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Free Sample
Assignment II Numerical Analysis ENEC20003
Solution.pdf1 Definition
Simulate a Fixed-ring consolidation test on a clay sample for both loading and unloading stages using Geostudio Sigma/W package. Assume the following.
Sample diameter: 75 mm
Sample Height: 20 mm
Bulk Unit weight of the sample: 19 kN/m3
Cohesion: 40 kPa
Internal Friction angle: 24 degree
Dilation angle: 0 degree
Module of Elasticity (E): 10 MPa
Poisson Ratio: 0.334
Permeability in the saturated condition: 1E-12 m/sec
Loading stages: Day 1: 12.5 kPa, Day 2: 25, Day 3: 50 kPa, Day 4: 100 kPa, Day 5:
200 kPa
Unloading stages: Day 6: 100 kPa. Day 7: 50 kPa, Day 8: 25 kPa
If you require more parameters, assume a reasonable value and state it in your solution.
|
Time (day) |
Applied Surcharge stress (kPa) |
|
0 (in situ analysis) |
0 |
|
1 |
12.5 |
|
2 |
25 |
|
3 |
50 |
|
4 |
100 |
|
5 |
200 |
|
6 |
100 |
|
7 |
50 |
|
8 |
25 |
Hints:
- Use a material category of Effective Parameters with PWP change for the consolidation test;
- Use Elastic-Plastic (PWP change) Material model to simulate the clay;
- Define a step loading boundary function to apply the surface loading;
- Assume an isotropic clay
- Create one analysis for each day and set the new analysis as a child of the previous analysis; and
- Please note that the water table is always at the top of the sample.
Use the following hydraulic conductivity and volumetric water content functions:
Matric Suction (kPa)
k (m/sec)
Volumetric Water content
0.1
1E-12
0.49937038
0.138692
9.77E-13
0.49880775
0.192354
9.42E-13
0.49774441
0.26678
8.9E-13
0.49574165
0.370002
8.15E-13
0.49199441
0.513163
7.1E-13
0.48507012
0.711715
5.7E-13
0.4725662
0.987091
4.03E-13
0.45089782
1.369016
2.36E-13
0.41589427
1.898714
1.08E-13
0.3652617
2.633362
3.75E-14
0.30245663
3.652259
1.02E-14
0.23741972
5.065387
2.34E-15
0.18067006
7.025281
4.83E-16
0.13701398
9.743494
9.43E-17
0.10562106
13.51344
1.79E-17
0.083479517
18.74204
3.35E-18
0.067712276
25.99369
6.23E-19
0.05622451
36.05114
1.15E-19
0.047627085
50
2.14E-20
0.041021043
2 Tasks
Model the above problem using Geostudio 2018 prepare a report with the following components:
- Model Geometry (Max. 1-page image)
- Model Materials (Max. 1-page text)
- Boundary conditions and analysis type (Max. 2-page text/graph/image)
- The shape of the deformed sample (Max. 1-page image)
- Draw a graph of the displacement of the top centre of the sample with time (day)
- Draw a graph of the excess pore-water pressure at the mid-layer centre of the sample over time (day).
- Draw a graph of the effective stress at the mid-layer centre of the sample over time (day).
The report must be submitted in the current MS Word file including the answers to the above questions.
You should also upload your Geostudio into a Google drive and add the link to the report.
Note: there will be two porous stones at the top and bottom of the sample for providing drainage to the sample. So you should add a hydraulic boundary condition of (zero pore-water pressure) to both the top and bottom of the sample.
