1.7.1 Thermal surface interaction

Products: ABAQUS/Standard  ABAQUS/Explicit  

Elements tested

DC1D2    DC2D4    DC2D8    DC3D8    DC3D20    DCAX4    DCAX8   

DS3    DS4    DS6    DS8    DSAX1    DSAX2   

CAX3T    CAX4RT    CPE3T    CPE4RT    CPS3T    CPS4RT    C3D4T    C3D6T    C3D8RT   

Features tested

*CONTACT PAIR

*GAP RADIATION

*GAP CONDUCTANCE

Problem description

A solid material is placed near a heat source whose temperature stays constant. Heat transfer across the gap between the solid surface and the heat source can take place via gap conductance or gap radiation (thus, there are two tests for each element type). Using the default convergence tolerances in ABAQUS/Standard, the reaction fluxes for radiation problems show slight differences (0.1%) from the analytical results due to the severe nonlinearity of the radiation problem. We initiate unidirectional heat flow by applying a constant temperature that is higher than that of the heat source itself to the solid surface away from the heat source. The steady-state temperature at the surface near the heat source is used to verify the numerical solutions.

In ABAQUS/Explicit the steady-state result is obtained by performing a long-term transient simulation. The constant temperature heat source is modeled three different ways: with either deformable elements, isothermal discrete rigid elements, or an isothermal analytical rigid surface. Both kinematic and penalty mechanical contact are considered.

Model:

Element size1 unit in each direction
Inner radius of axisymmetric solids10.0

Material:

Conductivity in solid1.0
Gap conductance10.0
Radiation constants of surfaces5 × 10–10
Absolute zero–460.0

In ABAQUS/Explicit dummy mechanical and capacitance properties are specified to complete the material definition.

Results and discussion

The steady-state temperatures agree with the analytical, one-dimensional heat transfer results.

Input files

ABAQUS/Standard input files

Gap conductance tests:


eiu1dgccc.inp

DC1D2, DGAP elements.

ei22discc.inp

DC2D4 elements.

ei23discc.inp

DC2D8 elements.

ei34discc.inp

DC3D8 elements.

ei38discc.inp

DC3D20 elements.

eia2discc.inp

DCAX4 elements.

eia3discc.inp

DCAX8 elements.

ei33discs.inp

DS3 elements.

ei34discs.inp

DS4 elements.

ei36discs.inp

DS6 elements.

ei38discs.inp

DS8 elements.

eia2discs.inp

DSAX1 elements.

eia3discs.inp

DSAX2 elements.

Gap radiation tests:


eiu1dgcrc.inp

DC1D2, DGAP elements.

ei22disrc.inp

DC2D4 elements.

ei23disrc.inp

DC2D8 elements.

ei34disrc.inp

DC3D8 elements.

ei38disrc.inp

DC3D20 elements.

eia2disrc.inp

DCAX4 elements.

eia3disrc.inp

DCAX8 elements.

ei33disrs.inp

DS3 elements.

ei34disrs.inp

DS4 elements.

ei36disrs.inp

DS6 elements.

ei38disrs.inp

DS8 elements.

eia2disrs.inp

DSAX1 elements.

eia3disrs.inp

DSAX2 elements.

ABAQUS/Explicit input files

Gap conductance tests, deformable-deformable with kinematic mechanical contact:


gapheattrans_c_x_df_cax3t.inp

Solid and heat source modeled with CAX3T elements.

gapheattrans_c_x_df_cax4rt.inp

Solid and heat source modeled with CAX4RT elements.

gapheattrans_c_x_df_cpe3t.inp

Solid and heat source modeled with CPE3T elements.

gapheattrans_c_x_df_cpe4rt.inp

Solid and heat source modeled with CPE4RT elements.

gapheattrans_c_x_df_cps3t.inp

Solid and heat source modeled with CPS3T elements.

gapheattrans_c_x_df_cps4rt.inp

Solid and heat source modeled with CPS4RT elements.

gapheattrans_c_x_df_c3d4t.inp

Solid and heat source modeled with C3D4T elements.

gapheattrans_c_x_df_c3d6t.inp

Solid and heat source modeled with C3D6T elements.

gapheattrans_c_x_df_c3d8rt.inp

Solid and heat source modeled with C3D8RT elements.

Gap conductance tests, deformable-deformable with penalty mechanical contact:


gapheattrans_c_xp_df_cax4rt.inp

Solid and heat source modeled with CAX4RT elements.

gapheattrans_c_xp_df_cpe4rt.inp

Solid and heat source modeled with CPE4RT elements.

gapheattrans_c_xp_df_c3d8rt.inp

Solid and heat source modeled with C3D8RT elements.

Gap conductance tests, discrete rigid-deformable with kinematic mechanical contact:


gapheattrans_c_x_dr_cax4rt.inp

Solid modeled with CAX4RT elements; constant temperature heat source modeled with RAX2 elements.

gapheattrans_c_x_dr_cpe3t.inp

Solid modeled with CPE3T elements; constant temperature heat source modeled with R2D2 elements.

gapheattrans_c_x_dr_cps4rt.inp

Solid modeled with CPS4RT elements; constant temperature heat source modeled with R2D2 elements.

gapheattrans_c_x_dr_c3d4t.inp

Solid modeled with C3D4T elements; constant temperature heat source modeled with R3D3 elements.

gapheattrans_c_x_dr_c3d8rt.inp

Solid modeled with C3D8RT elements; constant temperature heat source modeled with R3D4 elements.

Gap conductance tests, discrete rigid-deformable with penalty mechanical contact:


gapheattrans_c_xp_dr_cax4rt.inp

Solid modeled with CAX4RT elements; constant temperature heat source modeled with RAX2 elements.

gapheattrans_c_xp_dr_cps4rt.inp

Solid modeled with CPS4RT elements; constant temperature heat source modeled with R2D2 elements.

gapheattrans_c_xp_dr_c3d8rt.inp

Solid modeled with C3D8RT elements; constant temperature heat source modeled with R3D4 elements.

Gap conductance tests, analytical rigid-deformable with kinematic mechanical contact:


gapheattrans_c_x_ar_cax4rt.inp

Solid modeled with CAX4RT elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_c_x_ar_cpe3t.inp

Solid modeled with CPE3T elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_c_x_ar_cps4rt.inp

Solid modeled with CPS4RT elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_c_x_ar_c3d4t.inp

Solid modeled with C3D4T elements; constant temperature heat source modeled with an analytical rigid surface.

Gap conductance tests, analytical rigid-deformable with penalty mechanical contact:


gapheattrans_c_xp_ar_cax4rt.inp

Solid modeled with CAX4RT elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_c_xp_ar_cpe3t.inp

Solid modeled with CPE3T elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_c_xp_ar_c3d4t.inp

Solid modeled with C3D4T elements; constant temperature heat source modeled with an analytical rigid surface.

Gap radiation tests, deformable-deformable with kinematic mechanical contact:


gapheattrans_r_x_df_cax3t.inp

Solid and heat source modeled with CAX3T elements.

gapheattrans_r_x_df_cax4rt.inp

Solid and heat source modeled with CAX4RT elements.

gapheattrans_r_x_df_cpe3t.inp

Solid and heat source modeled with CPE3T elements.

gapheattrans_r_x_df_cpe4rt.inp

Solid and heat source modeled with CPE4RT elements.

gapheattrans_r_x_df_cps3t.inp

Solid and heat source modeled with CPS3T elements.

gapheattrans_r_x_df_cps4rt.inp

Solid and heat source modeled with CPS4RT elements.

gapheattrans_r_x_df_c3d4t.inp

Solid and heat source modeled with C3D4T elements.

gapheattrans_r_x_df_c3d6t.inp

Solid and heat source modeled with C3D6T elements.

gapheattrans_r_x_df_c3d8rt.inp

Solid and heat source modeled with C3D8RT elements.

Gap radiation tests, deformable-deformable with penalty mechanical contact:


gapheattrans_r_xp_df_cax3t.inp

Solid and heat source modeled with CAX3T elements.

gapheattrans_r_xp_df_cpe3t.inp

Solid and heat source modeled with CPE3T elements.

gapheattrans_r_xp_df_c3d4t.inp

Solid and heat source modeled with C3D4T elements.

Gap radiation tests, discrete rigid-deformable with kinematic mechanical contact:


gapheattrans_r_x_dr_cax3t.inp

Solid modeled with CAX3T elements; constant temperature heat source modeled with RAX2 elements.

gapheattrans_r_x_dr_cpe4rt.inp

Solid modeled with CPE4RT elements; constant temperature heat source modeled with R2D2 elements.

gapheattrans_r_x_dr_cps3t.inp

Solid modeled with CPS3T elements; constant temperature heat source modeled with R2D2 elements.

gapheattrans_r_x_dr_c3d6t.inp

Solid modeled with C3D6T elements; constant temperature heat source modeled with R3D4 elements.

Gap radiation tests, discrete rigid-deformable with penalty mechanical contact:


gapheattrans_r_xp_dr_cax3t.inp

Solid modeled with CAX3T elements; constant temperature heat source modeled with RAX2 elements.

gapheattrans_r_xp_dr_cps3t.inp

Solid modeled with CPS3T elements; constant temperature heat source modeled with R2D2 elements.

gapheattrans_r_xp_dr_c3d6t.inp

Solid modeled with C3D6T elements; constant temperature heat source modeled with R3D4 elements.

Gap radiation tests, analytical rigid-deformable with kinematic mechanical contact:


gapheattrans_r_x_ar_cax3t.inp

Solid modeled with CAX3T elements; constant temperature heat source with an analytical rigid surface.

gapheattrans_r_x_ar_cpe4rt.inp

Solid modeled with CPE4RT elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_r_x_ar_cps3t.inp

Solid modeled with CPS3T elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_r_x_ar_c3d6t.inp

Solid modeled with C3D6T elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_r_x_ar_c3d8rt.inp

Solid modeled with C3D8RT elements; constant temperature heat source modeled with an analytical rigid surface.

Gap radiation tests, analytical rigid-deformable with penalty mechanical contact:


gapheattrans_r_xp_ar_cax3t.inp

Solid modeled with CAX3T elements; constant temperature heat source with an analytical rigid surface.

gapheattrans_r_xp_ar_cpe4rt.inp

Solid modeled with CPE4RT elements; constant temperature heat source modeled with an analytical rigid surface.

gapheattrans_r_xp_ar_c3d8rt.inp

Solid modeled with C3D8RT elements; constant temperature heat source modeled with an analytical rigid surface.