Predicting size effects in nickel-base single crystal superalloys with the Discrete-Continuous Model

European Journal of Computational Mechanics

Volumn 19, Issue 1-3, 2010, Pages 65-76

  Vattré, Aurélien ^a   Devincre, Benoit ^b   Roos, Arjen ^a   Feyel, Frédéric ^a  

^a ONERA   (France)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

Coupling dislocations dynamics finite elements; Single crystal superalloys; Size effects

Indexed keywords

DISLOCATIONS (CRYSTALS); NICKEL; NICKEL ALLOYS; SINGLE CRYSTALS; SIZE DETERMINATION; SUPERALLOYS;

CONTINUOUS MODELS; COUPLING DISLOCATION DYNAMIC-FINITE ELEMENT; DISCRETE/CONTINUOUS; DISLOCATION DYNAMICS; DYNAMIC FINITE ELEMENT; FINITE ELEMENTS SIMULATION; MODEL SIZE; NICKEL BASE SINGLE CRYSTAL SUPERALLOY; SINGLE CRYSTAL SUPERALLOYS; SIZES EFFECT;

FINITE ELEMENT METHOD;

EID: 81055154218     PISSN: 26422085     EISSN: 26422050     Source Type: Journal    
DOI: 10.3166/ejcm.19.65-76     Document Type: Conference Paper

References (26)

1. Acharya A., Bassani J. L., " Incompatibility and crystal plasticity", J. Mech. Phys. Sol., vol. 48, p. 1565-1595, 2000.
2. Busso E. P., Meissonnier F. T., O'Dowd N. P., " Gradient-dependent deformation of two-phase single crystals", J. Mech. Phys. Sol., vol. 48, p. 2333-2361, 2000.
3. Carry C., Strudel J. L., " Apparent and effective creep parameters in single crystals of a nickel base superalloy - I. Incubation period", Acta Met., vol. 25, p. 767-777, 1977.
4. Cleveringa H. H.M., Van Der Giessen E., " Discrete dislocation simulations and size dependent hardening in single slip", J. de Physique, vol. 8, p. 83-92, 1998.
5. Cleveringa H. H. M., Van Der Giessen E., Needleman A., " Comparison of discrete dislocation and continuum plasticity predictions for a composite material", Acta Mat., vol. 45, p. 3163-3179, 1997. (Pubitemid 127376166)
6. Devincre B., Roos A., Groh S., " Boundary problems in DD simulations. In: Thermodynamics, Microstructures and Plasticity, A. Finel et al., Nato Sciences Series II:Mathematics, Physics and Chemistry", vol. 108, p. 275, 2003.
7. Duhl D. N., " Directionally solidified superalloys.", in C. Sims, N. Stoloff, W. C. Hagel (eds), Superalloys II: High Temperature Materials for Aerospace and Industrial Power, J. Wiley & Sons, New York, p. 189-214, 1987.
8. Fivel M., Canova G. R., " Developing rigorous boundary conditions to discrete dislocation dynamics", Mod. Sim. Mat. Sc. Eng., vol. 7, p. 753-768, 1999.
9. Forest S., Barbe F., Cailletaud G., " Cosserat modelling of size effects in the mechanical behavior of plocrystal and multi-phase materials", Int. J. Sol. Struct., vol. 37, p. 7105-7126, 2000.
10. Groh S., Devincre B., Kubin L., Roos A., Feyel F., Chaboche J.-L., " Size effects in metal matrix composites", Materials Science and Engineering A, vol. 400-401, p. 279-282, 2005.
11. Gurtin M. E., " On the plasticity of single crystals: free energy, microforces, plastic-strain gradients", J. Mech. Phys. Sol., vol. 48, p. 898-1036, 2000.
12. Kocks U. E., " Laws for work-hardening and low-temperature creep", Journal of Engineering Materials and Technology, vol. 98, p. 16-85, 1976.
13. Lemarchand C., Devincre B., Kubin L. P., " Homogenization method for a discrete-continuum simulation of dislocation dynamics", J. Mech. Phys. Sol., vol. 49, p. 1969-1982, 2001.
14. Madec R., Devincre B., Kubin L. P., " On the use of periodic boundary conditions in dislocation dynamics simulations", in Y. Shibutani, H. Kitagawa (eds), IUTAM Symposium on Mesoscopic Dynamics in Fracture Process and Strength of Materials, vol. 115, Kluwer, Dordrecht, p. 35-44, 2003.
15. Mura T., Micromechanics of defects in solids, Kluwer Academic Publishers, 1987.
16. Nouailhas D., Lhuillier S., " On the micro-macro modelling of o/o' single crystal behavior", Comp. Mat. Sc., vol. 9, p. 177-187, 1997.
17. Nye J. F., " Some geometrical relations in dislocated crystals", Acta Met., vol. 1, p. 153-162, 1953.
18. Pollock T. M., Argon A. R., " Creep resistance of CMSX-3 nickel base superalloy single crystals", Acta Met., vol. 40, p. 1-30, 1992.
19. Sevillano G., " Low stress and work hardening. In: Cahn, R.W. Haasen, P. Kramer, E.Mughrabi (Eds), Materials Science and Technology", vol. 6, p. 19-88, 1993.
20. Shu J. Y., Fleck N. A., Van Der Giessen E., Needleman A., " Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity", J. Mech. Phys. Sol., vol. 49, p. 1361-1395, 2001.
21. Van der Giessen E., Needleman A., " Discrete Dislocation Plasticity - A Simple Planar Model", Mod. Sim. Mat. Sc. Eng., vol. 3, p. 689-735, 1995.
22. Vattré A., Devincre B., Roos A., " Dislocation Dynamics simulations of precipitation hardening in Ni-based superalloys with high o' volume fraction", Intermetallics, vol. 17, p. 988-994, 2009.
23. Vattré A., Devincre B., Roos A., " Orientation dependence of plastic deformation in nickel-base single crystal superalloys: a Discrete-Continuous Model simulation", Acta Mat., 2010.
24. Veyssière P., Saada G., " Microscopy and plasticity of the L12 o' phase, in 'Dislocations in Solids'", vol. 10, p. 253, 1997.
25. Westbrook J. H., Intermetallic Compounds, John Wiley, 1967.
26. Zbib H. M., De la Rubia T., " A Multiscale Model of Plasticity", Int. J. Plast., vol. 18, p. 1133-1163, 2002.