162
A. Cruzado et al.
40. G. Martin, N. Ochoa, K. Sai, E. Herve-Luanco, G. Cailletaud, A multiscale model for
the elastoviscoplastic behavior of directionally solidified alloys: application to fe structural
computations. Int. J. Solids Struct. 51(5), 1175–1187 (2014)
41. D. McDowell, Viscoplasticity of heterogeneous metallic materials. Mater. Sci. Eng. R Rep.
62(3), 67–123 (2008)
42. L. Méric, P. Poubanne, G. Cailletaud, Single crystal modeling for structural calculations: part
1 model presentation. ASME J. Eng. Mater. Technol. 113, 162–170 (1991)
43. H. Moulinec, P. Suquet, A fast numerical method for computing the linear and nonlinear
mechanical properties of composites. Comptes Rendus de l’Académie des Sci. 318, 1417–
1423 (1994)
44. W.D. Musinski, D.L. McDowell, Microstructure-sensitive probabilistic modeling of {HCF}
crack initiation and early crack growth in ni-base superalloy {IN100} notched components.
Int. J. Fatigue 37, 41–53 (2012)
45. N. Ohno, J.-D. Wang, Kinematic hardening rules with critical state of dynamic recovery, part
ii: application to experiments of ratchetting behavior. Int. J. Plast. 9(3), 391–403 (1993)
46. S. Park, K. Kim, H. Kim, Ratcheting behaviour and mean stress considerations in uniaxial lowcycle fatigue of inconel 718 at 649 ◦ C. Fatigue Fract. Eng. Mater. Struct. 30(11), 1076–1083
(2007)
47. D.K. Patel, S.R. Kalidindi, Estimating the slip resistance from spherical nanoindentation and
orientation measurements in polycrystalline samples of cubic metals. Int. J. Plast. 92, 19–30
(2017)
48. N.J. Petch, The cleavage strength of polycrystals. J. Iron Steel Inst. 174, 25–28 (1953)
49. T.M. Pollock, Alloy design for aircraft engines. Nat. Mater. 15, 809–815 (2016)
50. N. Prasad, A. Paradkar, G. Malakondaiah, V. Kutumbarao, An analysis based on plastic strain
energy for bilinearity in coffin-manson plots in an Al-Li alloy. Scripta Metall. et Mater. 30(12),
1497–1502 (1994)
51. K. Praveen, V. Singh, Effect of heat treatment on coffin–manson relationship in {LCF} of
superalloy {IN718}. Mater. Sci. Eng. A 485(1–2), 352–358 (2008)
52. K. Praveen, G. Sastry, V. Singh, Room temperature LCF behaviour of superalloy in 718. Trans.
Indian Inst. Metals 57(6), 623–630 (2004)
53. C.P. Przybyla, W.D. Musinski, G.M. Castelluccio, D.L. McDowell, Microstructure-sensitive
{HCF} and {VHCF} simulations. Int. J. Fatigue 57, 9–27 (2013). Fatigue and microstructure:
a special issue on recent advances
54. D. Raabe, D. Ma, F. Roters, Effects of initial orientation, sample geometry and friction
on anisotropy and crystallographic orientation changes in single crystal microcompression
deformation: a crystal plasticity finite element study. Acta Mater. 55(13), 4567–4583 (2007)
55. J.F. Radavich, The physical metallurgy of cast and wrought alloy 718. in Superalloy 718 –
Metallurgy and Applications, The Minerals, Metals and Materials Society, pp. 229–240 (1989)
56. C. Rae, Alloys by design: modelling next generation superalloys. Mater. Sci. Technol. 25, 479–
487 (2009)
57. F. Roters, P. Eisenlohr, T.R. Bieler, D. Raabe, Crystal Plasticity Finite Element Methods: In
Materials Science and Engineering. Wiley-VCH, Weinheim, Germany (2010)
58. F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, D. Raabe, Overview of
constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity
finite-element modeling: theory, experiments, applications. Acta Mater. 58, 1152–1211 (2010)
59. A. Rovinelli, R.A. Lebensohn, M.D. Sangid, Influence of microstructure variability on short
crack behavior through postulated micromechanical short crack driving force metrics. Eng.
Fract. Mech. 138, 265–288 (2015)
60. R. Sánchez-Martín, M.T. Pérez-Prado, J. Segurado, J. Bohlen, I. Gutiérrez-Urrutia, J. Llorca,
J.M. Molina-Aldareguia, Measuring the critical resolved shear stresses in Mg alloys by
instrumented nanoindentation. Acta Mater. 71, 283–292 (2014)
61. T.H. Sanders, R. Frishmuth, G.T. Embley, Temperature dependent deformation mechanisms of
alloy 718 in low cycle fatigue. Metall. Mater. Trans. A 12(6), 1003–1010 (1981)
A. Cruzado et al.
40. G. Martin, N. Ochoa, K. Sai, E. Herve-Luanco, G. Cailletaud, A multiscale model for
the elastoviscoplastic behavior of directionally solidified alloys: application to fe structural
computations. Int. J. Solids Struct. 51(5), 1175–1187 (2014)
41. D. McDowell, Viscoplasticity of heterogeneous metallic materials. Mater. Sci. Eng. R Rep.
62(3), 67–123 (2008)
42. L. Méric, P. Poubanne, G. Cailletaud, Single crystal modeling for structural calculations: part
1 model presentation. ASME J. Eng. Mater. Technol. 113, 162–170 (1991)
43. H. Moulinec, P. Suquet, A fast numerical method for computing the linear and nonlinear
mechanical properties of composites. Comptes Rendus de l’Académie des Sci. 318, 1417–
1423 (1994)
44. W.D. Musinski, D.L. McDowell, Microstructure-sensitive probabilistic modeling of {HCF}
crack initiation and early crack growth in ni-base superalloy {IN100} notched components.
Int. J. Fatigue 37, 41–53 (2012)
45. N. Ohno, J.-D. Wang, Kinematic hardening rules with critical state of dynamic recovery, part
ii: application to experiments of ratchetting behavior. Int. J. Plast. 9(3), 391–403 (1993)
46. S. Park, K. Kim, H. Kim, Ratcheting behaviour and mean stress considerations in uniaxial lowcycle fatigue of inconel 718 at 649 ◦ C. Fatigue Fract. Eng. Mater. Struct. 30(11), 1076–1083
(2007)
47. D.K. Patel, S.R. Kalidindi, Estimating the slip resistance from spherical nanoindentation and
orientation measurements in polycrystalline samples of cubic metals. Int. J. Plast. 92, 19–30
(2017)
48. N.J. Petch, The cleavage strength of polycrystals. J. Iron Steel Inst. 174, 25–28 (1953)
49. T.M. Pollock, Alloy design for aircraft engines. Nat. Mater. 15, 809–815 (2016)
50. N. Prasad, A. Paradkar, G. Malakondaiah, V. Kutumbarao, An analysis based on plastic strain
energy for bilinearity in coffin-manson plots in an Al-Li alloy. Scripta Metall. et Mater. 30(12),
1497–1502 (1994)
51. K. Praveen, V. Singh, Effect of heat treatment on coffin–manson relationship in {LCF} of
superalloy {IN718}. Mater. Sci. Eng. A 485(1–2), 352–358 (2008)
52. K. Praveen, G. Sastry, V. Singh, Room temperature LCF behaviour of superalloy in 718. Trans.
Indian Inst. Metals 57(6), 623–630 (2004)
53. C.P. Przybyla, W.D. Musinski, G.M. Castelluccio, D.L. McDowell, Microstructure-sensitive
{HCF} and {VHCF} simulations. Int. J. Fatigue 57, 9–27 (2013). Fatigue and microstructure:
a special issue on recent advances
54. D. Raabe, D. Ma, F. Roters, Effects of initial orientation, sample geometry and friction
on anisotropy and crystallographic orientation changes in single crystal microcompression
deformation: a crystal plasticity finite element study. Acta Mater. 55(13), 4567–4583 (2007)
55. J.F. Radavich, The physical metallurgy of cast and wrought alloy 718. in Superalloy 718 –
Metallurgy and Applications, The Minerals, Metals and Materials Society, pp. 229–240 (1989)
56. C. Rae, Alloys by design: modelling next generation superalloys. Mater. Sci. Technol. 25, 479–
487 (2009)
57. F. Roters, P. Eisenlohr, T.R. Bieler, D. Raabe, Crystal Plasticity Finite Element Methods: In
Materials Science and Engineering. Wiley-VCH, Weinheim, Germany (2010)
58. F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, D. Raabe, Overview of
constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity
finite-element modeling: theory, experiments, applications. Acta Mater. 58, 1152–1211 (2010)
59. A. Rovinelli, R.A. Lebensohn, M.D. Sangid, Influence of microstructure variability on short
crack behavior through postulated micromechanical short crack driving force metrics. Eng.
Fract. Mech. 138, 265–288 (2015)
60. R. Sánchez-Martín, M.T. Pérez-Prado, J. Segurado, J. Bohlen, I. Gutiérrez-Urrutia, J. Llorca,
J.M. Molina-Aldareguia, Measuring the critical resolved shear stresses in Mg alloys by
instrumented nanoindentation. Acta Mater. 71, 283–292 (2014)
61. T.H. Sanders, R. Frishmuth, G.T. Embley, Temperature dependent deformation mechanisms of
alloy 718 in low cycle fatigue. Metall. Mater. Trans. A 12(6), 1003–1010 (1981)