Add an Adiabatic Heating node to model abrupt changes in temperature due to fast deformation. The increase in temperature is then defined by solving the distributed equation
here, ρ is the density,
Cp is the heat capacity at constant pressure,
T is the temperature field,
βah is the coefficient of adiabatic heating, and
Qh corresponds to the heat sources due to mechanical dissipative processes.
The Adiabatic Heating node is only available with some COMSOL products (see
https://www.comsol.com/products/specifications/).
Enter the Initial temperature Tini. The default value is 293.15 K.
The default Heat capacity at constant pressure Cp uses values
From material. For
User defined, enter an expression or value. The default value for the
User defined is
0 J/(kg K).
Enter the Coefficient of adiabatic heating,
βah. The default value is 1 (dimensionless), which means that dissipative processes contribute 100% as heat sources.
The Dissipative heat source list makes it possible to include specific heat sources for the adiabatic heating. Enter a value or expression for the heat source
Qh to include. For instance, the dissipated energy density due to creep is available under the variable
solid.Wc and due to viscoplasticity under the variable
solid.Wvp. Here
solid denotes the name of the physics interface node.
The Automatic method corresponds to the backward Euler method except for the Layered Shell interface or when the Layered Linear Elastic Material is used. Domain ODEs are solved in these cases.
For the Backward Euler method, enter the following settings:
If both a step size and residual convergence check is requested, it is sufficient that one of the conditions is fulfilled. Setting either the Absolute tolerance and
Relative tolerance or the
Residual tolerance to zero ignores the corresponding convergence check. An error is returned if all are set to zero.
No settings are needed for the Domain ODEs method. However, this method adds degrees-of-freedom that are solved as part of the general solver sequence. The scaling of this field can affect the convergence of the overall solution.