Domains

A domain defines a group of variables. All fields have both an independent and dependent domain.

Independent domain

The independent domain is the set of variables which vary independently of any other quantities. Thus, an independent domain might be:

• A single non-spatial variable like time. For this case, the field represents a functional relationship of the form f = f(t).

• Multiple non-spatial variables like temperature and strain. For this case, the field represents a functional relationship of the form f = f(T,ε).

• Spatial coordinates. For this case, the field represents a functional relationship of the form f = f(x,y,z). This type of field is referred to as a spatial map or spatial field.

• A single non-spatial variable like time and the spatial coordinates. For this case, the field represents a functional relationship of the form f = f(x,y,z,t). This type of field is referred to as a 4D field.

Dependent domain

The dependent domain is the set of variables whose values depend on the independent domain. Thus, the dependent domain might be:

• A single variable like pressure.If the dependent domain has a single variable, the field represents a single functional relationship and is referred to as a scalar field.

• Multiple variables like the components of a force.If the dependent domain has multiple variables, the field represents a set of functional relationships and is referred to as a vector field. For example, if the dependent domain is Components of Force and the independent domain is Cartesian, the field represents three functional relationships. They are Fx = Fx(x,y,z), Fy = Fy(x,y,z), and Fz = Fz(x,y,z).

Allowable domains

You can define fields from the dialog boxes that you use to specify boundary conditions or material properties, or from the Simulation Navigator or Menu.

• When you define a field from the dialog box for a boundary condition, the choices for independent domain are filtered and the dependent domain is predefined. For example, to define the magnitude of a force, Time, Frequency, and Temperature are the independent domain options, and Force is automatically defined as the dependent domain.

• When you define a field from the dialog box for a material property, the independent and dependent domains are predefined. For example, to define the shear modulus of an isotropic material with a field, Temperature is the predefined independent domain, and Stress is the predefined dependent domain.Note: Shear modulus and stress have the same dimensions.

• When you define a field from the Simulation Navigator or Menu, the domains are not filtered and you can use any combination of independent and dependent domains. However, you must select the domains such that they are compatible with the ultimate use of the field.

How do I

Test a field

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Fields

Domain variables

Types of fields

Acoustic attributes for frequency-dependent fields

Abaqus attributes for time-dependent fields

Using fields to define boundary conditions

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Domains, Simcenter 3D 2021.1 Series

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