Table of fields

Table of fields lets you approximate a function that has an independent domain that consists of two or more variables. It is ideally suited for representing functions that have two or more dissimilar independent variables, such as representing stress as a function of strain and temperature. For example, you can use a table of fields to define a temperature-dependent stress-strain property for a material, or how a physical property like pressure varies with respect to time and location.

You can create a table of fields from any combination of table, formula, reference, and linked fields so long as the independent and dependent domains of these fields are compatible with those of the table of fields.

When you create a table of fields from reference fields, the software constructs the table of fields from the current values for the reference fields. The table of fields that is created does not update upon subsequent solves.

The simplest application of a table of fields is to approximate a function that has an independent domain that consists of two variables. Such a function can be expressed mathematically as:

z = f(x,y)

A table of fields approximates f(x,y) by referencing a series of fields that have a single independent variable. Each of these fields represents a curve in the YZ-plane that is the projection of f(x,y) onto the YZ-plane for a constant value of x. Thus, f(x,y) is represented by the following series of N fields.

z1 = f1(y) = f(X1,y) z2 = f2(y) = f(X2,y) ................. zi = fi(y) = f(Xi,y) ................. zN = fN(y) = f(XN,y)

where Xi are constants.

The software looks up the value for f(X0,Y0) as follows:

1. The software identifies the bounding fieldsThe bounding fields are the fields, fj(y) and fk(y), whose fixed variables, Xj and Xk, respectively, are in closest proximity to X0 such that Xj < X0 < Xk.

2. The software calculates the value of each bounding field at Y0These values are denoted fj(Y0) and fk(Y0).If the bounding field is a table field, the tabular data is interpolated to obtain the value at Y0. If Y0 lies outside of the range of tabular data, the option you choose from the Values outside Table list in the Table Field dialog box determines how the software obtains fj(Y0) and fk(Y0) are obtained.If the bounding field is a reference field, the tabular data is interpolated to obtain the value at Y0. If Y0 lies outside of the range of tabular data, no value is assigned.If the bounding field is a formula field, the formula is evaluated to obtain the value at Y0.

3. The software interpolates the values found in the previous step, fj(Y0) and fk(Y0), to obtain f(X0,Y0)If X0 lies outside of the range of fields, the option you choose from the Values outside Table list in the Table of Fields dialog box determines how the software obtains f(X0,Y0).

Where do I find it?

Application	Pre/Post
Simulation Navigator	Right-click Fields→New Field→Table of Fields

How do I

Create a table of fields

Model temperature-dependent stress-strain behavior of materials

Learn more

Creating a table of fields from an existing field

Look up more details

Special editing options for table of fields

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Table of fields, Simcenter 3D 2021.1 Series

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