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NAFEMS Benchmark Tests for Finite Element Modelling of Contact, Gapping and Sliding

Contact, gapping and sliding are apparent in most of today’s industry sectors. For example many manufacturing processes including material forming, shrink fitting and casting – involve these phenomena. Similarly, there are everyday occurrences in the interaction of structural and mechanical components, e.g. in roller bearings, gear movements and bolted connections.

This report presents details of ten benchmark problems involving contact, gapping and sliding. The benchmarks have been selected to illustrate the principal issues associated with the numerical solution of these phenomena and to introduce the current methodology and terminology relating to such problems.

The report presents a classification of contact, gapping and sliding problems and associated technical challenges, and the identification of physical attributes to be addressed in potential benchmarks. A background summary of various numerical approaches and geometric representations currently used for the solution to such problems is also presented.


List of Tables

List of Figures3
1. Introduction5
2. Technical background7
3. Scope and objectives9
4. Definitions11
5. Classification of contact problems13
5.1 Physical attributes
5.2 Numerical solution techniques
5.3 Geometric representation
6. Pitfalls in FE analysis21
7. Summary of main contact issues23
8. Selected benchmark problems25
9. References35
Table 1 Matrix of attributes covered by the selected benchmark problem37

Figs. 1-23 Benchmark Figures



List of Figures

Figure 1Contact patch test (CGS - 1)
Figure 2Results of contact pressure for regular mesh model 1 (CGS - 1)
Figure 3Results of contact pressure for regular mesh model 2 (CGS - 1)
Figure 4Results of contact pressure for irregular mesh models 3 and 4 (CGS - 1)
Figure 5Rigid punch on a deformable foundation (CGS - 2)
Figure 6FE model and results of contact pressures (CGS - 2)
Figure 7Hertzian contact (CGS - 3)
Figure 8FE model and contact pressures (CGS - 3)
Figure 9Sliding wedge with linear springs (CGS - 4)
Figure 10FE model and horizontal displacements (CGS - 4)
Figure 11Cantilevered beam loaded against a rigid curvilinear surface (CGS - 5)
Figure 12FE model and deflections at free end of the cantilever beam (CGS - 5)
Figure 13Bending of a plate over a stiff cylinder (CGS - 6)
Figure 14FE model and contact pressure (CGS - 6)
Figure 15Sliding and rolling of a ring on a rigid surface (CGS - 7)
Figure 16FE model and displacements for a fine mesh model (CGS - 7)
Figure 17FE model and displacements for a coarse mesh model (CGS - 7)
Figure 18Two contacting rings (CGS - 8)
Figure 19FE model and climbing distances (CGS - 8)
Figure 20Buckling of a curved column with self-contact (CGS - 9)
Figure 21FE model and reaction forces against vertical displacement at top (CGS - 9)
Figure 22Interference between two cylinders (CGS - 10)
Figure 23FE model and contact pressures between external and internal cylinders (CGS - 10)

Document Details

AuthorsPrinja. N Feng. Q
Date 1st January 2001


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