|
eps11 =
|
|
NU*sig11 NU*sig22 sig11 sig22 NU*sig33 NU*sig11 NU*sig12 NU*sig22 sig11 sig12
|
|
-------- - -------- + ------- - ------- - -------- - -------- + -------- - -------- + ------ - ------
|
|
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
|
|
|
|
sig22 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 sig22
|
|
+ ------ - -------- - -------- - -------- + ------ + ------ + ------
|
|
4*A2*E 4*A1*E 2*A1*E 4*A1*E 4*A1*E 2*A1*E 4*A1*E
|
|
|
|
|
|
eps22 =
|
|
NU*sig11 NU*sig22 sig11 sig22 NU*sig33 NU*sig11 NU*sig12 NU*sig22 sig11 sig12
|
|
- -------- + -------- - ------- + ------- - -------- - -------- + -------- - -------- + ------ - ------
|
|
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
|
|
|
|
sig22 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 sig22
|
|
+ ------ - -------- - -------- - -------- + ------ + ------ + ------
|
|
4*A2*E 4*A1*E 2*A1*E 4*A1*E 4*A1*E 2*A1*E 4*A1*E
|
|
|
|
|
|
eps33 =
|
|
sig33 NU*sig11 NU*sig12 NU*sig22 NU*sig11 NU*sig12 NU*sig22
|
|
----- - -------- + -------- - -------- - -------- - -------- - --------
|
|
A3*E 2*A2*E A2*E 2*A2*E 2*A1*E A1*E 2*A1*E
|
|
|
|
eps12 =
|
|
-A1*sig11 + 2*A1*sig12 - A1*sig22 + A2*sig11 + 2*A2*sig12 + A2*sig22
|
|
--------------------------------------------------------------------
|
|
|
|
8*A1*A2*G
|
|
eps13 =
|
|
sig13
|
|
-------------
|
|
G*(B13 + B23)
|
|
|
|
|
|
eps23 =
|
|
sig23
|
|
-------------
|
|
G*(B13 + B23)
|
|
|
|
|
|
sig11 =
|
|
A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N
|
|
- ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 - ------
|
|
2 4 4
|
|
--------------------------------------------------------------------------------------------------
|
|
|
|
|
|
|
|
U*eps33 A2*E*eps11 A2*E*eps22 2
|
|
------- - ---------- - ---------- - 2*A2*G*NU *eps12 - A2*G*NU*eps12 + A2*G*eps12 + B12*E*NU*eps11
|
|
2 4 4
|
|
--------------------------------------------------------------------------------------------------
|
|
2
|
|
2*NU + NU - 1
|
|
|
|
B12*E*eps11 B12*E*eps22
|
|
- B12*E*NU*eps22 - ----------- + -----------
|
|
2 2
|
|
---------------------------------------------
|
|
|
|
|
|
sig22 =
|
|
A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N
|
|
- ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 - ------
|
|
2 4 4
|
|
--------------------------------------------------------------------------------------------------
|
|
|
|
|
|
|
|
U*eps33 A2*E*eps11 A2*E*eps22 2
|
|
------- - ---------- - ---------- - 2*A2*G*NU *eps12 - A2*G*NU*eps12 + A2*G*eps12 - B12*E*NU*eps11
|
|
2 4 4
|
|
--------------------------------------------------------------------------------------------------
|
|
2
|
|
2*NU + NU - 1
|
|
|
|
B12*E*eps11 B12*E*eps22
|
|
+ B12*E*NU*eps22 + ----------- - -----------
|
|
2 2
|
|
---------------------------------------------
|
|
|
|
|
|
sig33 =
|
|
-A3*E*(NU*eps11 + NU*eps22 - NU*eps33 + eps33)
|
|
-----------------------------------------------
|
|
2
|
|
2*NU + NU - 1
|
|
|
|
sig12 =
|
|
A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N
|
|
- ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 + ------
|
|
2 4 4
|
|
--------------------------------------------------------------------------------------------------
|
|
2
|
|
2*NU + NU - 1
|
|
|
|
U*eps33 A2*E*eps11 A2*E*eps22 2
|
|
------- + ---------- + ---------- + 2*A2*G*NU *eps12 + A2*G*NU*eps12 - A2*G*eps12
|
|
2 4 4
|
|
---------------------------------------------------------------------------------
|
|
|
|
|
|
sig13 =
|
|
G*eps13*(B13 + B23)
|
|
|
|
|
|
sig23 =
|
|
G*eps23*(B13 + B23)
|