Thermal Expansion, Layered Shell (Multiphysics Coupling)
Use the Thermal Expansion, Layered Shell multiphysics coupling () to add an internal thermal strain caused by changes in temperature and account for the corresponding mechanical losses in the heat balance in layered materials represented by boundaries.
The Thermal Expansion, Layered Shell node is only available with some COMSOL products (see http://www.comsol.com/products/specifications/).
Settings
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 tel1.
Boundary Selection
When nodes are added from the context menu, you can select Manual (the default) from the Selection list to choose specific boundaries to define the coefficient of thermal expansion and the different temperatures that cause thermal stress, or select All boundaries as needed.
Only boundaries that are active in the physics interfaces selected in the Coupled Interfaces section can be selected.
Coupled Interfaces
This section defines the physics involved in the multiphysics coupling. The Heat transfer and Layered Shell lists include all applicable physics interfaces. The first physics interface of each type in the component is selected as the default.
You can also select None from either list to uncouple the Thermal Expansion, Layered Shell node from a physics interface. If the physics interface is removed from the Model Builder, for example Heat Transfer in Shells is deleted, then the Heat transfer list defaults to None as there is nothing to couple to.
Layer Selection
Select the applicable layers (the default setting is All layered materials) defining the required material properties for the node.
If no layered materials have been included yet, there is a shorthand available for creating a Single Layer Material, a Layered Material Link, or a Layered Material Stack (the plus, next to the Layered Material list).
When a layered material stack or link is selected from the Layered Material list, deselect the check boxes corresponding to layers where the node should not be applied in the Selection table.
You can visualize the selected layered materials and layers in each layered material by clicking the Layer cross section preview and Layer 3D preview buttons.
The desired selection for the node may correspond to boundaries with different layered materials. The All layered materials option allows to gather these materials to make the desired selection applicable for the node on the union of the boundaries where the layered materials are defined.
See Layered Material, Layered Material Link, Layered Material Stack, Layered Material Link (Subnode), and Single Layer Material in the COMSOL Multiphysics Reference Manual for details on the definition of layered materials.
See Thermal Expansion (Multiphysics Coupling) for a description of the corresponding multiphysics coupling in domains.
Model Input
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.
See also Common Model Inputs and Model Input in the COMSOL Multiphysics Reference Guide.
Thermal Expansion Properties
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.
Heat Sources
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.
You need to select Calculate dissipated energy in the Energy Dissipation section of the settings for the material model in Solid Mechanics to add the variables for energy dissipation. To display this section, click the Show button () and select Advanced Physics Options.