Thermal Expansion (for Shape Memory Alloy)
Use the Thermal Expansion subnode to add an internal thermal strain caused by changes in temperature.
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.
The current Temperature T of the alloy is defined in the parent Shape Memory Alloy node.
Default Model Inputs and Model Input in the COMSOL Multiphysics Reference Manual.
Thermal Expansion Properties
Select an Input type to specify how the thermal strain is defined. The default is Secant coefficient of thermal expansion, in which case the thermal strain is given by
here, α = ξAαA + ξMαM is the volume average secant coefficient of thermal expansion, and ξA and ξM are the austenite and martensite volume fractions. The default Secant coefficient of thermal expansion for Austenite αA and Secant coefficient of thermal expansion for Martensite αM use values From material.
When Input type is Tangent coefficient of thermal expansion, the thermal strain is given by
where αt = ξAαtA + ξMαtM is the volume average tangential coefficient of thermal expansion. The default Tangent coefficient of thermal expansion for Austenite αtA and Tangent coefficient of thermal expansion for Martensite αtM use values From material.
When Input type is Thermal strain, enter the Thermal strain for Austenite dLA and the Thermal strain for Martensite dLM as function of temperature explicitly. Then the temal strain of the alloy is computed from dL = ξAdLA + ξMdLM.
In all three cases, the default is to take values From material. Select User defined to enter a value or expression for the coefficient of thermal expansion or thermal strain.
Location in User Interface
Context Menus
Ribbon
Physics tab with Shape Memory Alloy node selected in the model tree: