It was recalled that it was a persistent problem, as to whether the Peierls stress for a given crystal slip system (table 1) could be quantitatively determined. The prediction of this stress for a wide range of crystals was addressed here by using a new theoretical Peierls stress equation. It was shown that the predictions were in reasonable agreement with experimental data. A comparison with atomistic calculations illustrated that the accuracy of the prediction could degenerate markedly in cases where spreading of the dislocation core was non-planar, and where the application of an external stress significantly changed the core structure. It was suggested that the magnitude of the Peierls stress was governed mainly by the geometrical configuration of the dislocation core.

Prediction of the Peierls Stresses for Various Crystals. J.N.Wang: Materials Science and Engineering A, 1996, 206[2], 259-69

 

 

Table 1

Primary Slip Systems for Various Structures

 

Structure

b

|b|

Slip Plane

Planar Spacing, d

d/b

fcc (simple)

<1¯10>

av2/2

{111}

av6/3

1.1547

fcc (simple)

<1¯10>

av2/2

{110}

av2/2

1

fcc (rock salt)

<1¯10>

av2/2

{110}

av2/2

1

fcc (fluorite)

<1¯10>

av2/2

{001}

a/2

0.7071

fcc (diamond)

<1¯10>

av2/2

{111}

av3/6

0.4083

fcc (zincblende)

<1¯10>

av2/2

{111}

av3/4

0.6124

fcc (spinel)

<1¯10>

av2/2

{111}

av6/3

1.1547

perovskite cubic

<1¯10>

av2/2

{001}

a/2

0.7071

bcc (simple)

<1¯1¯1>

av3/2

{110}

av2/2

0.8165

simple cubic

<001>

a

{110}

av2/2

0.7071

simple cubic

<001>

a

{100}

a

1

hcp (c/a = 1.633)

<11▪0>

a

{00▪1}

[(c/2)2+(a/v3)2]½

[(c/2a)2+1/3]½

hcp (c/a < 1.633)

<11▪0>

a

{1¯1▪0}

av3/2

0.8600

hcp (c/a << 1.633)

<11▪0>

a

{00▪1}

=cv3/2

=c/2a

bct (c/a < v2)

<001>

c

{100}

a/2

a/2c

bct (c/a > v2)

<100>

a

{001}

c/2

c/2a