The Thermal Expansion coupling is similar to the
Thermal Expansion (for Materials) node (
) that can be added under, for example, the
Linear Elastic Material or
Hyperelastic Material for the Solid Mechanics interface. The purpose is the same, and if both nodes are used for the same selection, the settings in the coupling node takes precedence.
The Label is the default multiphysics coupling feature name.
The Name is used primarily as a scope prefix for variables defined by the coupling node. Refer to such variables in expressions using the pattern
<name>.<variable_name>. In order to distinguish between variables belonging to different coupling nodes or physics interfaces, the
name string must be unique. Only letters, numbers, and underscores (_) are permitted in the
Name field. The first character must be a letter.
The default Name (for the first multiphysics coupling feature in the model) is
te1.
When nodes are added from the context menu, you can select Manual (the default) from the
Selection list to choose specific domains to define the coefficient of thermal expansion and the different temperatures that cause thermal stress, or select
All domains as needed.
When Thermal Expansion is added as an effect of adding a Thermal Stress interface, the selection is the same as for the participating physics interfaces.
The Volume reference temperature Tref is the temperature at which there are no thermal strains. As a default, the value is obtained from a
Common model input. You can also select
User defined to enter a value or expression for the temperature locally.
When using Common model input, you can see or modify the value of the volume reference temperature by clicking the
Go To Source button (
). This will move you to the
Common Model Inputs node under
Global Definitions in the Model Builder. The default value is room temperature,
293.15 K.
If you want to create a model input value which is local to your current selection, click the Create Model Input button
. This will create a new
Model Input node under
Definitions in the current component, having the same selection as the current
Thermal Expansion node.
Select an Input type to select how the thermal strain is specified. The default is
Secant coefficient of thermal expansion, in which case the thermal strain is given by
where α is the secant coefficient of thermal expansion.
α can be temperature dependent.
When Input type is
Tangent coefficient of thermal expansion, the thermal strain is given by
where αt is the tangential coefficient of thermal expansion.
When Input type is
Thermal strain, enter the thermal strain
dL as function of temperature explicitly.
In all three cases, the default is to take values From material. When entering data as
User defined, select
Isotropic,
Diagonal or
Symmetric to enter one or more components for a general coefficient of the thermal expansion tensor or the thermal strain tensor. When a nonisotropic input is used, the axis orientations are given by the coordinate system selection in the parent node.
Select Thermoelastic damping to include the reverse coupling where the changes in stress act as a heat source in the heat transfer analysis. Thermoelastic damping is only used when
Structural Transient Behavior is set to Include inertial terms.
Select Mechanical Losses to make any energy dissipation computed in the structural interface act as a heat source in the heat transfer interfaces. Examples of such contributions are work done by plastic deformation, and viscous damping.
This section defines the physics involved in the multiphysics coupling. The Heat transfer and
Solid mechanics lists include all applicable physics interfaces.
You can also select None from either list to uncouple the
Thermal Expansion node from a physics interface. If the physics interface is removed from the
Model Builder, for example
Heat Transfer in Solids is deleted, then the
Heat transfer list defaults to
None as there is nothing to couple to.