This validation case belongs to solid mechanics. The aim of this test case is to validate the following parameters on a fixed beam, that is subjected to a temperature change of 10 \(K\):
The simulation results of SimScale were compared to the results presented in [Roark]\(^1\).
A bar with a square cross-section was used for this case:
The cross section area of the bar is \(A\) = 0.05 x 0.05 \(m^2\) and it’s length is \(l\) = 1.0 \(m\).
Tool Type: Code_Aster
Analysis Type: Thermomechanical, linear with static inertia effect
Mesh and Element Types:
The meshes used in (A) and (B) were created with the Standard mesher tool on the SimScale platform. Details can be found in Table 1:
|Case||Mesh type||Number of nodes||Element type|
|A||Standard||1484||1st order tetrahedral|
|B||Standard||9320||2nd order tetrahedral|
The analytical solution for the unit stress is given by the following equation:
$$σ =ΔT \times \ γ \times \ E $$
As a result, the analytical calculation gives a unit stress of: $$σ =24.6\ MPa $$
Comparison of the unit stress \(\sigma\) obtained from SimScale against the reference results obtained from [Roark]\(^1\) is given in the following table:
As shown in Table 2, the SimScale results perfectly match the analytical ones with 0.00% error.
Last updated: July 21st, 2021
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