Thermal Expansion (for materials)
Use the Thermal Expansion subnode to add an internal thermal strain caused by changes in temperature. The thermal strain depends on the coefficient of thermal expansion (CTE) α, the temperature T, and the strain-free reference temperature Tref as
It is possible to model bending due to a temperature gradient in the thickness direction of the shell. The temperature is then assumed to vary linearly through the thickness.
Layer Selection
This section is only present when this node is added under Layered Linear Elastic Material node. In this section, select the layers in which thermal expansion needs to be modeled.
For a general description of this section, see Layer Selections in the documentation for the Composite Materials Module.
Model Inputs
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.
From the Temperature T list, select an existing temperature variable from a heat transfer interface (for example, Temperature (htsh/sol1)), if any temperature variables exist. For User defined enter a value or expression for the temperature. This is the mid-surface temperature of the shell, controlling the membrane part of the thermal expansion. If needed, you can add a through-thickness temperature gradient in the Thermal Bending section.
See also Common Model Inputs and Model Input in the COMSOL Multiphysics Reference Guide.
Thermal Expansion Properties
Specify the thermal properties that define the thermal strain.
From the Coefficient of thermal expansion α list, select From material to use the coefficient of thermal expansion from the material, or User defined to enter a value or expression for α. Select Isotropic, Diagonal or Symmetric to enter one or more components for a general coefficient of thermal expansion tensor α. When a nonisotropic coefficient of thermal expansion is used, the axis orientations are given by the coordinate system selection in the parent node.
Thermal Bending
Enter the Temperature difference in thickness direction ΔTz, which affects the thermal bending. This is the difference between the temperatures at the top and bottom surfaces.
Location in User Interface
Context Menus
Shell>Linear Elastic Material>Thermal Expansion
Shell>Layered Linear Elastic Material>Thermal Expansion
Plate>Linear Elastic Material>Thermal Expansion
Ribbon
Physics tab with Linear Elastic Material or Layered Linear Elastic Material node selected in the model tree:
Attributes>Thermal Expansion