A first-principles workflow for obtaining the full elastic tensor, and the mechanical properties derived from it, for disordered body-centered-cubic refractory binary alloys as a function of composition. The approach replaces stress-strain fitting with density functional perturbation theory (DFPT), which returns an unbiased elastic tensor without predetermined strain tensors and gives site-resolved local-field and nuclear-relaxation data appropriate for low-symmetry, randomized-position alloy models. Learners see how rigid-ion and relaxed-ion elastic constants are computed for Mo-Nb-Ta-W binaries, how bulk, shear, and Young's moduli, Poisson's ratio, Pugh's ratio, Cauchy pressure and elastic anisotropy follow, and how quantum-driven heterogeneity across lattice sites is mapped and validated against experiment.
Uses density functional perturbation theory (DFPT), rather than traditional stress-strain methods, to compute the rigid-ion and relaxed-ion elastic tensors of disordered body-centered-cubic (BCC) ref…