The Finite Element Method for the Analysis of Non-Linear and ...

Example
Also, for plane strain strain conditions the constitutive tensor is:
⎡
1 ν 0
C =
E
⎢ ν 1 0
1 − ν 2 ⎣
1 − ν
0 0
2
⎤
⎡
E=5000,ν=0.3
⎥
⎢
⎦ → ⎣
6731 2885 0
2885 6731 0
0 0 1923
Now, using the assumption of small strain we can use the above constitutive
tensor for the relationship between the PK2 stress and the Green-Lagrange strain.
Hence from Eqn (1):
⎡
⎢
⎣
S 11
S 22
S 12
⎤
⎡
⎥ ⎢
⎦ = ⎣
5770t 2
13462t 2
3846t
⎤
⎥
⎦
⎤
⎥
⎦
Institute of Structural Engineering Method of Finite Elements II 14