Heat Transfer Properties
The thermal conductivity and mass density of the compound material are computed using linear weighting by the phase fractions. The properties are given by
Note that the mass density of the compound material is computed using the initial phase fraction
and the density evaluated at the volume reference temperature,
. This is necessary, because a temperature-dependent compound material density of a body defined on the material frame would violate mass conservation. In addition to the compound material density, a current density can also be defined as
.
This density is used internally by the physics interface to compute thermal strains, but it is not used as a material property of the compound material.
The thermal conductivity of the compound material uses a full tensor description. The heat capacity at constant pressure is computed by using a linear weighting of the volumetric heat capacity
ρ
C
p
, having already computed
ρ
:
¨
If geometric nonlinearity is used,
k
and
ρ
C
p
are convected to the spatial frame in the Heat Transfer in Solids physics interface.
and the density evaluated at the volume reference temperature, 
. This is necessary, because a temperature-dependent compound material density of a body defined on the material frame would violate mass conservation. In addition to the compound material density, a current density can also be defined as
.
¨