NAFEMS 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	1
List of Figures	3
1. Introduction	5
2. Technical background	7
3. Scope and objectives	9
4. Definitions	11
5. Classification of contact problems	13
5.1 Physical attributes
5.2 Numerical solution techniques
5.3 Geometric representation
6. Pitfalls in FE analysis	21
7. Summary of main contact issues	23
8. Selected benchmark problems	25
9. References	35
Table 1 Matrix of attributes covered by the selected benchmark problem	37
Figs. 1-23 Benchmark Figures	39

List of Figures

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

Document Details

Reference	R0081
Authors	Prinja. N Feng. Q
Language	English
Audience	Analyst
Type	Publication
Date	1st January 2001
Region	Global

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

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