88
S. Ghosh et al.
Acknowledgements This work has been supported through a grant No. FA9550-12-1-0445
to the Center of Excellence on Integrated Materials Modeling (CEIMM) at Johns Hopkins
University awarded by the AFOSR/RSL Computational Mathematics Program (Manager Dr. A.
Sayir) and AFRL/RX (Monitors Drs. C. Woodward and C. Przybyla). These sponsorships are
gratefully acknowledged. Computing support by the Homewood High Performance Compute
Cluster (HHPC) and Maryland Advanced Research Computing Center (MARCC) is gratefully
acknowledged.
References
1. M. McLean, R.W. Cahn, Nickel-Base Superalloys: Current Status and Potential (Chapman and
Hall, London, 1996)
2. D. Furrer, H. Fecht, Ni-based superalloys for turbine discs. J. Miner. Met. Mater. Soc. 51,
14–17 (1999)
3. T.M. Pollock, S. Tin, Nickel-based superalloys for advanced turbine engines: chemistry,
microstructure and properties. J. Prop. Power 22(2), 361–374 (2006)
4. A. Epishin, T. Link, U. Bruckner, P.D. Portella, Kinetics of the topological inversion of the
γ /γ -microstructure during creep of a nickel-based superalloy. Acta Mater. 49, 4017–4023
(2001)
5. M. Ignat, J.Y. Buffiere, J.M. Chaix, Microstructures induced by a stress gradient in a nickelbased superalloy. Acta Mater. 41, 855–862 (1993)
6. G.B. Viswanathan, P.M. Sarosi, D.H. Whitis, M.J. Mills, Deformation mechanisms at intermediate creep temperatures in the Ni-base superalloy Rene 88 DT. Mater. Sci. Eng. A 400,
489–495 (2005)
7. J.S. Van Sluytman, T.M. Pollock, Optimal precipitate shapes in nickel-base γ − γ alloys. Acta
Mater. 60, 1771–1783 (2012)
8. L. Kovarik, R.R. Unocic, J. Li, P. Sarosi, C. Shen, Y. Wang, M.J. Mills, Microtwinning and
other shearing mechanisms at intermediate temperatures in Ni-based superalloys. Progr. Mater.
Sci. 54, 839–873 (2009)
9. R.R. Unocic, N. Zhou, L. Kovarik, C. Shen, Y. Wang, M.J. Mills, Dislocation decorrelation and
relationship to deformation microtwins during creep of a γ precipitate strengthened Ni-based
superalloy. Acta Mater. 54, 7325–7339 (2011)
10. J. Cormier, X. Milhet, J. Mendez, Non-isothermal creep at very high temperature of the nickelbased single crystal superalloy. Acta Mater. 55, 6250–6259 (2007)
11. H.U. Hong, I.S. Kim, B.G. Choi, M.Y. Kim, C.Y. Jo, The effect of grain boundary serration on
creep resistance in a wrought nickel-based superalloy. Mat. Sci. Eng. A 517, 125–131 (2009)
12. Y.S. Choi, T.A. Parthasarathy, D.M. Dimiduk, M.D. Uchic, Microstructural effects in modeling
the flow behavior of single-crystal superalloys. Met. Mat. Trans. A 37(3), 545–550 (2006)
13. C. Allan, Plasticity of Nickel Base Single Crystal Superalloys. Ph.D. thesis, Massachusetts
Institute of Technology (1995)
14. A. Ma, F. Roters, A constitutive model for FCC single crystals based on dislocation densities
and its application to uniaxial compression of aluminium single crystals. Acta Mater. 52(12),
3603–3612 (2004)
15. A.M. Cuitino, M. Ortiz, Constitutive modeling of L1 2 intermetallic crystals. Mater. Sci. Eng.
A 170(1), 111–123 (1993)
16. T. Tinga, W.A.M. Brekelmans, M.G.D. Geers, Cube slip and non-Schmid effects in single
crystal Ni-base superalloys. Model. Simul. Mater. Sci. Eng. 18(1), 015005 (2010)
17. E.P. Busso, K.S. Cheong, Length scale effects on the macroscopic behaviour of single and
polycrystalline FCC crystals. Le J. Phys. IV 11(PR5), 161–170 (2001)
S. Ghosh et al.
Acknowledgements This work has been supported through a grant No. FA9550-12-1-0445
to the Center of Excellence on Integrated Materials Modeling (CEIMM) at Johns Hopkins
University awarded by the AFOSR/RSL Computational Mathematics Program (Manager Dr. A.
Sayir) and AFRL/RX (Monitors Drs. C. Woodward and C. Przybyla). These sponsorships are
gratefully acknowledged. Computing support by the Homewood High Performance Compute
Cluster (HHPC) and Maryland Advanced Research Computing Center (MARCC) is gratefully
acknowledged.
References
1. M. McLean, R.W. Cahn, Nickel-Base Superalloys: Current Status and Potential (Chapman and
Hall, London, 1996)
2. D. Furrer, H. Fecht, Ni-based superalloys for turbine discs. J. Miner. Met. Mater. Soc. 51,
14–17 (1999)
3. T.M. Pollock, S. Tin, Nickel-based superalloys for advanced turbine engines: chemistry,
microstructure and properties. J. Prop. Power 22(2), 361–374 (2006)
4. A. Epishin, T. Link, U. Bruckner, P.D. Portella, Kinetics of the topological inversion of the
γ /γ -microstructure during creep of a nickel-based superalloy. Acta Mater. 49, 4017–4023
(2001)
5. M. Ignat, J.Y. Buffiere, J.M. Chaix, Microstructures induced by a stress gradient in a nickelbased superalloy. Acta Mater. 41, 855–862 (1993)
6. G.B. Viswanathan, P.M. Sarosi, D.H. Whitis, M.J. Mills, Deformation mechanisms at intermediate creep temperatures in the Ni-base superalloy Rene 88 DT. Mater. Sci. Eng. A 400,
489–495 (2005)
7. J.S. Van Sluytman, T.M. Pollock, Optimal precipitate shapes in nickel-base γ − γ alloys. Acta
Mater. 60, 1771–1783 (2012)
8. L. Kovarik, R.R. Unocic, J. Li, P. Sarosi, C. Shen, Y. Wang, M.J. Mills, Microtwinning and
other shearing mechanisms at intermediate temperatures in Ni-based superalloys. Progr. Mater.
Sci. 54, 839–873 (2009)
9. R.R. Unocic, N. Zhou, L. Kovarik, C. Shen, Y. Wang, M.J. Mills, Dislocation decorrelation and
relationship to deformation microtwins during creep of a γ precipitate strengthened Ni-based
superalloy. Acta Mater. 54, 7325–7339 (2011)
10. J. Cormier, X. Milhet, J. Mendez, Non-isothermal creep at very high temperature of the nickelbased single crystal superalloy. Acta Mater. 55, 6250–6259 (2007)
11. H.U. Hong, I.S. Kim, B.G. Choi, M.Y. Kim, C.Y. Jo, The effect of grain boundary serration on
creep resistance in a wrought nickel-based superalloy. Mat. Sci. Eng. A 517, 125–131 (2009)
12. Y.S. Choi, T.A. Parthasarathy, D.M. Dimiduk, M.D. Uchic, Microstructural effects in modeling
the flow behavior of single-crystal superalloys. Met. Mat. Trans. A 37(3), 545–550 (2006)
13. C. Allan, Plasticity of Nickel Base Single Crystal Superalloys. Ph.D. thesis, Massachusetts
Institute of Technology (1995)
14. A. Ma, F. Roters, A constitutive model for FCC single crystals based on dislocation densities
and its application to uniaxial compression of aluminium single crystals. Acta Mater. 52(12),
3603–3612 (2004)
15. A.M. Cuitino, M. Ortiz, Constitutive modeling of L1 2 intermetallic crystals. Mater. Sci. Eng.
A 170(1), 111–123 (1993)
16. T. Tinga, W.A.M. Brekelmans, M.G.D. Geers, Cube slip and non-Schmid effects in single
crystal Ni-base superalloys. Model. Simul. Mater. Sci. Eng. 18(1), 015005 (2010)
17. E.P. Busso, K.S. Cheong, Length scale effects on the macroscopic behaviour of single and
polycrystalline FCC crystals. Le J. Phys. IV 11(PR5), 161–170 (2001)