| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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An Extension of the Two-Dimensional JKR Theory to the Case with a Large Contact Width |
| CHEN Shao-Hua, PENG Zhi-Long |
| LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190 |
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| Cite this article: |
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CHEN Shao-Hua, PENG Zhi-Long 2009 Chin. Phys. Lett. 26 124601 |
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Abstract In the Hertz and JKR theories, parabolic assumptions for the rounded profiles of the sphere or cylinder are adopted under the condition that the contact radius (width) should be very small compared to the radius of the sphere or
cylinder. However, a large contact radius (width) is often found in experiments even under a zero external loading. We aim at extending the plane strain JKR theory to the case with a large contact width. The relation between the external loading and the contact width is given. Solutions for the Hertz, JKR and rounded-profile cases are compared and analyzed. It is found that when the ratio of a/R is approximately larger than about 0.4, the parabolic assumptions in the Hertz and JKR theories are no longer valid and the exact rounded profile function should be used.
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| Keywords:
46.55.+d
62.20.-x
04.20.Jb
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Received: 14 July 2009
Published: 27 November 2009
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| PACS: |
46.55.+d
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(Tribology and mechanical contacts)
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62.20.-x
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(Mechanical properties of solids)
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04.20.Jb
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(Exact solutions)
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