Discrete dislocation dynamics modelling of mechanical deformation of nickel-based single crystal superalloys

International Journal of Plasticity

Volumn 28, Issue 1, 2012, Pages 141-158

  Huang, Minsheng ^a   Zhao, Liguo ^a   Tong, Jie ^a  

^a UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

Cyclic response; Discrete dislocation dynamics; Precipitate morphology; Precipitate shearing; Size effect

Indexed keywords

APPLIED STRAIN; CHANNEL WIDTHS; COHERENCY STRESS; CONSTRAINT EFFECTS; CROSS SLIPS; CYCLIC DEFORMATIONS; CYCLIC HARDENING; CYCLIC RESPONSE; DENSITY EVOLUTION; DISCRETE DISLOCATION DYNAMICS; DISLOCATION MOBILITY; DISLOCATION STRUCTURES; FORCE MODEL; HARDENING MECHANISM; HIGH TEMPERATURE; HIGH VOLUME FRACTION; INITIAL DENSITY; INTERNAL MICROSTRUCTURE; INTERNAL STRESS FIELDS; MATRIX; MATRIX PHASE; MECHANICAL DEFORMATION; PERIODIC BOUNDARY CONDITIONS; PRECIPITATE MORPHOLOGY; PRECIPITATE SIZE; SINGLE CRYSTAL NI-BASED SUPERALLOYS; SINGLE CRYSTAL SUPERALLOYS; SIZE EFFECTS; SLIP SYSTEM; STRESS-STRAIN RESPONSE; SUPERDISLOCATIONS;

CRYSTAL MICROSTRUCTURE; DEFORMATION; DISLOCATIONS (CRYSTALS); DYNAMICS; MORPHOLOGY; PRECIPITATES; SHEARING; STRAIN HARDENING; STRESSES; SUPERALLOYS;

SINGLE CRYSTALS;

EID: 84860397204     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.07.003     Document Type: Article

References (55)

1. S. Akarapu, H.M. Zbib, and D.F. Bahr Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression International Journal of Plasticity 26 2010 239 257
2. A. Arsenlis, and D.M. Parks Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density Acta Meterialia 47 1999 1597 1611
3. A. Arsenlis, W. Cai, M. Tang, M. Rhee, T. Oppelstrup, G. Hommes, T.G. Pierce, and V.V. Bulatov Enabling strain hardening simulations with dislocation dynamics Modelling and Simulation in Materials Science and Engineering 15 2007 553 595
4. V. Brien, L.P. Kubin, and B. Decamps Low-cycle fatigue of a nickel-based superalloy at high temperature: simplified micromechanical modelling Philosophical Magazine A 81 2001 2285 2301
5. E.P. Busso, F.T. Meissonnier, and N.P. O'Dowd Gradient-dependent deformation of two-phase single crystals Journal of the Mechanics and Physics of Solids 48 2000 2333 2361
6. Y.S. Choi, T.A. Parthasarathy, D.M. Dimiduk, and M.D. Uchic Numerical study of the flow responses and the geometric constraint effects in Ni-base two-phase single crystals using strain gradient plasticity Materials Science and Engineering A 397 2005 69 83 (Pubitemid 40564148)
7. R. de Wit Some relations for straight dislocations Physica Status Solidi 20 1967 567 573
8. 3Al Intermetallics 15 2007 1322 1331 (Pubitemid 47042420)
9. C. Déprés, C.F. Robertson, and M.C. Fivel Low-strain fatigue in aisi 316l steel surface grains: a three-dimensional discrete dislocation dynamics modelling of the early cycles. i. Dislocation microstructures and mechanical behaviour Philosophical Magazine 84 2004 2257 2275
10. C. Déprés, C.F. Robertson, and M.C. Fivel Low-strain fatigue in 316L steel surface grains: a three dimension discrete dislocation dynamics modelling of the early cycles. Part 2: Persistent slip markings and micro-crack nucleation Philosophical Magazine 86 2006 79 97 (Pubitemid 43065470)
11. B. Devincre, P. Veyssire, L.P. Kubin, and G. Saada A simulation of dislocation dynamics and of the flow stress anomaly in L12 alloys Philosophical Magazine A 75 1997 1263 1286
12. 3Al: work hardening and strain-rate sensitivity Philosophical Magazine A 79 1999 1609 1627 (Pubitemid 129488651)
13. B. Devincre, L.P. Kubin, C. Lemarchand, and R. Madec Mesoscopic simulations of plastic deformation Materials Science and Engineering A 309-310 2001 211 219 (Pubitemid 32548317)
14. B. Devincre, L. Kubin, and T. Hoc Collinear superjogs and the low-stress response of fcc crystals Scripta Materialia 57 2007 905 908 (Pubitemid 47321894)
15. B. Fedelich A microstructure based constitutive model for the mechanical behavior at high temperatures of nickel-base single crystal superalloys Computational Materials Science 16 1999 248 258 (Pubitemid 129608202)
16. B. Fedelich A microstructural model for the monotonic and the cyclic mechanical behavior of single crystals of superalloys at high temperatures International Journal of Plasticity 18 2002 1 49 (Pubitemid 33149400)
17. Y. Gao, Z. Zhuang, Z.L. Liu, X.C. You, X.C. Zhao, and Z.H. Zhang Investigations of pipe-diffusion-based dislocation climb by discrete dislocation dynamics International Journal of Plasticity 2010 10.1016/j.ijplas.2010.11.003
18. N.M. Ghoniem, S.H. Tong, and L.Z. Sun Parametric dislocation dynamics: a thermodynamics-based approach to investigations of mesoscopic plastic deformation Physical Review B 61 2000 913
19. N.M. Ghoniem, J. Huang, and Z. Wang Affine covariant-contravariant vector forms for the elastic field of parametric dislocations in isotropic crystals Philosophical Magazine Letters 82 2002 55 63 (Pubitemid 34593706)
20. S. Groh, B. Devincre, L.P. Kubin, A. Roos, F. Feyel, and J.-L. Chaboche Size effects in metal matrix composites Materials Science and Engineering A 2005 279 282 (Pubitemid 40935906)
21. 3Au alloys Transactions of the Metallurgical Society of the AIME 224 1962 382 386
22. Kubin, L.P., Devincre, B., 1999. From dislocation mechanisms to dislocation microstructures and strain hardening. Deformation-induced microstructures: analysis and relation to properties. In: Bilde-Sorensen, J.B. et al. (Eds.), Proceedings of the 20th International Symposium on Materials Science, Roskilde, Denmark, pp. 61-83.
23. L.P. Kubin, G. Canova, M. Condat, B. Devincre, V. Pontikis, and Y. Brechet Dislocation microstructures and plastic flow: a 3D simulation Solid State Phenomena 23-24 1992 455
24. Z.L. Liu, X.M. Liu, Z. Zhuang, and X.C. You A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales International Journal of Plasticity 25 2009 1436 1455
25. R. Madec, and L. Kubin Second-order junctions and strain hardening in bcc and fcc crystals Scripta Materialia 58 2008 767 770
26. R. Madec, B. Devincre, and L.P. Kubin On the nature of attractive dislocation crossed states Computational Materials Science 23 2002 219 224 (Pubitemid 34404748)
27. R. Madec, B. Devincre, L. Kubin, T. Hoc, and D. Rodney The role of collinear interaction in dislocation-induced hardening Science 301 2003 1879 1882 (Pubitemid 37221387)
28. R. Madec, B. Devincre, and L.P. Kubin Y. Shibutani, H. Kitagawa, Mesoscopic Dynamics in Fracture Process and Strength of Materials 2003 Kluwer Dordrecht 115 135
29. P.E. McHugh, and R. Mohrmann Modelling of creep in a Ni base superalloy using a single crystal plasticity model Computational Materials Science 9 1-2 1997 134 140 (Pubitemid 127451314)
30. F.T. Meissonnier, E.P. Busso, and N.P. O'Dowd Finite element implementation of a generalised non-local rate-dependent crystallographic formulation for finite strains International Journal of Plasticity 17 2001 601 640 (Pubitemid 32272885)
31. C. Motz, D. Weygand, J. Senger, and P. Gumbsch Micro-bending tests: a comparison between three-dimensional discrete dislocation dynamics simulations and experiments Acta Materialia 56 2008 1942 1955
32. T. Ohashi, K. Hidaga, and M. Saito Quantitative study of the plastic slip deformation and formation of internal stresses in Ni-base superalloys Materials Science and Engineering A A238 1997 42 49 (Pubitemid 127406099)
33. T.M. Pollock, and A.S. Argon Creep resistance of CMSX-3 nickel base superalloy single crystals Acta Metallurgica et Materialia 40 1992 1 30
34. S. Queyreau, G. Monnet, and B. Devincre Slip systems interactions in a-iron determined by dislocation dynamics simulations International Journal of Plasticity 25 2009 361 377
35. S.I. Rao, T.A. Parthasarathy, D.M. Dimiduk, and P.M. Hazzledine Discrete dislocation simulations of precipitation hardening in superalloys Philosophical Magazine 84 2004 3195 3215
36. M. Rhee, H.M. Zbib, J.P. Hirth, H. Huang, and T.D. de La Rubia Models for long/short range interactions in 3D dislocation simulation Modelling and Simulation in Materials Science and Engineering 6 1998 467 492
37. M.M. Shenoy, A.P. Gordon, D.L. McDowell, and R.W. Neu Thermomechanical fatigue behavior of a directionally solidified Ni-base superalloy Transactions of the ASME, Journal of Engineering Materials and Technology 127 2005 325 337
38. C.S. Shin, C.F. Robertson, and M.C. Fivel Fatigue in precipitation hardened materials: a three-dimensional discrete dislocation dynamics modelling of the early cycles Philosophical Magazine 87 2007 3657 3669 (Pubitemid 47147914)
39. 3Al alloys doped with palladium Intermetallics 7 1999 1329 1335 (Pubitemid 30499035)
40. S. Tian, H. Zhou, J. Zhang, H. Yang, Y. Xu, and Z. Hu Formation and role of dislocation networks during high temperature creep of a single crystal nickel-base superalloy Original Research Article Materials Science and Engineering A 279 2000 160 165
41. T. Tinga, W.A.M. Brekelmans, and M.G.D. Geers Cube slip and non-Schmid effects in single crystal Ni-base superalloys Modelling and Simulation in Materials Science and Engineering 015005 18 2010
42. E. Van der Giessen, and A. Needleman Discrete dislocation plasticity: a simple planar model Modelling and Simulation in Materials Science and Engineering 3 1995 698 735
43. Vattré, A., 2009. Strength of single crystal superalloys: from dislocation mechanisms to continuum micromechanics. PhD Thesis, ONERA The French Aerospace Lab, p. 155.
44. A. Vattré, B. Devincre, and A. Roos Dislocation dynamics simulations of precipitation hardening in Ni-based superalloys with high γ′ volume fraction Intermetallics 17 2009 988 994
45. A. Vattré, B. Devincre, and A. Roos Orientation dependence of plastic deformation in nickel-based single crystal superalloys: discrete-continuous model simulations Acta Materialia 58 2010 1938 1951
46. P. Veyssiere, and G. Saada Microscopy and plasticity of the L12 γ′ phase Dislocations in Solids 10 1997 253
47. Z.Q. Wang, and I.J. Beyerlein An atomistically-informed dislocation dynamics model for the plastic anisotropy and tension-compression asymmetry of BCC metals International Journal of Plasticity 2010 10.1016/j.ijplas.2010.08.011
48. Z.Q. Wang, N.M. Ghoniem, S. Swaminarayan, and R. LeSar A parallel algorithm for 3D dislocation dynamics Journal of Computational Physics 219 2006 608 621 (Pubitemid 44688740)
49. Z.Q. Wang, I.J. Beyerlein, and R. LeSar The importance of cross-slip in high-rate deformation Modelling and Simulation in Materials Science and Engineering 15 2007 675 690
50. Z.Q. Wang, I.J. Beyerlein, and R. LeSar Slip band formation and mobile dislocation density evolution in high-rate deformation of single fcc crystals Philosophical Magazine 88 2008 1321 1343
51. L.N. Wang, Y. Liu, J.J. Yu, Y. Xu, X.F. Sun, H.R. Guan, and Z.Q. Hu Orientation and temperature dependence of yielding and deformation behavior of a nickel-base single crystal superalloy Materials Science and Engineering A 505 2009 144 150
52. Z.Q. Wang, I.J. Beyerlein, and R. LeSar Plastic anisotropy in fcc single crystals in high rate deformation International Journal of Plasticity 25 2009 26 48
53. K. Yashiro, F. Kurose, Y. Nakashima, K. Kubo, Y. Tomita, and H.M. Zbib Discrete dislocation dynamics simulation of cutting of γ′ precipitate and interfacial dislocation network in Ni-based superalloys International Journal of Plasticity 22 2006 713 723 (Pubitemid 41759805)
54. H.M. Zbib, and T. Diaz de la Rubia A multiscale model of plasticity International Journal of Plasticity 18 2002 1133 1163 (Pubitemid 34660595)
55. H.M. Zbib, M. Rhee, and J.P. Hirth On plastic deformation and the dynamics of 3D dislocations International Journal of Mechanical Sciences 40 1998 113 127 (Pubitemid 128391352)