Дислокационные механизмы разрушения двойникующихся материалов. Федоров В.А - 41 стр.

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.ln
2
ln22
4
ln
ln
4
),,,0(
4
22
22
2
22
22
22
2
222222
2222
22
++
++
π
=
+
++
++
π
=
+
+++
++++
π
=
π
=
l
aal
aall
Gb
aal
aal
aall
Gb
laalaalal
aalalal
Gb
laaI
Gb
W
DE
     D   [129]:
ρπ
=
e
aaGb
W
D
ln
2
2
, (3.20)
 е  , = b/2, α = 4.
 (3.18), (3.19) (3.20)  (3.10),     
    
.
)(
ln)1(
2
ln
)1(2
22
22
22
22
2
1
ρ++
++ν
++
++
νπ
=
al
eaal
aall
lal
l
lalal
aGb
W
(3.21)
   (3.7)  W     
    [129]:
],)][()[(ln
)])([(ln
2
))((
2
RbRb
bR
A
R
R
bb
b
A
R
R
bbG
ji
ji
ji
ij
ξ×ξ××
×ξ×ξ×
ξξ
=ω
α
α

ji
bb ,   i- j- ; ξ    ; R
  ; Rα,    -
 .
  bbb
ji
== .  (. 3.17)
22
)][()(,))(( bRbRbbbb
jiji
=ξ×ξ×=ξ×ξ× ,
 
+=ω
2
2
)(
1
ln
ii
a
h
ij
yy
R
R
R
Ab . (3.22)
 (3.22),  W   
=
+=
n
jj
R
y
R
y
R
R
lAbW
2,1
2
2
2
2
2
2
ln , (3.23)

222
222
)(;)(;)2( yaxdRyxdRhjy
jj
+=+==
   (3.23)       -
     . 
=
+=
n
j
R
y
R
y
R
R
lAbW
2
2
2
2
2
2
2
ln , (3.24)
 jhy =
.
 (3.7)    
τ
=
ablA . (3.25)
  (3.21), (3.23) (3.25) (3.7)    W(a, l, d),
         
   n,     -
   G, b .
(3.19)