This 3D punch contact validation case belongs to solid mechanics. This test case aims to validate the following parameters:
The simulation results of SimScale were compared to the analytical results derived from [NAFEMS_R94]\(^1\).
The geometry consists of a punch (DGHIJK) on top of a foundation (ABCDEF). The 3D punch has a 10 \(mm\) radius fillet at the edge of the contact with the foundation. Figure 1 shows a wireframe of the geometry:
Due to the symmetry of the problem, only a quarter of the model is used for the simulations. These are the coordinates for each of the points:
The following dimensions are used in the creation of the geometry:
|Geometry Feature||Dimension \([mm]\)|
|Fillet radius at the edge of the punch contact||10|
Tool Type: Code_Aster
Analysis Type: Dynamic
Mesh and Element Types: The meshes used in this project were created in SimScale with the standard algorithm.
|Case||Element Type||Nodes||Element Technology||Solution Method||Contact Smoothing||Penalty Coefficient||Coefficient of Friction|
|A||1st Order Tetrahedral||32101||Standard||Penalty||On||1e14||0|
|B||2nd Order Tetrahedral||50226||Reduced Integration||Penalty||On||1e14||0|
|C||1st Order Tetrahedral||32101||Standard||Penalty||On||1e14||0.1|
|D||2nd Order Tetrahedral||50226||Reduced Integration||Penalty||On||1e14||0.1|
Find below the mesh used for cases B and D. It’s a standard mesh with second-order tetrahedral cells.
Comparison of the displacements and the normal pressure of the nodes on edge DE. The values of reference in all figures were calculated with MSC.MARC and extracted from [NAFEMS_R94]\(^1\) with WebPlotDigitizer.
The first plot is a comparison between the axial displacements from the cases without friction and the reference values:
Now, comparing axial displacement from the cases with the friction and the reference values. Similarly to the previous case, a very good agreement is observed here:
Now, still analyzing the results over the DE edge, we will compare the radial displacements obtained with SimScale to the reference ones.
Figure 6 shows contours for \(y\) displacement, in meters, for case D:
Last updated: September 30th, 2021
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