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 |