Products: ABAQUS/Standard ABAQUS/Explicit
DC1D2 DC1D3
DC2D3 DC2D4 DC2D6 DC2D8
DCAX3 DCAX4 DCAX6 DCAX8
DS3 DS4 DS6 DS8
CAX3T CAX4T CAX4RT CAX4RHT CAX6MT CAX6MHT
CPE3T CPE4T CPE4RT CPE4RHT CPE6MT CPE6MHT
The geometry is shown above. A uniform mesh with 5 elements along the length of the bar is used. The thickness and width of the bar are each 0.01 m. A transient simulation is performed. The total simulation time is 32 seconds.
Material:Conductivity = 35.0 W/m°C, specific heat = 440.5 J/kg°C, density = 7200 kg/m3.
For coupled temperature-displacement elements dummy mechanical properties are used to complete the material definition.
Boundary conditions:
Temperature prescribed as 0° C at end A, and as 100 ° C at end B, where is time in seconds. No heat flux perpendicular to AB.
Loading:
Zero internal heat generation.
Initial conditions:
All temperatures = 0° C.
This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test T3 from NAFEMS publication TNSB, Rev. 3, “The Standard NAFEMS Benchmarks,” October 1990.
Target solution: Temperature of 36.60° C at 0.08 m at 32 secs.
The results from the ABAQUS/Standard analysis are shown in the following table. The values enclosed in parentheses are percentage differences with respect to the reference solution.
Element | T, Coarse Mesh | T, Fine Mesh |
---|---|---|
DC1D2 | 34.54° C (5.6%) | 35.51° C (3.0%) |
DC1D3 | 35.88° C (2.0%) | 36.09° C (1.4%) |
DC2D3 | 34.54° C (5.6%) | 35.51° C (3.0%) |
DC2D4 | 34.54° C (5.6%) | 35.51° C (3.0%) |
DC2D6 | 36.27° C (0.9%) | 36.14° C (1.3%) |
DC2D8 | 35.88° C (2.0%) | 36.09° C (1.4%) |
DCAX3 | 34.54° C (5.6%) | 35.51° C (3.0%) |
DCAX4 | 34.54° C (5.6%) | 35.51° C (3.0%) |
DCAX6 | 35.91° C (1.9%) | 36.10° C (1.4%) |
DCAX8 | 35.88° C (2.0%) | 36.09° C (1.4%) |
DS3 | 34.54° C (5.6%) | 36.20° C (1.1%) |
DS4 | 34.54° C (5.6%) | 35.51° C (3.0%) |
DS6 | 35.37° C (3.4%) | 36.14° C (1.3%) |
DS8 | 35.88° C (2.0%) | 36.09° C (1.4%) |
CAX4T | 34.54° C (5.6%) | 35.51° C (3.0%) |
CAX4RT | 34.54° C (5.6%) | 35.51° C (3.0%) |
CAX4RHT | 34.54° C (5.6%) | 35.51° C (3.0%) |
CAX6MHT | 35.37° C (3.4%) | 35.85° C (2.1%) |
CAX6MT | 35.37° C (3.4%) | 35.85° C (2.1%) |
CPE4T | 34.54° C (5.6%) | 35.51° C (3.0%) |
CPE4RT | 34.54° C (5.6%) | 35.51° C (3.0%) |
CPE4RHT | 34.54° C (5.6%) | 35.51° C (3.0%) |
CPE6MT | 35.81° C (2.2%) | 36.0° C (1.6%) |
CPE6MHT | 35.81° C (2.2%) | 36.0° C (1.6%) |
CPS4T | 34.54° C (5.6%) | 35.51° C (3.0%) |
CPS4RT | 34.54° C (5.6%) | 35.51° C (3.0%) |
CPS6MT | 35.81° C (2.2%) | 36.0° C (1.6%) |
The results from the ABAQUS/Explicit analysis are shown in the following table. The values enclosed in parentheses are percentage differences with respect to the reference solution.
DC1D2 elements.
DC1D3 elements.
DC2D3 elements.
DC2D4 elements.
DC2D6 elements.
DC2D8 elements.
DCAX3 elements.
DCAX4 elements.
DCAX6 elements.
DCAX8 elements.
DS3 elements.
DS4 elements.
DS6 elements.
DS8 elements.
CAX4T elements.
CAX4RT elements.
CAX4RHT elements.
CAX6MHT elements.
CAX6MT elements
CPE4T elements.
CPE4RT elements.
CPE4RHT elements.
CPE6MT elements.
CPE6MHT elements.
CPS4T elements.
CPS4RT elements.
CPS6MT elements.
DC1D2 elements.
DC1D3 elements.
DC2D3 elements.
DC2D4 elements.
DC2D6 elements.
DC2D8 elements.
DCAX3 elements.
DCAX4 elements.
DCAX6 elements.
DCAX8 elements.
DS3 elements.
DS4 elements.
DS6 elements.
DS8 elements.
CAX4RT elements.
CAX4RHT elements.
CAX6MHT elements.
CAX6MT elements.
CPE4T elements.
CPE4RT elements.
CPE4RHT elements.
CPE6MT elements.
CPE6MHT elements.
CPS4T elements.
CPS4RT elements.
CPS6MT elements.
CAX3T elements.
CAX4RT elements.
CPE3T elements.
CPE4RT elements.
CPS3T elements.
CPS4RT elements.
CAX3T elements.
CAX4RT elements.
CPE3T elements.
CPE4RT elements.
CPS3T elements.
CPS4RT elements.