Table 2:
The relationship between elastic strain energy and strain of S, T
1
and σ.
Phase
Strain
Energy
S
e
=
(
δ
,
0
,
0
,
0
,
0
,
0
)
Δ
E
V
=
1
2
C
11
δ
2
e
=
(
0
,
δ
,
0
,
0
,
0
,
0
)
Δ
E
V
=
1
2
C
22
δ
2
e
=
(
0
,
0
,
δ
,
0
,
0
,
0
)
Δ
E
V
=
1
2
C
33
δ
2
e
=
(
0
,
0
,
0
,
δ
,
0
,
0
)
Δ
E
V
=
1
2
C
44
δ
2
e
=
(
0
,
0
,
0
,
0
,
δ
,
0
)
Δ
E
V
=
1
2
C
55
δ
2
e
=
(
0
,
0
,
0
,
0
,
0
,
δ
)
Δ
E
V
=
1
2
C
66
δ
2
e
=
(
δ
,
δ
,
0
,
0
,
0
,
0
)
Δ
E
V
=
(
C
11
2
+
C
12
+
C
22
2
)
δ
2
e
=
(
0
,
δ
,
δ
,
0
,
0
,
0
)
Δ
E
V
=
(
C
22
2
+
C
23
+
C
33
2
)
δ
2
e
=
(
δ
,
0
,
δ
,
0
,
0
,
0
)
Δ
E
V
=
(
C
11
2
+
C
13
+
C
33
2
)
δ
2
T
1
e
=
(
δ
,
δ
,
0
,
0
,
0
,
0
)
Δ
E
V
=
(
C
11
+
C
12
)
δ
2
e
=
(
0
,
0
,
0
,
0
,
0
,
δ
)
Δ
E
V
=
1
4
(
C
11
-
C
12
)
δ
2
e
=
(
0
,
0
,
δ
,
0
,
0
,
0
)
Δ
E
V
=
1
2
C
33
δ
2
e
=
(
0
,
0
,
0
,
δ
,
δ
,
0
)
Δ
E
V
=
C
44
δ
2
e
=
(
δ
,
δ
,
δ
,
0
,
0
,
0
)
Δ
E
V
=
(
C
11
+
C
12
+
2
C
13
+
C
33
2
)
δ
2
σ
e
1
=
(
0
,
0
,
0
,
δ
,
δ
,
δ
)
Δ
E
=
V
2
(
C
44
e
4
e
4
+
C
44
e
5
e
5
+
C
44
e
6
e
6
)
e
2
=
(
δ
,
δ
,
0
,
0
,
0
,
0
)
Δ
E
=
V
2
(
C
11
e
1
e
1
+
C
11
e
2
e
2
+
C
12
e
1
e
2
+
C
12
e
2
e
1
)
e
3
=
(
δ
,
δ
,
δ
,
0
,
0
,
0
)
Δ
E
=
V
2
(
C
11
e
1
e
1
+
C
11
e
2
e
2
+
C
11
e
3
e
3
+
C
12
e
1
e
2
+
C
12
e
1
e
3
+
C
12
e
2
e
1
+
C
12
e
2
e
3
+
C
12
e
3
e
1
+
C
12
e
3
e
2
)