Relationship between contact size and static friction: An approach for rigid crystalline surfaces
Abstract Relationship between contact size (A) and static friction (f) has been studied for rigid crystalline systems. We built a series of systems with two identical surfaces but different orientations and investigated the effects of the size and shape of the contact area on static friction. In the...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2020-07-01
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| Series: | Friction |
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| Online Access: | https://doi.org/10.1007/s40544-019-0352-9 |
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| author | Hao Chen Xinlei Gao |
| author_facet | Hao Chen Xinlei Gao |
| author_sort | Hao Chen |
| collection | DOAJ |
| description | Abstract Relationship between contact size (A) and static friction (f) has been studied for rigid crystalline systems. We built a series of systems with two identical surfaces but different orientations and investigated the effects of the size and shape of the contact area on static friction. In these systems, there are numerous nontrivial commensurate contacts. Our results confirmed that the relationship between A and f was determined by both commensurability and shape of the contact. For commensurate contacts, f ∝ A independent of the shape. For incommensurate contacts, generally f ∝ A 0 for regular shapes or f ∝ A 1/4 for irregular shapes; however, in very few cases of regular shapes, f ∝ A 1/2. Moreover, in above systems, commensurability of a contact can be easily changed by a perturbation of the misfit angle. Therefore, if the perturbation caused by the lateral force and the deformation of the surface are considered (as is the case in real systems), further research is necessary. |
| format | Article |
| id | doaj-art-6db8b54643b64a7f9ea4645599ed0a7b |
| institution | OA Journals |
| issn | 2223-7690 2223-7704 |
| language | English |
| publishDate | 2020-07-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Friction |
| spelling | doaj-art-6db8b54643b64a7f9ea4645599ed0a7b2025-08-20T01:57:08ZengTsinghua University PressFriction2223-76902223-77042020-07-019350251210.1007/s40544-019-0352-9Relationship between contact size and static friction: An approach for rigid crystalline surfacesHao Chen0Xinlei Gao1School of Chemical and Environmental Engineering, Wuhan Polytechnic UniversitySchool of Chemical and Environmental Engineering, Wuhan Polytechnic UniversityAbstract Relationship between contact size (A) and static friction (f) has been studied for rigid crystalline systems. We built a series of systems with two identical surfaces but different orientations and investigated the effects of the size and shape of the contact area on static friction. In these systems, there are numerous nontrivial commensurate contacts. Our results confirmed that the relationship between A and f was determined by both commensurability and shape of the contact. For commensurate contacts, f ∝ A independent of the shape. For incommensurate contacts, generally f ∝ A 0 for regular shapes or f ∝ A 1/4 for irregular shapes; however, in very few cases of regular shapes, f ∝ A 1/2. Moreover, in above systems, commensurability of a contact can be easily changed by a perturbation of the misfit angle. Therefore, if the perturbation caused by the lateral force and the deformation of the surface are considered (as is the case in real systems), further research is necessary.https://doi.org/10.1007/s40544-019-0352-9static frictioncontact sizenumeric simulationrigid body |
| spellingShingle | Hao Chen Xinlei Gao Relationship between contact size and static friction: An approach for rigid crystalline surfaces Friction static friction contact size numeric simulation rigid body |
| title | Relationship between contact size and static friction: An approach for rigid crystalline surfaces |
| title_full | Relationship between contact size and static friction: An approach for rigid crystalline surfaces |
| title_fullStr | Relationship between contact size and static friction: An approach for rigid crystalline surfaces |
| title_full_unstemmed | Relationship between contact size and static friction: An approach for rigid crystalline surfaces |
| title_short | Relationship between contact size and static friction: An approach for rigid crystalline surfaces |
| title_sort | relationship between contact size and static friction an approach for rigid crystalline surfaces |
| topic | static friction contact size numeric simulation rigid body |
| url | https://doi.org/10.1007/s40544-019-0352-9 |
| work_keys_str_mv | AT haochen relationshipbetweencontactsizeandstaticfrictionanapproachforrigidcrystallinesurfaces AT xinleigao relationshipbetweencontactsizeandstaticfrictionanapproachforrigidcrystallinesurfaces |