Theory of Plasticity II : Critical Shear Stress of Binary Alloys

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The critical shear stresses of binary alloys were calculated by means of two relations which have been derived in the previous paper. The curves of critical shear stress protted against the concentration of binary alloys take various forms for different values of X and Y, where X=RT/H, Y=Φ_1/H and H=(F^i_a-F^r_a)-(F^i_b-F^r_b). F^i_a, F^r_a, F^i_b and F^r_b are the Helmholtz's free energy of pure crystal composed of atoms A or B in the real or in the imaginary crystal phase respectively, Φ_1, being the so-called ordering energy of the alloy. The quantity H hardly depends on temperature at sufficiently high temperatures. As Y/X=Φ_1/RT becomes smaller, the critical stress curve protted against the concentration approaches to a symmetric form. But it is very unsymetric for small values of X and the central part of curve becomes flat for large Y. The comparison with observations reveals good agreement in the cases of Au-Ag, Cu-Ni and Cu-Zn alloys.
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