Assignment 3, MSE 362
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Assignment 3, MSE 362
Due Date: 05-22-2023 (beginning of lecture)
Viscoelastic response of a polymer is fitted at 100 ℃ using a generalized Maxwell model with 12 elements and G∞ = 250 MPa:
|
Element i |
Gi/G∞ |
λ i (s) |
|
1 |
0.004 |
1.00E-06 |
|
2 |
0.020 |
1.00E-05 |
|
3 |
0.040 |
1.00E-04 |
|
4 |
0.060 |
1.00E-03 |
|
5 |
0.080 |
1.00E-02 |
|
6 |
0.110 |
1.00E-01 |
|
7 |
0.130 |
1.00E+00 |
|
8 |
0.150 |
1.00E+01 |
|
9 |
0.130 |
1.00E+02 |
|
10 |
0.100 |
1.00E+03 |
|
11 |
0.020 |
1.00E+04 |
|
12 |
0.004 |
1.00E+05 |
- Calculate and show the relaxation modulus using elements (1,4,8,12) only.
- Calculate and show the relaxation modulus using even elements only (2,4,6,8,10,12) .
- Calculate and show the relaxation modulus using all 12 elements.
- Compare previous results and comment on their differences. What are the glassy and rubbery modulus of the material?
- Assume that the constants of the WLF equation for this polymer are given as below:
C1 = 20, C2 = 50 (℃)
calculate and show the relaxation modulus of the material using all 12 elements at three temperatures of 95 ℃, 100 ℃ and 115 ℃ . Based on these results, how long it takes for the relaxation modulus to reach 350 MPa at 95 ℃, 100 ℃ and 115 ℃?
2023-05-22