An extension of the two-dimensional JKR theory to the case with a large contact width

Shao Hua Chen*, Zhi Long Peng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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the ratio of a/R is approximately larger than about 0.4, the parabolic assumptions in the Hertz and JKR theories are no longer valid and the exact rounded profile function should be used.

Original languageEnglish
Article number124601
JournalChinese Physics Letters
Volume26
Issue number12
DOIs
Publication statusPublished - 2009
Externally publishedYes

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Chen, S. H., & Peng, Z. L. (2009). An extension of the two-dimensional JKR theory to the case with a large contact width. Chinese Physics Letters, 26(12), Article 124601. https://doi.org/10.1088/0256-307X/26/12/124601