Model temperature-dependent stress-strain behavior of materials

You can use a table of fields to model temperature-dependent stress-strain behavior of materials. That is, you can use a table of fields to represent a constitutive model of the form:

σ = f(T,ε)

where σ is normal stress, T is temperature, ε is normal strain, and f is a mapping of T and ε to σ. To do this, create a table of fields that references a series of fields that contain isothermal stress-strain data. Thus, σ = f(T,ε) is represented by the following series of N fields.

σ1 = f1(ε) = f(T1,ε) σ2 = f2(ε) = f(T2,ε) ................. σi = fi(ε) = f(Ti,ε) ................. σN = fN(ε) = f(TN,ε)

where Ti are constants.

The following instructions create such a table of fields.

1. Because you are creating a material property field, make the FEM the displayed or work part.

2. In the Simulation Navigator, right-click Fields and choose New Field→Table of Fields.

3. In the Table of Fields dialog box, on the Independent Domain page, select Temperature, Strain from the Independent list.

4. On the Dependent Domain page, select Stress from the Dependent list.

5. On the Definition page, in the data points table, enter a value in the top available cell of the temperature column.Note: Because you chose Temperature, Strain as the independent domain and Stress as the dependent domain, the data points table has temperature and Field columns. The fields you enter in the Field column represent stress-strain isotherms. That is, stress-strain curves that correspond to constant temperatures. The values you enter in the temperature column are the constant temperatures.

6. In the same row, right-click the cell in the Field column and choose Create Table.

7. In the Table Field dialog box, proceed through the Independent Domain andDependent Domain pages, which have already been defined as strain and stress, respectively. On the Definition page, enter the stress-strain data that corresponds to the temperature specified in step 5 and click OK.

8. Repeat steps 5 – 7 to define the stress-strain data at other temperatures.

9. Click OK.

You can select the table of fields you just created as the stress-strain characteristic of an isotropic material as follows:

1. In the Isotropic Material dialog box, in the Stress-Strain Related Properties group, in the Stress-Strain (H) row, click .

2. Click Select Existing Field from List .

3. In the Fields dialog box, select the table of fields.

4. Click OK.

5. In the Isotropic Material dialog box, click OK.

How do I

Define a material with stress-strain data

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Model temperature-dependent stress-strain behavior of materials, Simcenter 3D 2021.1 Series

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