Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity
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-articu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Lubricants |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-4442/8/9/89 |
| _version_ | 1797554803370360832 |
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| author | Patricia M. Johns-Rahnejat Nader Dolatabadi Homer Rahnejat |
| author_facet | Patricia M. Johns-Rahnejat Nader Dolatabadi Homer Rahnejat |
| author_sort | Patricia M. Johns-Rahnejat |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T16:37:16Z |
| format | Article |
| id | doaj.art-dca916b67bd049eb8453fd0e3e696281 |
| institution | Directory Open Access Journal |
| issn | 2075-4442 |
| language | English |
| last_indexed | 2024-03-10T16:37:16Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Lubricants |
| spelling | doaj.art-dca916b67bd049eb8453fd0e3e6962812023-11-20T12:21:26ZengMDPI AGLubricants2075-44422020-09-01898910.3390/lubricants8090089Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying ConformityPatricia M. Johns-Rahnejat0Nader Dolatabadi1Homer Rahnejat2School of Engineering, University of Central Lancashire, Preston PR1 2XQ, UKWolfson School of Mechanical, Electrical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UKSchool of Engineering, University of Central Lancashire, Preston PR1 2XQ, UKIn 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.https://www.mdpi.com/2075-4442/8/9/89sub-surface stressesconcentrated counterformal contactsconformal contactscontact fatiguemicro-pittinginelastic deformation |
| spellingShingle | Patricia M. Johns-Rahnejat Nader Dolatabadi Homer Rahnejat Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity Lubricants sub-surface stresses concentrated counterformal contacts conformal contacts contact fatigue micro-pitting inelastic deformation |
| title | Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity |
| title_full | Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity |
| title_fullStr | Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity |
| title_full_unstemmed | Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity |
| title_short | Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity |
| title_sort | analytical elastostatic contact mechanics of highly loaded contacts of varying conformity |
| topic | sub-surface stresses concentrated counterformal contacts conformal contacts contact fatigue micro-pitting inelastic deformation |
| url | https://www.mdpi.com/2075-4442/8/9/89 |
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