This test lets you check analysis results for the thermal expansion of a beam, in the context of a static case. You will use 3D mesh with tetrahedron and hexahedron elements. |
||||||||||||||||||||||||||
Reference: Thermal Expansion Theory |
||||||||||||||||||||||||||
SpecificationsGeometry Specifications
|
Young Modulus (material): |
|
Poisson's Ratio (material): |
|
Thermal Expansion Coefficient: |
|
Mesh Specifications: |
|
Restraints:
|
|
Loads:
The environment temperature is T0 = 300 K |
Case 1: |
||
Case 2: |
||
Case 3: |
The computed results are the same for the following elements: TE4, TE10, HE8, HE20, TR3, TR6, QD4, QD8, bar (linear and parabolic):
Case |
Quantity |
Analytical solution |
Computed results |
Case 1 |
Uth[mm] |
0.2925 |
0.2925 |
Case 2 |
σ22 [MPa] |
-58.5 |
-58.5 |
Case 3 |
Uth- UFy [mm] |
0 |
0 |
To Perform the Test:
The Thermal_expansion_of_a_beamTE10.CATAnalysis document presents the complete analysis of this case, computed with a parabolic tetrahedron elements (TE10).
The Thermal_expansion_of_a_beamHE20.CATAnalysis document presents the complete analysis of this case, computed with a mesh formed of parabolic hexahedron elements (HE20).
To compute the case with linear elements, proceed as follow:
Open one of the CATAnalysis documents.
Enter the Advanced Meshing Tools workbench.
In the specification tree, double-click the mesh:
The Global Parameters dialog box appears. |
Select the Linear element type.
Compute the case in the Generative Structural Analysis workbench.