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Open AccessArticle

Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity

1
School of Engineering, University of Central Lancashire, Preston PR1 2XQ, UK
2
Wolfson School of Mechanical, Electrical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK
*
Author to whom correspondence should be addressed.
Lubricants 2020, 8(9), 89; https://doi.org/10.3390/lubricants8090089
Received: 30 July 2020 / Revised: 29 August 2020 / Accepted: 31 August 2020 / Published: 2 September 2020
In applications requiring high load carrying capacity, conforming contacting pairs with a relatively large contact footprint are used. These include circular arc, Novikov, and Wildhaber gears found, for example, in helicopter rotors. Closely conforming contacts also occur in many natural endo-articular joints, such as hips, or their replacement arthroplasty. The main determining factors in contact fatigue are the sub-surface shear stresses. For highly loaded contacts, classical Hertzian contact mechanics is used for many gears, bearings, and joints. However, the theory is essentially for concentrated counterforming contacts, where the problem is reduced to a rigid ellipsoidal solid penetrating an equivalent semi-infinite elastic half-space. Applicability is limited though, and the theory is often used inappropriately for contacts of varying degrees of conformity. This paper presents a generic contact mechanics approach for the determination of sub-surface stresses, which is applicable to both highly conforming as well as concentrated counterforming contacts. It is shown that sub-surface shear stresses alter in magnitude and disposition according to contact conformity, and lead to the different modes of fatigue failure noted in practice. View Full-Text
Keywords: sub-surface stresses; concentrated counterformal contacts; conformal contacts; contact fatigue; micro-pitting; inelastic deformation sub-surface stresses; concentrated counterformal contacts; conformal contacts; contact fatigue; micro-pitting; inelastic deformation
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MDPI and ACS Style

Johns-Rahnejat, P.M.; Dolatabadi, N.; Rahnejat, H. Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity. Lubricants 2020, 8, 89. https://doi.org/10.3390/lubricants8090089

AMA Style

Johns-Rahnejat PM, Dolatabadi N, Rahnejat H. Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity. Lubricants. 2020; 8(9):89. https://doi.org/10.3390/lubricants8090089

Chicago/Turabian Style

Johns-Rahnejat, Patricia M.; Dolatabadi, Nader; Rahnejat, Homer. 2020. "Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity" Lubricants 8, no. 9: 89. https://doi.org/10.3390/lubricants8090089

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