This validation case belongs to solid mechanics. It uses a cantilever plate geometry to validate the follower pressure boundary condition.
SimScale results are compared to simulation results, presented in [SSNV145]\(^1\). The reference uses Code_Aster to perform the analysis.
The geometry for this project consists of a cantilever plate, as seen in Figure 1:
The dimensions of the geometry are given in Table 1:
Tool Type: Code_Aster
Analysis Type: Nonlinear static
Mesh and Element Types: Two meshes are used in this case. The first one is a second-order mesh created in SimScale with the standard algorithm. Case B uses a second-order hexahedral mesh. It was created locally and imported to SimScale.
Table 2 contains details of the resulting meshes:
|Case||Mesh Type||Nodes||Element Type|
Figure 2 shows the standard mesh, used for case A:
Similarly, Figure 3 shows the second-order hexahedral mesh, that was imported to SimScale.
Especially for nonlinear analysis, such as this one, we recommend second-order meshes. They provide more accurate results, due to the higher number of nodes.
The following article provides further information on second-order meshes for finite element analysis.
The boundary conditions will be defined based on Figure 1:
SimScale results will be compared against two reference simulations. The first one used Code_Aster, while the remaining one used the SAMCEF software.
The results for both reference simulations are found in . The displacements in the X and Z-directions are evaluated at point P (as seen in Figure 1).
In Figure 4, we compare the results for the displacements in the X-direction against Code_Aster. The reference results were extracted using WebPlotDigitizer.
A similar comparison was made for the displacements in the Z-direction:
Additionally, still using point P as a reference, the displacements obtained with SimScale are compared to the results from the SAMCEF software\(^1\). Table 1 contains the displacements in the X-direction:
|Pseudo-time \([s]\)||SAMCEF – DX \([m]\)||Case A – DX \([m]\)||Error [%]||Case B – DX \([m]\)||Error [%]|
A comparison for the displacements in the Z-direction is also presented:
|Pseudo-time \([s]\)||SAMCEF – DZ \([m]\)||Case A – DZ \([m]\)||Error [%]||Case B – DZ \([m]\)||Error [%]|
The results obtained with SimScale for both directions show a great agreement with the reference simulations.
Figure 6 shows the contours for displacements in the X-direction, for case A. The follower pressure boundary condition is updated after each pseudo time step, based on the current deformed state of the geometry. As a result, the plate gets rolled up:
Last updated: September 4th, 2023
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