Energy Thermal Measure


Parameter Name	Formula
ENERGY_THERMAL_MEASURE	${f_{g}}^{T} T_{u} - q^{T} T_{g} f_{g}$

where $f_{g}$ is the defined external load, $T_{u}$ the unknown field temperature field, $q$ thermal reaction load at the boundary where the prescribed temperature is applied and $T_{g}$ the prescribed temperature at the boundary.

Analysis Types: Thermal Analysis

This is the total thermal energy stored in the system. It is a global measure that is used to define the conductivity of structures. Minimizing this response will lead to the best conductivity in the structure. Because of the way it is implemented in SIMULIA Tosca Structure, there is no need to distinguish between external thermal loads or prescribed temperature conditions.

This response is easy to define and almost always results in stable optimizations with good convergence. This is analogous to energy_stiffness_measure in a structural optimization.

The following table shows the allowed combinations between strategy and the items OBJ_FUNC and CONSTRAINT with C for controller-based optimization and S for sensitivity-based optimization.


	TOPO	SHAPE	BEAD	SIZING
OBJ_FUNC	S
CONSTRAINT	S

Remarks

The specified element group should always contain all elements.

Definition

The design response (DRESP) for ENERGY_THERMAL_MEASURE is defined like:


DRESP
 ID_NAME  = DRESP_ENERGY_THERMAL_MEASURE
 DEF_TYPE = SYSTEM
 TYPE     = ENERGY_THERMAL_MEASURE
 EL_GROUP = ALL_ELEMENTS
END_