Temperature-Dependent TN Model Calibration

This tutorial will demonstrate how to calibrate a temperature-dependent Three Network (TN) material model using MCalibration. The example will use experimental data for a PEEK material that was tested at 4 different temperatures. At each temperature, the material was tested in tension and compression at 2 different strain rates. That is a really nice dataset!

Step 1. Read in all experimental data into MCalibration.

Make sure all experimental load cases have the correct temperature values. Note that you can specify the testing temperatures in the load case dialog box.

Also note that you can select what units MCalibration is using in the MCalibration Options dialog:

If you like you can also specify a target Poisson’s ratio using a “Poisson’s Ratio” load case. I will skip this step in this tutorial. After all load cases have been specified the main MCalibration window should look something like the following:

Step 2. Select the Three Network (TN) model in the Material Model dialog box.

Then click “OK” to select the TN model. Note that the model parameters “thetaHat”, “n”, and “theta0” specify the temperature dependence of the material model. The TN model is unusual in that it uses an equation-based approach to the temperature dependence. A detailed description of the equations are given on this page.

Step 3. Click “Run Calibration” to perform the material model calibration.

After the material model completed the results should look something like the following. The calibrated material model captures the all experimental data with an average error of about 16%. Not too bad!
The final material model can then be exported to any of the supported FE model formats.
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