A self-consistent anisotropic approach for the simulation of
plastic deformation and texture development of polycrystals: application to zirconium alloys.
Acta Metall. et Mater. 41, 2611–2624 (1993)
35. R.A. Lebensohn, A.K. Kanjarla, P. Eisenlohr, An elasto-viscoplastic formulation based on fast
fourier transforms for the prediction of micromechanical fields in polycrystalline materials. Int.
J. Plast. 32–33, 59–69 (2012)
36. F. Lu, Z. Guang, Z. Ke-shi, Discussion of cyclic plasticity and viscoplasticity of single crystal
nickel-based superalloy in large strain analysis: comparison of anisotropic macroscopic model
and crystallographic model. Int. J. Mech. Sci. 46(8), 1157–1171 (2004)
37. S. Lucarini, J. Segurado, On the accuracy of spectral solvers for micromechanics based fatigue
modeling. Comput. Mech. 63, 365–382 (2019)
38. K. Maciejewski, H. Ghonem, Isotropic and kinematic hardening as functions of gamma prime
precipitates in a nickel-based superalloy. Int. J. Fatigue 68, 123–135 (2014)
39. A. Manonukul, F.P.E. Dunne, High– and low–cycle fatigue crack initiation using polycrystal
plasticity. Proc. R. Soc. Lond. A Math. Phys. Eng. Sci. 460(2047), 1881–1903 (2004)
161
17. A. Cruzado, S. Lucarini, J. Llorca, J. Segurado, Microstructure-based fatigue life model of
metallic alloys with bilinear coffin-manson behavior. Int. J. Fatigue 107, 40–48 (2018)
18. Dream.3D, Website. http://dream3d.bluequartz.net (2012)
19. P. Eisenlohr, M. Diehl, R.A. Lebensohn, F. Roters, A spectral method solution to crystal elastoviscoplasticity at finite strains. Int. J. Plast. 46, 37–53 (2013)
20. Y.C. Fayman, Microstructural characterization and element partitioning in a direct – aged
superalloy (DA718). Mater. Sci. Eng. A 92, 159–171 (1987)
21. D. Fournier, A. Pineau, Low cycle fatigue behavior of inconel 718 at 298 k and 823 k. Metall.
Trans. A 8(7), 1095–1105 (1977)
22. C. Geuzaine, J.-F. Remacle, GMSH: a 3-D finite element mesh generator with built-in pre- and
post-processing facilities. Int. J. Numer. Methods Eng. 79(11), 1309–1331 (2009)
23. D. Gustafsson, J. Moverare, K. Simonsson, S. Sjöström, Modeling of the constitutive behaviour
of inconel 718 at intemediate temperatures. J. Eng. Gas Turbines Power 133, 1–4 (2011)
24. E.O. Hall, The deformation and ageing of mild steel: III discussion of results. Proc. Phys. Soc.
Sect. B 64, 747–753 (1951)
25. S. Hazanov, C. Huet, Order relationships for boundary condition effects in heterogeneous
bodies smaller that the representative volume. J. Mech. Phys. Solids 42, 1995–2011 (1994)
26. R. Heilbronner, D. Bruhn, The influence of three-dimensional grain size distributions on the
rheology of polyphase rocks. J. Struct. Geol. 20(6), 695–705 (1998)
27. V. Herrera-Solaz, J. Llorca, E. Dogan, I. Karaman, J. Segurado, An inverse optimization
strategy to determine single crystal mechanical behavior from polycrystal tests: application
to AZ31 Mg alloy. Int. J. Plast. 57, 1–15 (2014)
28. V. Herrera-Solaz, J. Segurado, J. Llorca, On the robustness of an inverse optimization approach
based on the Levenberg-Marquardt method for the mechanical behavior of polycrystals. Eur. J.
Mech./A 53, 220–228 (2015)
29. P. Hidalgo-Manrique, V. Herrera-Solaz, J. Segurado, J. Llorca, F. Gálvez, O.A. Ruano, S. Yi,
M.T. Pérez-Prado, Origin of the reversed yield asymmetry in Mg-rare earth alloys at high
temperature. Acta Mater. 92, 265–277 (2015)
30. R. Hill, A self consistent mechanics of composite materials. J. Mech. Phys. Solids 13, 213–222
(1965)
31. S. Kalluri, K.B.S. Rao, G.R. Halford, M.A. McGaw, Deformation and damage mechanisms in
inconel 718 superalloy. in Superalloys 718, 625, 706 and Various Derivatives, The Minerals,
Metals and Materials Society, pp. 593–606 (1994)
32. D. Kupka, N. Huber, E. Lilleodden, A combined experimental-numerical approach for elastoplastic fracture of individual grain boundaries. J. Mech. Phys. Solids 64, 455–467 (2014)
33. R.A. Lebensohn, N-site modelling of a 3D viscoplastic polycrystal using fast fourier transform.
Acta Mater. 49, 2723–2737 (2001)
34. R.A. Lebensohn, C.N. Tomé, A self-consistent anisotropic approach for the simulation of
plastic deformation and texture development of polycrystals: application to zirconium alloys.
Acta Metall. et Mater. 41, 2611–2624 (1993)
35. R.A. Lebensohn, A.K. Kanjarla, P. Eisenlohr, An elasto-viscoplastic formulation based on fast
fourier transforms for the prediction of micromechanical fields in polycrystalline materials. Int.
J. Plast. 32–33, 59–69 (2012)
36. F. Lu, Z. Guang, Z. Ke-shi, Discussion of cyclic plasticity and viscoplasticity of single crystal
nickel-based superalloy in large strain analysis: comparison of anisotropic macroscopic model
and crystallographic model. Int. J. Mech. Sci. 46(8), 1157–1171 (2004)
37. S. Lucarini, J. Segurado, On the accuracy of spectral solvers for micromechanics based fatigue
modeling. Comput. Mech. 63, 365–382 (2019)
38. K. Maciejewski, H. Ghonem, Isotropic and kinematic hardening as functions of gamma prime
precipitates in a nickel-based superalloy. Int. J. Fatigue 68, 123–135 (2014)
39. A. Manonukul, F.P.E. Dunne, High– and low–cycle fatigue crack initiation using polycrystal
plasticity. Proc. R. Soc. Lond. A Math. Phys. Eng. Sci. 460(2047), 1881–1903 (2004)