3D Punch (Rounded Edges) (NAFEMS Contact Benchmark 2)
Overview
The aim of this test case is to validate the following functions:
penalty contact
augmented lagrange contact
friction
The simulation results of SimScale were compared to the results presented in [NAFEMS_R94]. The mesh used in (A) was taken from [SSNA122] and extruded in 3D hexahedral elements. The mesh in (B) was created with the tetrahedralization-with-refinements tool on the SimScale platform.
Due to the symmetry of the problem only a quarter of the model is used for the simulation. The punch (DGHJKL) is on top of the foundation (ABCDEF).
Punch diameter
100 mm
Punch height
100 mm
Foundation diameter
200 mm
Foundation height
200 mm
Fillet radius at the edge of the punch contact
10 mm
Analysis type and Domain
Tool Type : Code_Aster
Analysis Type : Dynamic
Mesh and Element types :
Case
Mesh type
Number of nodes
Element type
(A)
linear hexahedral
7803
3D isoparametric
(B)
linear tetrahedral
19353
3D isoparametric
Mesh used for SimScale case (A)Mesh used for the SimScale case (B)
Simulation Setup
Important
All displacement and load components are referred to the coordinate system in the figure of the geometry section.
Material:
Punch: isotropic: E = 210 GPa, ν = 0.3
Foundation: isotropic: E = 70 GPa, ν = 0.3
Constraints:
Face ABC fixed
Face ACDF and DHJL zero x-displacement
Face ABDE and DGJK zero y-displacement
Loads:
Uniform pressure p = 10⁸ Pa on face JKL
Contact I
Contact II
Contact III
Solution method
Augmented Lagrange
Penalty
Penalty
Contact smoothing
on
on
on
Coefficient of contact
100
10¹⁴
10¹⁴
Coefficient of friction
μ
0
0
0.1
Comparison of the displacements and the normal pressure of the nodes on edge DE. The values of the reference [MARC] in all figures were extracted from [NAFEMS_R94] with WebPlotDigitizer.
Comparison of the axial displacement on edge DEComparison of the radial displacement on edge DENormal pressure on edge DE
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