/HEAT/MAT

Block Format Keyword Describes thermal parameters for thermal analysis.

Format

(1)	(3)	(5)	(7)	(9)
/HEAT/MAT/`mat_ID`/`unit_ID`
`T`₀	$ρ_{0} C_{p}$	`AS`	`BS`	`I`_form
`T`₁	`AL`	`BL`	`EFRAC`

Definitions

Field	Contents	SI Unit Example
`mat_ID`	Material identifier. (Integer, maximum 10 digits)
`unit_ID`	Unit Identifier. (Integer, maximum 10 digits)
`T`₀	Initial temperature (1st part). Default = 300K (Real)	$[K]$
$ρ_{0} C_{p}$	(Mandatory) Specific heat per unit volume. (Real)	$[\frac{J}{m^{3} \cdot K}]$
`AS`	Thermal conductivity coefficient A for solid phase. (Real)	$[\frac{W}{m \cdot K}]$
`BS`	Thermal conductivity coefficient B for solid phase. (Real)	$[\frac{W}{m \cdot K^{2}}]$
`I`_form	Heat transfer formulation flag. = 0 (Default) For ALE formulation or /MAT/LAW18 (THERM), based on finite volume method, is available for ALE solid element. = 1 For Lagrangian formulation, based on finite element method, is available for solid and shell elements. (Integer)
`T`₁	Temperature of melting point. Default = 10²⁰ (Real)	$[K]$
`AL`	Thermal conductivity coefficient A for liquid phase. (Real)	$[\frac{W}{m \cdot K}]$
`BL`	Thermal conductivity coefficient B for liquid phase. (Real)	$[\frac{W}{m \cdot K^{2}}]$
`EFRAC`	Fraction of strain energy converted into heat. Default = 1. (Real)

Example (Thermal)

#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#-  1. MATERIALS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/UNIT/1
unit for mat
                  Mg                  mm                   s
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/PLAS_JOHNS/1/1
Steel 
#              RHO_I
              7.8E-9                   0
#                  E                  Nu
              210000                  .3
#                  a                   b                   n           EPS_p_max            SIG_max0
                 270                 450                  .6                   0                   0
#                  c           EPS_DOT_0       ICC   Fsmooth               F_cut               Chard
                   0                   0         0         0                   0                   0
#                  m              T_melt              rhoC_p                 T_r
                   0                   0                   0                   0
/HEAT/MAT/1/1
#                 T0             RHO0_CP                  AS                  BS     IFORM
                 273               3.588                19.0                   0         1
# Blank card

/THERM_STRESS/MAT/1/1
# func_IDT            Fscale_y
      1003                   0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#-  2. FUNCTIONS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/FUNCT/1003
linear expansion coefficient funtion of temperature
#                  X                   Y
                 273              1.2E-5                                                            
                 800              1.2E-5                                                            
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

Comments

$ρ_{0} C_{p}$ is a mandatory option; otherwise, Starter will error out.
Values defined in this card overwrite the equivalent values defined in the material.
This option is available for all material laws; except the following:
LAW0, 5, 6, 11, 21, 26, 37, 41, 46, 51, 54, 97, 108, 113, 151, /MAT/B-K-EPS, /MAT/K-EPS, and /MAT/GAS
This option is compatible with equations of state, /EOS, only when used with the following materials: LAW3, 4, 12, and 49
This option is available for:
- All shell elements formulations; except DKT18 and T6
- All solid elements formulations; except PA6
The $k$ (thermal conductivity) is computed as:(1)
$k = A S + B S * T$

Where, $T$ is the current temperature in Kelvin.
The α (thermal diffusivity) is computed as:(2)
$α = \frac{k}{ρ_{0} C_{p}}$

Where, $C_{p}$ is the heat capacity at constant pressure.
New $k'$ (thermal conductivity) is computed as:(3)
$k' = A L + B L * T$
T₁, AL, and BL can be used only for solid elements when finite volume method is used (I_form = 0).
There is no thermal coupling between an ALE thermal material and a Lagrangian thermal material.