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Analytical elastostatic contact mechanics of highly-loaded contacts of varying conformity

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posted on 03.12.2020, 09:57 authored by Patricia M Johns-Rahnejat, Nader DolatabadiNader Dolatabadi, Homer Rahnejat
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.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

Lubricants

Volume

8

Issue

9

Publisher

MDPI AG

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by MDPI under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

31/08/2020

Publication date

2020-09-02

Copyright date

2020

ISSN

2075-4442

eISSN

2075-4442

Language

en

Depositor

Dr Nader Dolatabadi. Deposit date: 2 December 2020

Article number

89