The purpose of this paper is to obtain the Cottrell atmosphere and its dragging stress τ
d of an edge dislocation moving with the constant velocity
v in concentrated solid solutions. Using the Fermi-Dirac distribution and Einstein’s relation, the diffusion equation of the concentrated solutions is derived as
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\
oindentwhere
J is the diffusion flux,
D the mutual diffusion coefficient,
c the local concentration of solute atoms,
Ω the volume occupied by a lattice point,
k the Boltzmann constant,
T the absolute temperature, and
W the energy change when a solvent atom is interchanged with a solute atom. It is shown that Takeuchi-Argon’s theory and their numerical results are applicable to the concentrated solutions only by replacing
c0 with
c0(1−
c0), where
c0 is the average solute concentration, in their final results. The method of computer experiment by Yoshinaga-Morozumi is slightly modified and applied to the concentrated solutions. The results at |
A⁄
akT|\lesssim1 are approximated fairly well by the equation,
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\
oindentwhere
A=(1+ν)μ
bvε⁄3π(1−ν), ν Poisson’s ratio, μ the shear modulus,
b the Burgers vector,
vε the volume difference between a solute and a solvent atoms,
V=
va⁄
D,
a the lattice constant of the imaginaly lattice moving with the dislocation,
V0\simeq1.2,
i1\simeq0.29 and
i2\simeq0.16. The velocity
vc which gives maximum τ
d is given by
vca⁄
D\simeq1.3; this becomes different from the result of Cottrell,
vc\simeq
DkT⁄
A, especially at |
A⁄
akT|→0.
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