Cube slip and non-Schmid effects in single crystal Ni-base superalloys

Modelling and Simulation in Materials Science and Engineering

Volumn 18, Issue 1, 2010, Pages

  Tinga, T ^a   Brekelmans, W A M ^b   Geers, M G D ^b  

^a NETHERLANDS DEFENCE ACADEMY   (Netherlands)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMMERCIAL ALLOYS; CONSTITUTIVE RELATIONS; CREEP BEHAVIOUR; CROSS SLIPS; CRYSTAL PLASTICITY; CUBE SLIP; DEFORMATION BEHAVIOUR; DEFORMATION MECHANISM; INELASTIC DEFORMATION; MATERIAL ORIENTATION; MATERIAL RESPONSE; MATRIX; MATRIX PHASE; MODEL PARAMETERS; NI-BASE SUPERALLOYS; ORIENTATION DEPENDENCE; PARTIAL DISLOCATIONS; TENSILE RESPONSE; TENSION-COMPRESSION ASYMMETRY; TWO-PHASE MATERIALS; YIELD BEHAVIOUR; ZIG-ZAG;

CONSTITUTIVE MODELS; CREEP; DISLOCATIONS (CRYSTALS); GEOMETRY; MATERIALS; SINGLE CRYSTALS; STRAIN RATE;

SUPERALLOYS;

EID: 75649124868     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/18/1/015005     Document Type: Article

References (60)

1. Ghosh R N, Curtis R V and McLean M 1990 Creep deformation of single crystal superalloys-modelling the crystallographic anisotropy Acta Metall. Mater. 38 1977-92
2. Hanriot F, Cailletaud G and Remy L 1991 Mechanical behaviour of a nickel-base superalloy single crystal High Temperature Constitutive Modeling-Theory and Application ed A D Freed and K P Walker (New York: ASME) pp 139-50
3. Jordan E H, Shi S and Walker K P 1993 The viscoplastic behavior of Hastelloy-X single crystal Int. J. Plast. 9 119-39
4. Yue Z F, Lu Z Z and Zheng C Q 1996 Evaluation of creep damage behavior of nickel-base directionally solidified superalloys with different crystallographic orientations Theor. Appl. Fract. Mech. 25 127-38
5. Pan L-M, Shollock B A and McLean M 1997 Modelling of high-temperature mechanical behaviour of a single crystal superalloy Proc. R. Soc. Lond. A 453 1689-715
6. Yue Z and Lu Z 1998 Self-consistent constitutive modeling of the creep behaviour of nickel-base directionally solidified superalloys with different grain orientations J. Mater. Sci. Technol. 14 15-9
7. Busso E P, O'Dowd N P and Dennis R J 2000 A rate dependent formulation for void growth in single crystal materials Proc. 5th IUTAM Symp. on Creep in Structures (Nagoya) ed S Murakami and N Ohno (Japan: Kluwer Academic)
8. Rist M A, Oddy A S and Reed R C 2000 Three-dimensional simulation of inhomogeneous tertiary creep in single-crystal superalloy test pieces Scr. Mater. 43 719-25
9. MacLachlan D W, Gunturi G S K and Knowles D M 2002 Modelling the uniaxial creep anisotropy of nickel base single crystal superalloys CMSX-4 Comput. Mater. Sci. 25 129-41
10. Daniel R, Tinga T and Henderson M B 2002 Deformation modelling of the single crystal superalloy CM186LC Proc. Materials for Advanced Power Engineering (Jülich) ed J Lecomte-Beckers et al (Jülich, Germany: Forschungszentrum Jülich)
11. Cailletaud G, Chaboche J L, Forest S and Remy L 2003 On the design of single crystal turbine blades Rev. Metall. 100 165-72
12. Shenoy M M, Gordon A P, McDowell D L and Neu R W 2005 Thermomechanical fatigue behavior of a directionally solidified Ni-base superalloy J. Eng. Mater. Technol. 127 325-36
13. Fedelich B 1999 A microstructure based constitutive model for the mechanical behavior at high temperatures of nickel-base single crystal superalloys Comput. Mater. Sci. 16 248-58
14. Fedelich B 2002 A microstructural model for the monotonic and the cyclic mechanical behavior of single crystals of superalloys at high temperatures Int. J. Plast. 18 1-49
15. Busso E P and McClintock F A 1996 A dislocation mechanics-based crystallographic model of a B2-type intermetallic alloy Int. J. Plast. 12 1-28
16. Svoboda J and Lukas P 1997 Modelling of recovery controlled creep in nickel-base superalloy single crystals Acta Mater. 45 125-35 (Pubitemid 127413963)
17. Kuttner T and Wahi R P 1998 Modelling of internal stress distribution and deformation behaviour in the precipitation hardened superalloy SC16 Mater. Sci. Eng. A 242 259-67
18. Busso E P, Meissonnier F T and O'Dowd N P 2000 Gradient-dependent visco-plastic deformation of two-phase single crystals J. Mech. Phys. Solids. 48 2333-61
19. Svoboda J and Lukas P 2000 Creep deformation modelling of superalloy single crystals Acta Mater. 48 2519-28
20. Meissonnier F T, Busso E P and O'Dowd N P 2001 Finite element implementation of a generalised non-local rate-dependent crystallographic formulation for finite strains Int. J. Plast. 17 601-40
21. Choi Y S, Parthasarathy T A and Dimiduk D M 2005 Numerical study of the flow responses and the geometric constraint effects in Ni-base two-phase single crystals using strain gradient plasticity Mater. Sci. Eng. A 397 69-83
22. Tinga T, Brekelmans W A M and Geers M G D 2008 Incorporating strain-gradient effects in a multi-scale constitutive framework for nickel-based superalloys Phil. Mag. 88 3793-825
23. Méric L, Poubanne P and Cailletaud G 1991 Single crystal modeling for structural calculations: I. Model presentation J. Eng. Mater. Technol. 113 162-70
24. Sass V and Feller-Kniepmeier M 1998 Orientation dependence of dislocation structures and deformation mechanisms in creep deformed CMSX-4 single crystals Mater. Sci. Eng. A 245 19-28
25. Bettge D and österle W 1999 'Cube slip' in near-[1 1 1] oriented specimens of a single-crystal nickel-base superalloy Scr. Mater. 40 389-95
26. sterle W, Bettge D, Fedelich B and Klingelhoffer H 2000 Modelling of the orientation and direction dependence of the critical resolved shear stress of nickel-base superalloy single crystals Acta Mater. 48 689-700
27. Pollock T M and Argon A S 1994 Directional coarsening in nickel-base single crystals with high volume fractions of coherent precipitates Acta Metall. Mater. 42 1859-74
28. Gunturi S S K, MacLachlan D W and Knowles D M 2000 Anisotropic creep in CMSX-4 in orientations distant from 〈0 0 1〉 Mater. Sci. Eng. A 289 289-98
29. Miura N, Kondo Y and Ohi N 2000 The influence of dislocation substructure on creep rate during accelerating creep stage of single crystal nickel-based superalloy CMSX-4 Proc. Superalloys 2000 (Warrendale) ed T M Pollock et al (Warrendale, PA: The Minerals, Metals and Materials Society)
30. Link T, Epishin A, Brückner U and Portella P 2000 Increase of misfit during creep of superalloys and its correlation with deformation Acta Mater. 48 1981-94
31. Srinivasan R, Eggeler G and Mills M J 2000 γ ′-cutting as rate-controlling recovery process during high-temperature and low-stress creep of superalloy single crystals Acta Mater. 48 4867-78
32. Rae C M F, Matan N and Reed R C 2001 The role of stacking fault shear in the primary creep of [0 0 1]-oriented single crystal superalloys at 750 °C and 750 MPa Mater. Sci. Eng. A 300 125-34
33. MacLachlan D W, Wright L W, Gunturi G S K and Knowles D M 2001 Constitutive modelling of anisotropic creep deformation in single crystal blade alloys SRR99 and CMSX-4 Int. J. Plast. 17 441-67
34. Chen Q Z and Knowles D M 2003 Mechanism of 〈1 1 2〉/3 slip initiation and anisotropy of γ ′ phase in CMSX-4 during creep at 750 °C and 750 MPa Mater. Sci. Eng. A 356 352-67
35. 3(Al,Nb) single crystals Metall. Trans. A 10 1323-32
36. Qin Q and Bassani J L 1992 Non-Schmid yield behavior in single crystals J. Mech. Phys. Solids 40 813-33
37. 2 Ordered Alloys ed F R N Nabarro and M S Duesbery (Amsterdam: Elsevier)
38. 2 intermetallic single crystals: I. Anomalous temperature dependence of the flow behaviour Phil. Mag. 87 1939-65
39. Allan C D 1995 Plasticity of nickel base single crystal superalloys PhD Thesis Massachusetts Institute of Technology
40. Evers L P, Brekelmans W A M and Geers M G D 2004 Non-local crystal plasticity model with intrinsic SSD and GND effects J. Mech. Phys. Solids 52 2379-401
41. Ashby M F 1970 The deformation of plastically non-homogeneous materials Phil. Mag. 21 399-424
42. Kubin L P, Canova G, Condat M, Devincre B, Pontikis V and Brechet Y 1992 Dislocation microstructures and plastic flow: a 3D simulation Solid State Phenom. 23-24 455-72
43. Lecomte-Beckers J, Carton M, Schubert F and Ennis P J 2002 Materials for Advanced Power Engineering (Jülich, Germany: Forschungszentrum Jülich)
44. Yuan C, Guo J T and Yang H C 1998 Deformation mechanism for high temperature creep of a directionally solidified nickel-base superalloy Scr. Mater. 39 991-7 (Pubitemid 128421421)
45. Bayley C J, Brekelmans W A M and Geers M G D 2006 A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity Int. J. Solid Struct. 43 7268-86
46. Geers M G D, Brekelmans W A M and Bayley C J 2007 Second-order crystal plasticity: internal stress effects and cyclic loading Modelling Simul. Mater. Sci. Eng. 15 S133-45
47. 2ordered alloys ed F R N Nabarro and M S Duesbery (Amsterdam: Elsevier)
48. Brown L M and Ham R K 1971 Strengthening Methods in Crystals ed A Kelly and R B Nicholson (Amsterdam: Elsevier)
49. Porter D A and Easterling K E 1992 Phase Transformations in Metals and Alloys (London: Chapman and Hall)
50. Picu R C and Zhang D 2004 Atomistic study of pipe diffusion in AlMg alloys Acta Mater. 52 161-71
51. Reed R C, Matan N, Cox D C, Rist M A and Rae C M F 1999 Creep of CMSX-4 superalloy single crystals: effects of rafting at high temperature Acta Mater. 47 3367-81
52. Schubert F, Fleury G and Steinhaus T 2000 Modelling of the mechanical behaviour of the single-crystal turbine alloy CMSX-4 during thermomechanical loading Modelling Simul. Mater. Sci. Eng. 8 947-57
53. Knowles D M and Gunturi S S K 2002 The role of 〈1 1 2〉{1 1 1} slip in the asymmetric nature of creep of single crystal superalloy CMSX-4 Mater. Sci. Eng. A 328 223-37
54. Rae C M F and Reed R C 2007 Primary creep in single crystal superalloys: origins, mechanisms and effects Acta Mater. 55 1067-81
55. Ma A, Dye D and Reed R C 2008 A model for the creep deformation behaviour of single-crystal superalloy CMSX-4 Acta Mater. 56 1657-70
56. Prasad S C, Rao I J and Rajagopal K R 2005 A continuum model for the creep of single crystal nickel-base superalloys Acta Mater. 53 669-79
57. Pollock T M and Argon A S 1992 Creep resistance of CMSX-3 nickel base superalloy single crystals Acta Metall. Mater. 40 1-30
58. Tinga T, Brekelmans W A M and Geers M G D 2009 Time-incremental creep-fatigue damage rule for single crystal Ni-base superalloys Mater. Sci. Eng. A 508 200-8
59. 3(Al,Nb) single crystals Acta Mater. 30 921-6
60. Choi Y S, Parthasarathy T A, Dimiduk D M and Uchic M D 2006 Microstructural effects in modeling the flow behavior of single-crystal superalloys Metall. Mater. Trans. A 37 545-50