This validation case belongs to the material damping of the Rayleigh model in solid mechanics. The aim of this test case is to validate the following parameters on the middle point of the beam:
The simulation results from SimScale were compared to the Europlexus and Code Aster results presented in [SDLS123]\(^1\).
The geometry used for the case is as follows:
The beam has a length of 10 \(m\) and a square cross-section with a side length of 1 \(m\). The coordinates of each point can be found in the following table:
|POINT||X \([m]\)||Y \([m]\)||Z \([m]\)|
Tool Type: Code Aster
Analysis Type: Dynamic
Mesh and Element Types:
Tetrahedral meshes were computed using SimScale’s Standard mesh algorithm and manual sizing:
|Case||Mesh Type||Number |
|A||Standard||1173||1st order tetrahedral||Standard|
|B||Standard||7481||2nd order tetrahedral||Standard|
The reference solution is of numerical type as presented in cases A and B of [SDLS123]\(^1\). The Europlexus and Code Aster results for the same linear triangular mesh were used for the comparison.
Comparison of the displacement (DZ), velocity (VZ), and acceleration (AZ) computed on the midpoint of the beam for cases A and B.
The results produced are in good agreement with the reference. Higher deviations are blamed on the nature of linear tetrahedral elements.
Following is a deformed shape of the beam for case A at time \(t = \) 0.012 \(s\):
Last updated: September 28th, 2021
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