Field-variable-dependent conductivity

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

The following topics are discussed:

Elements tested
Problem description
Results and discussion
Input files

ProductsAbaqus/StandardAbaqus/Explicit

Elements tested

C3D8HT

C3D8RHT

C3D8RT

C3D8T

C3D10MHT

C3D10MT

C3D20HT

C3D20RHT

C3D20RT

C3D20T

CAX4HT

CAX4RHT

CAX4RT

CAX4T

CAX6MHT

CAX6MT

CGAX4HT

CGAX4RHT

CGAX4RT

CGAX4T

CGAX6MHT

CGAX6MT

CPE4HT

CPE4RHT

CPE4RT

CPE4T

CPE6MHT

CPE6MT

CPE8HT

CPE8RHT

CPE8RT

CPE8T

CPEG3T

CPEG4HT

CPEG4RHT

CPEG4RT

CPEG4T

CPEG6MHT

CPEG6MT

CPEG8HT

CPEG8RHT

CPEG8T

CPS4RT

CPS4T

CPS6MT

DC3D8

DC3D10

DC3D20

DC2D3

DC2D4

DC2D6

DC2D8

DC1D2

Problem description

A one-dimensional steady-state heat transfer analysis with field-variable-dependent conductivity is performed. A heat rod with constant conductivity is placed on each side of a heat rod whose conductivity is a function of predefined field variables. These field variables are varied linearly over the course of the four increments of the analysis.

Model:

Element 1: length = 1.0, area = 3.0, conductivity = 150.0

Element 2: length = 2.0, area = 3.0, conductivity = field-variable-dependent (see below)

Element 3: length = 3.0, area = 3.0, conductivity = 150.0

In Abaqus/Standard steady-state simulations are performed using both coupled temperature-displacement elements and pure heat transfer elements to model the rods. In Abaqus/Explicit CPE4RT elements are used to model the heat rods (unit width is assumed for each heat rod), and a transient analysis is performed. The total simulation time is 1.40 × 10⁶. This provides enough time for the transient solution to reach steady-state conditions in this problem.

Boundary conditions:

$T_{1}$ =1000.0, $T_{4}$ =0.0

Results and discussion

The temperatures on each end of the rod (nodes 2 and 3) are reported below. These temperatures match the exact results.

Input files

Abaqus/Standard input files

fvdepcond_std_c3d8ht.inp: Field-variable-dependent conductivity; C3D8HT elements.
fvdepcond_std_c3d8rht.inp: Field-variable-dependent conductivity; C3D8RHT elements.
fvdepcond_std_c3d8rt.inp: Field-variable-dependent conductivity; C3D8RT elements.
fvdepcond_std_c3d8t.inp: Field-variable-dependent conductivity; C3D8T elements.
fvdepcond_std_c3d10mht.inp: Field-variable-dependent conductivity; C3D10MHT elements.
fvdepcond_std_c3d10mt.inp: Field-variable-dependent conductivity; C3D10MT elements.
fvdepcond_std_c3d20ht.inp: Field-variable-dependent conductivity; C3D20HT elements.
fvdepcond_std_c3d20rht.inp: Field-variable-dependent conductivity; C3D20RHT elements.
fvdepcond_std_c3d20rt.inp: Field-variable-dependent conductivity; C3D20RT elements.
fvdepcond_std_c3d20rt_post.inp: Field-variable-dependent conductivity; POST OUTPUT analysis.
fvdepcond_std_c3d20t.inp: Field-variable-dependent conductivity; C3D20T elements.
fvdepcond_std_cax4ht.inp: Field-variable-dependent conductivity; CAX4HT elements.
fvdepcond_std_cax4rht.inp: Field-variable-dependent conductivity; CAX4RHT elements.
fvdepcond_std_cax4rt.inp: Field-variable-dependent conductivity; CAX4RT elements.
fvdepcond_std_cax4t.inp: Field-variable-dependent conductivity; CAX4T elements.
fvdepcond_std_cax6mht.inp: Field-variable-dependent conductivity; CAX6MHT elements.
fvdepcond_std_cax6mt.inp: Field-variable-dependent conductivity; CAX6MT elements.
fvdepcond_std_cgax4ht.inp: Field-variable-dependent conductivity; CGAX4HT elements.
fvdepcond_std_cgax4rht.inp: Field-variable-dependent conductivity; CGAX4RHT elements.
fvdepcond_std_cgax4rt.inp: Field-variable-dependent conductivity; CGAX4RT elements.
fvdepcond_std_cgax4t.inp: Field-variable-dependent conductivity; CGAX4T elements.
fvdepcond_std_cgax6mht.inp: Field-variable-dependent conductivity; CGAX6MHT elements.
fvdepcond_std_cgax6mt.inp: Field-variable-dependent conductivity; CGAX6MT elements.
fvdepcond_std_cpe4ht.inp: Field-variable-dependent conductivity; CPE4HT elements.
fvdepcond_std_cpe4rht.inp: Field-variable-dependent conductivity; CPE4RHT elements.
fvdepcond_std_cpe4rt.inp: Field-variable-dependent conductivity; CPE4RT elements.
fvdepcond_std_cpe4t.inp: Field-variable-dependent conductivity; CPE4T elements.
fvdepcond_std_cpe6mht.inp: Field-variable-dependent conductivity; CPE6MHT elements.
fvdepcond_std_cpe6mt.inp: Field-variable-dependent conductivity; CPE6MT elements.
fvdepcond_std_cpe8ht.inp: Field-variable-dependent conductivity; CPE8HT elements.
fvdepcond_std_cpe8rht.inp: Field-variable-dependent conductivity; CPE8RHT elements.
fvdepcond_std_cpe8rt.inp: Field-variable-dependent conductivity; CPE8RT elements.
fvdepcond_std_cpe8t.inp: Field-variable-dependent conductivity; CPE8T elements.
fvdepcond_std_cpeg3t.inp: Field-variable-dependent conductivity; CPEG3T elements.
fvdepcond_std_cpeg4ht.inp: Field-variable-dependent conductivity; CPEG4HT elements.
fvdepcond_std_cpeg4rht.inp: Field-variable-dependent conductivity; CPEG4RHT elements.
fvdepcond_std_cpeg4rt.inp: Field-variable-dependent conductivity; CPEG4RT elements.
fvdepcond_std_cpeg4t.inp: Field-variable-dependent conductivity; CPEG4T elements.
fvdepcond_std_cpeg6mht.inp: Field-variable-dependent conductivity; CPEG6MHT elements.
fvdepcond_std_cpeg6mt.inp: Field-variable-dependent conductivity; CPEG6MT elements.
fvdepcond_std_cpeg8ht.inp: Field-variable-dependent conductivity; CPEG8HT elements.
fvdepcond_std_cpeg8rht.inp: Field-variable-dependent conductivity; CPEG8RHT elements.
fvdepcond_std_cpeg8t.inp: Field-variable-dependent conductivity; CPEG8T elements.
fvdepcond_std_cps4rt.inp: Field-variable-dependent conductivity; CPS4RT elements.
fvdepcond_std_cps4t.inp: Field-variable-dependent conductivity; CPS4T elements.
fvdepcond_std_cps6mt.inp: Field-variable-dependent conductivity; CPS6MT elements.
mcdisd1nt1.inp: Field-variable-dependent conductivity; DC1D2 elements.
fvdepcond_std_dc3d8.inp: Field-variable-dependent conductivity; DC3D8 elements.
fvdepcond_std_dc3d10.inp: Field-variable-dependent conductivity; DC3D10 elements.
fvdepcond_std_dc3d20.inp: Field-variable-dependent conductivity; DC3D20 elements.
fvdepcond_std_dc2d3.inp: Field-variable-dependent conductivity; DC2D3 elements.
fvdepcond_std_dc2d4.inp: Field-variable-dependent conductivity; DC2D4 elements.
fvdepcond_std_dc2d6.inp: Field-variable-dependent conductivity; DC2D6 elements.
fvdepcond_std_dc2d8.inp: Field-variable-dependent conductivity; DC2D8 elements.

Abaqus/Explicit input file

fvdepcond_xpl_cpe4rt.inp: Field-variable-dependent conductivity; CPE4RT elements.