|
1
|
eps11 =
|
|
2
|
NU*sig11 NU*sig22 sig11 sig22 NU*sig33 NU*sig11 NU*sig12 NU*sig22 sig11 sig12
|
|
3
|
-------- - -------- + ------- - ------- - -------- - -------- + -------- - -------- + ------ - ------
|
|
4
|
2*B12*E 2*B12*E 2*B12*E 2*B12*E A3*E 4*A2*E 2*A2*E 4*A2*E 4*A2*E 2*A2*E
|
|
5
|
|
|
6
|
sig22 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 sig22
|
|
7
|
+ ------ - -------- - -------- - -------- + ------ + ------ + ------
|
|
8
|
4*A2*E 4*A1*E 2*A1*E 4*A1*E 4*A1*E 2*A1*E 4*A1*E
|
|
9
|
|
|
10
|
|
|
11
|
eps22 =
|
|
12
|
NU*sig11 NU*sig22 sig11 sig22 NU*sig33 NU*sig11 NU*sig12 NU*sig22 sig11 sig12
|
|
13
|
- -------- + -------- - ------- + ------- - -------- - -------- + -------- - -------- + ------ - ------
|
|
14
|
2*B12*E 2*B12*E 2*B12*E 2*B12*E A3*E 4*A2*E 2*A2*E 4*A2*E 4*A2*E 2*A2*E
|
|
15
|
|
|
16
|
sig22 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 sig22
|
|
17
|
+ ------ - -------- - -------- - -------- + ------ + ------ + ------
|
|
18
|
4*A2*E 4*A1*E 2*A1*E 4*A1*E 4*A1*E 2*A1*E 4*A1*E
|
|
19
|
|
|
20
|
|
|
21
|
eps33 =
|
|
22
|
sig33 NU*sig11 NU*sig12 NU*sig22 NU*sig11 NU*sig12 NU*sig22
|
|
23
|
----- - -------- + -------- - -------- - -------- - -------- - --------
|
|
24
|
A3*E 2*A2*E A2*E 2*A2*E 2*A1*E A1*E 2*A1*E
|
|
25
|
|
|
26
|
eps12 =
|
|
27
|
-A1*sig11 + 2*A1*sig12 - A1*sig22 + A2*sig11 + 2*A2*sig12 + A2*sig22
|
|
28
|
--------------------------------------------------------------------
|
|
29
|
|
|
30
|
8*A1*A2*G
|
|
31
|
eps13 =
|
|
32
|
sig13
|
|
33
|
-------------
|
|
34
|
G*(B13 + B23)
|
|
35
|
|
|
36
|
|
|
37
|
eps23 =
|
|
38
|
sig23
|
|
39
|
-------------
|
|
40
|
G*(B13 + B23)
|
|
41
|
|
|
42
|
|
|
43
|
sig11 =
|
|
44
|
A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N
|
|
45
|
- ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 - ------
|
|
46
|
2 4 4
|
|
47
|
--------------------------------------------------------------------------------------------------
|
|
48
|
|
|
49
|
|
|
50
|
|
|
51
|
U*eps33 A2*E*eps11 A2*E*eps22 2
|
|
52
|
------- - ---------- - ---------- - 2*A2*G*NU *eps12 - A2*G*NU*eps12 + A2*G*eps12 + B12*E*NU*eps11
|
|
53
|
2 4 4
|
|
54
|
--------------------------------------------------------------------------------------------------
|
|
55
|
2
|
|
56
|
2*NU + NU - 1
|
|
57
|
|
|
58
|
B12*E*eps11 B12*E*eps22
|
|
59
|
- B12*E*NU*eps22 - ----------- + -----------
|
|
60
|
2 2
|
|
61
|
---------------------------------------------
|
|
62
|
|
|
63
|
|
|
64
|
sig22 =
|
|
65
|
A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N
|
|
66
|
- ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 - ------
|
|
67
|
2 4 4
|
|
68
|
--------------------------------------------------------------------------------------------------
|
|
69
|
|
|
70
|
|
|
71
|
|
|
72
|
U*eps33 A2*E*eps11 A2*E*eps22 2
|
|
73
|
------- - ---------- - ---------- - 2*A2*G*NU *eps12 - A2*G*NU*eps12 + A2*G*eps12 - B12*E*NU*eps11
|
|
74
|
2 4 4
|
|
75
|
--------------------------------------------------------------------------------------------------
|
|
76
|
2
|
|
77
|
2*NU + NU - 1
|
|
78
|
|
|
79
|
B12*E*eps11 B12*E*eps22
|
|
80
|
+ B12*E*NU*eps22 + ----------- - -----------
|
|
81
|
2 2
|
|
82
|
---------------------------------------------
|
|
83
|
|
|
84
|
|
|
85
|
sig33 =
|
|
86
|
-A3*E*(NU*eps11 + NU*eps22 - NU*eps33 + eps33)
|
|
87
|
-----------------------------------------------
|
|
88
|
2
|
|
89
|
2*NU + NU - 1
|
|
90
|
|
|
91
|
sig12 =
|
|
92
|
A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N
|
|
93
|
- ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 + ------
|
|
94
|
2 4 4
|
|
95
|
--------------------------------------------------------------------------------------------------
|
|
96
|
2
|
|
97
|
2*NU + NU - 1
|
|
98
|
|
|
99
|
U*eps33 A2*E*eps11 A2*E*eps22 2
|
|
100
|
------- + ---------- + ---------- + 2*A2*G*NU *eps12 + A2*G*NU*eps12 - A2*G*eps12
|
|
101
|
2 4 4
|
|
102
|
---------------------------------------------------------------------------------
|
|
103
|
|
|
104
|
|
|
105
|
sig13 =
|
|
106
|
G*eps13*(B13 + B23)
|
|
107
|
|
|
108
|
|
|
109
|
sig23 =
|
|
110
|
G*eps23*(B13 + B23)
|