# /HEAT/MAT

Block Format Keyword Describes thermal parameters for a given material in order to compute temperature evaluation.

Thermal conductivity is defined from $k=A+B.T$ .

Thermal diffusivity is $\alpha =k/{\rho }_{0}{C}_{p}$ .

## Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/HEAT/MAT/mat_ID/unit_ID
T0 $\rho {\text{ }}_{0}{C}_{p}$ AS BS
Tmelt AL BL EFRAC

## Definition

Field Contents SI Unit Example
mat_ID Material identifier.

(Integer, maximum 10 digits)

unit_ID Unit Identifier.

(Integer, maximum 10 digits)

T0 Initial temperature (1st part).

Default = 300K (Real)

$\left[\text{K}\right]$
$\rho {\text{ }}_{0}{C}_{p}$ (Mandatory) Specific heat per unit volume at constant pressure.

(Real)

$\left[\frac{\text{J}}{{\text{m}}^{3}\cdot \text{K}}\right]$
AS Thermal conductivity coefficient A for solid phase.

(Real)

$\left[\frac{\text{W}}{\text{m}\cdot \text{K}}\right]$
BS Thermal conductivity coefficient B for solid phase.

(Real)

$\left[\frac{\text{W}}{\text{m}\cdot {\text{K}}^{2}}\right]$
Tmelt Temperature of melting point.

Default = 1020 (Real)

$\left[\text{K}\right]$
AL Thermal conductivity coefficient A for liquid phase.

(Real)

$\left[\frac{\text{W}}{\text{m}\cdot \text{K}}\right]$
BL Thermal conductivity coefficient B for liquid phase.

(Real)

$\left[\frac{\text{W}}{\text{m}\cdot {\text{K}}^{2}}\right]$
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
273               3.588                19.0                   0
# 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----|

1. This option overwrites any duplicated parameter from material law.
2. 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

3. This option is compatible with equations of state, /EOS, only when used with the following materials: LAW3, 4, 12, and 49
4. This option is available for:
• Shell elements formulations; except DKT18 and T6
• Solid elements formulations; except PA6
5. A L and BL are used only for ALE solving.
• Over melting point Tmelt:
$k={A}_{L}+{B}_{L}.T$
• In other cases:
$k={A}_{S}+{B}_{S}.T$
6. Coupling between ALE and Lagrangian solving is currently not available.