Patch test for heat transfer elements

This problem contains basic test cases for one or more Abaqus elements and features.

The following topics are discussed:

Elements tested
Problem description
Reference solution
Results and discussion
Input files

ProductsAbaqus/StandardAbaqus/Explicit

Elements tested

DC1D2
DC1D3

DC2D3
DC2D4
DC2D6
DC2D8

DC3D4
DC3D6
DC3D8
DC3D10
DC3D15
DC3D20

DCAX3
DCAX4
DCAX6
DCAX8

C3D4T
C3D6T
C3D8RT
C3D8T
C3D10MHT
C3D10MT
SC8RT

CAX3T
CAX4RHT
CAX4RT
CAX6MT
CGAX4RHT
CGAX4RT

CPE3T
CPE4RHT
CPE4RT
CPE6MHT
CPE6MT

CPEG4RHT
CPEG4RT
CPEG6MHT
CPEG6MT

CPS3T
CPS4RT
CPS6MT

EC3D8RT

Problem description

The meshes used for the heat transfer tests are the same as those used for the corresponding stress elements, except that the axisymmetric heat transfer elements use a larger radius.

For coupled temperature-displacement elements dummy mechanical properties are prescribed to complete the material definition.

The total simulation time for the Abaqus/Explicit analysis is 20 units. This provides enough time for the transient solution to reach steady-state conditions in this problem.

Boundary conditions:

$T = C_{0} + C_{1} x + C_{2} y + C_{3} z$ , where T is the temperature, $C_{0}$ through $C_{3}$ are arbitrary constants, and x, y, z denote spatial location. Temperatures are prescribed at every node along the boundary of the mesh. For shell elements z denotes the normal direction to the shell surface.

Reference solution

Fluxes: Since the temperature field is chosen to be linear, it has constant spatial gradients and, thus, has constant fluxes at every integration point.

Results and discussion

All elements yield exact solutions.

Input files

Abaqus/Standard input files

ec12dfp4.inp: DC1D2 elements.
ec13dfp4.inp: DC1D3 elements.
ec23dfp4.inp: DC2D3 elements.
ec24dfp4.inp: DC2D4 elements.
ec26dfp4.inp: DC2D6 elements.
ec28dfp4.inp: DC2D8 elements.
ec34dfp4.inp: DC3D4 elements.
ec36dfp4.inp: DC3D6 elements.
ec38dfp4.inp: DC3D8 elements.
ec3adfp4.inp: DC3D10 elements.
ec3fdfp4.inp: DC3D15 elements.
ec3kdfp4.inp: DC3D20 elements.
eca3dfp4.inp: DCAX3 elements.
eca4dfp4.inp: DCAX4 elements.
eca6dfp4.inp: DCAX6 elements.
eca8dfp4.inp: DCAX8 elements.
es33dxp4.inp: DS3 elements.
es34dxp4.inp: DS4 elements.
es36dxp4.inp: DS6 elements.
es38dxp4.inp: DS8 elements.
ec38trp4.inp: C3D8RT elements.
ec3atlp4.inp: C3D10MHT elements.
ec3atkp4.inp: C3D10MT elements.
eca4typ4.inp: CAX4RHT elements.
eca4trp4.inp: CAX4RT elements.
eca4hyp4.inp: CGAX4RHT elements.
eca4hrp4.inp: CGAX4RT elements.
ece4trp4.inp: CPE4RT elements.
ece6tlp4.inp: CPE6MHT elements.
ece6tkp4.inp: CPE6MT elements.
ecg4typ4.inp: CPEG4RHT elements.
ecg4trp4.inp: CPEG4RT elements.
ecg6tlp4.inp: CPEG6MHT elements.
ecg6tkp4.inp: CPEG6MT elements.
ecs4trp4.inp: CPS4RT elements.
ecs6tkp4.inp: CPS6MT elements.

Abaqus/Explicit input files

heatpatch_xpl_c3d4t.inp: C3D4T elements.
heatpatch_xpl_c3d6t.inp: C3D6T elements.
heatpatch_xpl_c3d8rt.inp: C3D8RT elements.
heatpatch_xpl_sc8rt.inp: SC8RT elements.
heatpatch_xpl_c3d8t.inp: C3D8T elements.
heatpatch_xpl_c3d10mt.inp: C3D10MT elements.
heatpatch_xpl_cax3t.inp: CAX3T elements.
heatpatch_xpl_cax4rt.inp: CAX4RT elements.
heatpatch_xpl_cax6mt.inp: CAX6MT elements.
heatpatch_xpl_cpe3t.inp: CPE3T elements.
heatpatch_xpl_cpe4rt.inp: CPE4RT elements.
heatpatch_xpl_cpe6mt.inp: CPE6MT elements.
heatpatch_xpl_cps3t.inp: CPS3T elements.
heatpatch_xpl_cps4rt.inp: CPS4RT elements.
heatpatch_xpl_cps6mt.inp: CPS6MT elements.
htpatch_xpl_ec3d8rt.inp: EC3D8RT elements.