We have introduced a new theory of plasticity standing on the basis of crystallog_??_aphic correlation between plastic gliding and lattice transformation which occurs in a supercooled or overheated state of alloys.
In this paper c_??_i_??_ical shear stresses of binary all_??_ys were calculated from the above theory. They can be determined by two parameters
X=
RT/
Qa-Qb and
Y=
Φ1/
Qa-Qb where
Qa and
Qb are the heat content-difference between the crystal states when the metal
a and
b have the face centered cubic lattice and body centered cubic lattice respectively, -Φ
1 is the so-called “Ordering energy” of the alloy. Curves of critical shear stress
vs. concentration of alloys, are unsymmetrical in the case of small value of
X and are symmetrical in large
X. The central part of the above curves become flat when an absolute value of
Y is large. These theoretical results where compared with observed values of the alloys. Au-Ag, Cu-Xi. and Cu-Zn, which have a wide range of solid solution. The observed curves of the former two alloys are symmetrical to their concentration and the latter alloys have a curve with approximately a flat part in, the range over 20% Zn. When we put
X_??_4,
Y-5 in the case f Au-Ag,
X_??_1.74,
Y-2.0 in the case of Ni-Cu and
X_??_1.3,
Y-12 in the caze of Cu-Zn the calculated curves in every case showed good agreement with the observed values. The heat content-difference
Q mentioned above means a heat evoluted when a part of crystal lattice in tire narrow region arround the dislocation centre changes its lat_??_ies type al_??_ne accompanied with no change of its electronic structure.
View full abstract