Ideal strength of random alloys from first-principles theory
Xiaoqing Li, Stephan Sch\"onecker, Jijun Zhao, B\"orje Johansson, and, Levente Vitos

TL;DR
This study uses first-principles calculations to determine the ideal tensile strengths of elemental V, Mo, and their alloys, revealing how alloying elements influence strength through electronic structure analysis.
Contribution
It introduces a first-principles approach combining the muffin-tin orbitals method and coherent-potential approximation to evaluate ideal strengths of random alloys.
Findings
V and Mo have direction-dependent ideal strengths consistent with theory.
Adding Tc decreases Mo's strength in the [001] direction.
Cr increases and Ti decreases the strength of V-based alloys.
Abstract
The all-electron exact muffin-tin orbitals method in combination with the coherent-potential appproximation has been employed to investigate the ideal tensile strengths of elemental V, Mo solids and V- and Mo-based random solid solutions. The present ideal tensile strengths, calculated assuming isotropic Poisson contraction, are 16.1, 26.7 and 37.6 GPa for bcc V in the [001], [111] and [110] directions, respectively, and 26.7 GPa for bcc Mo in the [001] direction, which are all in good agreement with the available theoretical data. When a few percent Tc is introduced in Mo, it is found that the ideal strength decreases in the [001] direction. For the V-based alloys, Cr increases and Ti decreases the ideal tensile strength in all principal directions. Adding the same concentration of Cr and Ti to V leads to ternary alloys with similar ideal strength values as that of pure V. The alloying…
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