Abstract A model system consisting of Ni[001](100)/Ni3Al[001](100) multi-layers are studied using the density functional theory in order to explore the elastic properties of single crystal Ni-based superalloys. Simulation results are consistent with the experimental observation that rafted Ni-base superalloys virtually possess a cubic symmetry. The convergence of the elastic properties with respect to the thickness of the multilayers are tested by a series of multilayers from 2$\gamma'$+2$\gamma$ to 10$\gamma'$+10$\gamma$ atomic layers. The elastic properties are found to vary little with the increase of the multilayer's thickness. A Ni/Ni3Al multilayer with 10$\gamma'$+10$\gamma$ atomic layers (3.54 nm) can be used to simulate the mechanical properties of Ni-base model superalloys. Our calculated elastic constants, bulk modulus, orientation-dependent shear modulus and Young's modulus, as well as the Zener anisotropy factor are all compatible with the measured results of Ni-base model superalloys R1 and the advanced commercial superalloys TMS-26, CMSX-4 at a low temperature. The mechanical properties as a function of the $\gamma'$ phase volume fraction are calculated by varying the proportion of the $\gamma$ and $\gamma'$ phase in the multilayers. Besides, the mechanical properties of two-phase Ni/Ni3Al multilayer can be well predicted by the Voigt-Reuss-Hill rule of mixtures.
Received: 28 March 2009
Revised: 03 April 2009
Accepted manuscript online:
(Elasticity and anelasticity, stress-strain relations)
Fund: Project
supported by the State Key Development Program for Basic Research of
China (Grant No 2006CB605102).
Cite this article:
Wang Yun-Jiang(王云江) and Wang Chong-Yu(王崇愚) First-principles calculations for the elastic properties of Ni-base model superalloys: Ni/Ni3Al multilayers 2009 Chin. Phys. B 18 4339
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