Structural and elastic properties of single-crystal and polycrystalline Ti1−xZrxN alloys: A computational study (original) (raw)

2012, Journal of Alloys and Compounds

First-principles pseudopotential calculations of the lattice constants and of the single-crystal elastic constants of Ti 1−x Zr x N (0 ≤ x ≤ 1) alloys were carried out. These calculations were performed using density functional perturbation theory (DFPT) within the virtual crystal approximation (VCA) for the disordered alloys and the supercell method (SC) for the ordered alloys. For the exchange-correlation potential we used both the local density (LDA) and the generalized gradient methods (GGA). The calculated equilibrium lattice parameters exhibit a positive deviation from Vegard's rule corresponding to a positive bowing parameter, while the calculated single-crystal stiffnesses, namely C 11 , C 12 and C 44 , gradually decrease from TiN to ZrN. In a second stage, in the frame of anisotropic elasticity, we have estimated by homogenization methods the averaged stiffnesses C ij , direction dependent Young's moduli and Poisson's ratios of polycrystalline Ti 1−x Zr x N (0 ≤ x ≤ 1) alloys considering a {1 1 1}-fiber texture.