This work presents a finite element study of elasto-plastic hemispherical contact. The results are normalized such that they are valid for macro contacts (e.g., rolling element bearings) and micro contacts (e.g., asperity contact). The material is modeled as elastic-perfectly plastic. The numerical results are compared to other existing models of spherical contact, including the fully plastic case (known as the Abbott and Firestone model) and the perfectly elastic case (known as the Hertz contact). At the same interference, the area of contact is shown to be larger for the elasto-plastic model than that of the elastic model. It is also shown, that at the same interference, the load carrying capacity of the elasto-plastic modeled sphere is less than that for the Hertzian solution. This work finds that the fully plastic average contact pressure, or hardness, commonly approximated to be a constant factor (about three) times the yield strength, actually varies with the deformed contact geometry, which in turn is dependant upon the material properties (e.g., yield strength). The results are fit by empirical formulations for a wide range of interferences and materials for use in other applications.
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STLE/ASME 2003 International Joint Tribology Conference
October 26–29, 2003
Ponte Vedra Beach, Florida, USA
Conference Sponsors:
- Tribology Division
ISBN:
0-7918-3706-8
PROCEEDINGS PAPER
A Finite Element Study of Elasto-Plastic Hemispherical Contact
Robert L. Jackson,
Robert L. Jackson
Georgia Institute of Technology, Atlanta, GA
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Itzhak Green
Itzhak Green
Georgia Institute of Technology, Atlanta, GA
Search for other works by this author on:
Robert L. Jackson
Georgia Institute of Technology, Atlanta, GA
Itzhak Green
Georgia Institute of Technology, Atlanta, GA
Paper No:
2003-TRIB-0268, pp. 65-72; 8 pages
Published Online:
January 7, 2009
Citation
Jackson, RL, & Green, I. "A Finite Element Study of Elasto-Plastic Hemispherical Contact." Proceedings of the STLE/ASME 2003 International Joint Tribology Conference. Contact Mechanics. Ponte Vedra Beach, Florida, USA. October 26–29, 2003. pp. 65-72. ASME. https://doi.org/10.1115/2003-TRIB-0268
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