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Norsand - Fraser River Sand Tutorial

1.0 - Introduction

In this tutorial, we will be importing the experimental data on Fraser River Sand and visual basic solution from the Norsand material model and comparing these two with the simulation results from RSData.

Topics covered in this tutorial:

  • Defining and adding Material Properties
  • Defining and adding Test Simulations
  • Importing Laboratory Stress Paths
  • Editing Graphs

Finished Product:

The finished product of this tutorial can be found in the Norsand-Fraser River Sand.rsdata data file. All tutorial files installed with RSData can be accessed by selecting File > Recent Folders > Tutorials Folder from the RSData main menu.

Want to watch the video version of the tutorial? Check it out here:

2.0 Open the Excel File

This tutorial includes the experimental data and visual basic solution for the Norsand material model.

Go to the Norsand-Fraser River Sand folder located in your Tutorials folder, and open the NorTxlDSS(r8)_FraserRiver_r3.xlsm file in Excel.

Excel File

In the Excel spreadsheet, you will see a comparison between experimental data and simulation results using Norsand material model. The material properties and test simulation setup are displayed next to the graphs. The Excel file includes the visual basic code for Norsand materiel model.

The data shown in this graph show the undrained triaxial test results for Fraser River sand. The blue line is the results of the simulation and the red line is the results of the experimental data of the Fraser River Norsand.

3.0 Creating the Model

  1. Launch the RSData program.
  2. Select Blank Project for Project template.

Project Templates dialog

For this tutorial, we will be looking at the stress path graphs. Make sure to select the Stress Path Graphs tab at the bottom of the program.

Stress Path Graphs tab

On the left side of the program, you will see the Visibility Tree.

  1. Select Add Material.
  2. Name of the material "Fraser River Sand" using the field provided in Properties Pane.

Visibility Tree

We will then import the experimental and numerical results form the Excel spreadsheet into RSData.

4.0 Stress Paths

4.1 DEFINING THE LABORATORY STRESS PATHS

  1. Select Stress Path > Define Stress Path in the menu or click on the Define Stress Path icon Define Stress Path icon in the toolbar.
  2. The Define Laboratory Stress Paths dialog will appear. Go to Txl SimResults tab in the excel spreadsheet. You will see the axial strain and axial stress for the RSData-experiment tab (AF to AH). Notice that the first initial axial stress is 393.32.
  3. Go back to RSData and fill in the required data for defining the laboratory stress paths:
    • Name = Lab
    • Test Type = Triaxial Test.
    • Seepage Condition = Undrained.
    • Loading Place = Axial
    • Initial Effective Lateral Stress = 393.32
    • Initial Effective K0 = 1

    Your dialog should look as shown below:

    Define Stress Path - Lab

  4. Go back to the spreadsheet (NorTxlDSSS_FrasedrRiver.xls) and copy columns AF through AH. Go to RSData and paste the data to the table by selecting the paste option.
  5. Excel File - AF to AH

  6. This will be the lab data. Now we will import the experimental data from the spreadsheet as shown below.
  7. Define Stress Path - Lab with Excel Data

  8. Add another data set by clicking on the Plus icon.
  9. Enter the following inputs:
    • Name = MJ
    • Test Type = Triaxial Test
    • Seepage Condition = Undrained
    • Loading Place = Axial
    • Initial Effective Lateral Stress = 395
    • Initial Effective K0 = 1
  10. Go back to the spreadsheet and select columns AB to AD and copy all the data until the end of the columns.
  11. Excel File - AB to AD

  12. Return to the RSdata dialog, and paste the data to the table by selecting the paste option.
  13. Define Stress Path - Lab and M.J.

  14. Click OK.

4.2 ADDING STRESS PATH TO THE MATERIAL

Now that we have stress paths imported from the spreadsheet, we can assign/add them to the material we have defined in RSData.

  1. Select Add Stress Path icon Add Stress Path.
  2. Select both of the stress paths we have defined previously.
  3. Add Stress Path dialog

  4. Click OK.

You should now be able to see the two plots (Lab, MJ) as shown below in RSData.

Lab and MJ Plots

5.0 Material models

5.1 DEFINE THE MATERIAL MODEL

With the stress paths defined for the material, we now define the material constitutive model.

  1. Select Define Materials icon Define Material Models.
  2. A dialog will appear. Change the name to Norsand.
  3. Return to the Excel spreadsheet in Params & Plots tab. You will see the soil properties as shown below.
  4. Params and Plots tab

  5. Return to RSData and enter the following parameters from the excel spreadsheet into the Strength tab:
    • Failure Criterion = Norsand
    • Critical Friction ratio = 1.47
    • Lambda = 0.06
    • H0 = 75
    • Chi = 3.2
    • N = 0.5
    • Hy = 400
    • Psi0 = -0.025
    • Gamma = 1.2
    • Initial consolidation condition = OCR
    • OCR (kPa) = 1.1
    • Select Cap Softening
    • Fluid Bulk Modulus (kPa) = 1e+09.

    Define Material Model dialog

  6. Now select Stiffness tab and enter the following parameters as shown below:
    • Shear modulus at reference (kPa) = 40000
    • Reference pressure for shear modulus (kPa) = 395
    • Modulus exponent = 0.47
    • Poisson’s ratio = 0.15
    • Minimum Shear Modulus (kPa) = 1
  7. Click OK.

5.2 ADD NORSAND MATERIAL MODEL TO FRASER RIVER SAND MATERIAL

We will now add this material model to the sand material.

  1. Select Add Material Properties icon Add Material Properties.
  2. Ensure Fraser River Sand is selected in the drop-down.
  3. Select NorSand for the material model.
  4. Add Material Model dialog

  5. Click OK.

6.0 Test Simulations

6.1 DEFINE TEST SIMULATION

Now we will make an equivalent triaxial test set up in RSData and add it to our material.

  1. Select Define Test Simulation iconDefine Test Simulation.
  2. Enter the following parameters into the dialog:
    • Name = UTC
    • Test Type = Triaxial Test
    • Seepage condition = Undrained
    • Initial effective lateral stress = 395 kPa
    • Initial effective K0 = 1
    • Maximum strain = 0.2
    • Number of steps = 4000.

    Define Test Simulations dialog

  3. Select OK.

6.2 ADD TEST SIMULATION

  1. Select Add Test.
  2. Make sure Fraser River Sand Material and UTC are selected as shown below.
  3. Add Test Simulation dialog

  4. Click OK.

7.0 Results

You will see that the UTC line is updated in the graph and it matches well with the experimental and simulation data as shown below.

Experimental and Simulation data

Now change Volumetric strain of the y axis (top right graph) to Pore water pressure by right clicking on the graph and selecting ‘Edit graph.

Graph Editor - PWP

We are making this change because under a triaxial test we don’t need to take a look at volumetric strain, but rather pore water pressure is more important for us to see. You can change the graph axis by changing the Y-axis to Pore Water Pressure as shown above.

You can also change the axis in the Properties Pane by left-clicking the graph.

Final Results

We can see how the results are matching in this graph.

This concludes our tutorial on the Norsand test simulation using RSData.

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