Ideal strength of random alloys from first principles

The all-electron exact muffin-tin orbitals method in combination with the coherent-potential approximation was employed to investigate the ideal tensile strengths of elemental V and Mo solids, and V- and Mo-based random solid solutions. Under uniaxial $[001]$ tensile loading, the ideal tensile strength of V is $11.6$ GPa and the lattice fails by shear. Assuming isotropic Poisson contraction, the ideal tensile strengths are $26.7$ and $37.6$ GPa for V in the $[111]$ and $[110]$ directions, respectively. The ideal strength of Mo is $26.7$ GPa in the $[001]$ direction and decreases when a few percent of Tc is introduced in Mo. 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 effects on the ideal strength are explained using the electronic band structure.