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Chin. Phys. B, 2009, Vol. 18(10): 4339-4348    DOI: 10.1088/1674-1056/18/10/041
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First-principles calculations for the elastic properties of Ni-base model superalloys: Ni/Ni3Al multilayers

Wang Yun-Jiang(王云江) and Wang Chong-Yu(王崇愚)
Department of Physics, Tsinghua University, Beijing 100084, China
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.
Keywords:  Ni-based superalloys      Ni/Ni3Al multilayer      mechanical property      first principles      rule of mixture  
Received:  28 March 2009      Revised:  03 April 2009      Accepted manuscript online: 
PACS:  62.20.D- (Elasticity)  
  61.66.Dk (Alloys )  
  68.35.Ct (Interface structure and roughness)  
  71.15.Mb (Density functional theory, local density approximation, gradient and other corrections)  
  81.40.Jj (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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